ENERGY SCIENCE REPORT No. 5
This Report was first published by the author in 1994 and was reissued later and made more generally available from Sabberton Publications as ISBN 0 085056 0217 in October 1996. It is now made available freely via this Internet facility. It concerns theory pertaining to the creation and properties of deuterons which, as present in atoms in heavy water, deuterium oxide, are involved in the experiments which gave birth to the notion of ‘cold fusion’. The technology of that field is slow to develop and, though the author did plan to write a Part II Report as a sequel to this report, which is entitled POWER FROM WATER: COLD FUSION: PART I, this has not materialized. This Report nevertheless is an important contribution to the theory of the subject, also because it explains how the triton, the third isotope of hydrogen is created. It is worthy of study as an adjunct to the author’s latest work, the book: The Physics of Creation, because the latter explains in updated detail how the proton itself, the primary isotope of hydrogen is created. For this reason it is given priority in updating this website by now adding progressively each of these ten Energy Science Reports as they are withdrawn from normal printed publication. It should be noted that the book just referenced is a substantial work and should not be confused with Appendix A of this Report, which has the same title. The latter featured as a 12 page Chapter 4 in the author’s book GRAVITATION, published in 1975, which gives an early insight into what has now become a 28 year-old account of the origin of proton creation. ………. Harold Aspden, 1 June 2003
Introduction
This Energy Science Report draws attention to the revelance of
theoretical work pursued by the author over many years before the advent
of the now well-known ‘cold fusion’ discoveries reported from Utah in
1989.
It will be followed by a Cold Fusion: Part II Report, which
will be more specifically directed to the author’s patented technology
which is emerging from this theoretical base.
The object of this Report is to show how the ‘cold fusion’
scenario is destined to impact the whole field of fundamental physics,
ranging from cosmology generally to the pursuit of energy generation
techniques that are so fundamental that they can harness the still-latent and ever-present forces which brought about the creation of the
universe.
These Energy Science Reports are all connected with that
underlying groundwork in energy physics that the author has surveyed,
driven by his interest in magnetism. Thus Energy Science Report No. 1
concerned ‘Power from Magnetism’ and described three of the author’s
experiments which point the way forward to what many term ‘free energy’.
We are assuredly destined to see rapid strides in this technological
field in the months and years ahead and we will enter the 21st century
with a whole new vision of our energy future.
Only today, 15th April, 1994, as the author writes the first words
of this report, a communication was received which draws attention to
what is termed ‘UDT’ – Unidirectional Transformer – which Paul Raymond
Jensen of Santa Barbara, California claims to have invented. When
readers of my Energy Science Report No. 1 become aware of Jensen’s
‘UDT’ and compare the transformer with that shown in Fig. 4 of that
Report they will see how the solid-state ‘free energy’ ferromagnetic
device can now emerge on the ‘free energy’ scene.
With the same prospect evolving on the magnetic reluctance motor
using permanent magnets, as championed, for example, by New Zealander
Robert G. Adams, this author has planned an Energy Science Report
concerned with motor technology. However, here also, whilst currently
in the throes of experimentation, it has come to light that a researcher
named Frank F. Potter has, for many years, been urging university
professors in U.K. to work on the prospect of tapping the energy field
that powers a magnet. He has challenged them to do the calculations
on specific field coupling involving magnets to prove the case one way
or the other.
In spite of the interest engendered, the usual establishment reserve
about the so-called ‘perpetual motion’ machine has kept the Potter
issue private and not brought it into open forum. However, this author,
having now heard of this, has responded to the challenge and has brought
ahead of schedule ‘Energy Science Report No. 4: The Potter Debate’
which was completed on 10th April, 1994. That Report provides a
mathematical basis which will help critics of the ‘free energy’ field to
come to terms with what is now bound to disturb the world of those
experts who know how to design electrical transformers and chokes but
appear not to know how close they are to a new technology that can
provide an energy bonanza.
The intervening Energy Science Reports Nos. 2 and 3 are captioned
‘Power from Ice’, and relate to experimental work on a thermoelectric
energy converter in which the author is involved as inventor. These
Reports exist only in confidential draft form at this time but that
technology does spill over into something that will be said about the
‘cold fusion’ research, particularly in the Part II Report.
This introduction, therefore, explains how this text fits into the
series of Energy Science Reports by which the author has chosen to update
his published research findings prior to incorporation and consolidation
in a more formal book form. The ‘free energy’ scene is now evolving
so rapidly that it is better if such a book is written once the author has
possession of his own working ‘free energy’ generator and can provide
full test data on a practical system.
The Black Hole Syndrome
This may seem an unusual heading for a text about ‘cold fusion’,
but the physicists who believe in ‘black holes’ think as do physicists who
do not believe in ‘cold fusion’. This is a very relevant comparison as
one can see from the following remarks.
1. All physics is built on observation of how electrical particles
behave, whether individually or in aggregation as matter. The
interaction forces between such particles control their coming
together, whether to form atomic nuclei, molecules, composites,
crystals or stars and planets.
2. Physicists tend to extrapolate their knowledge of experimental
behaviour to realms far beyond the bounds governing the conditions
of their experiments. They seek to probe territory they cannot
reach, but always build with confidence on the certain founding
knowledge derived from experiments on what they can see or what
they can explore in a laboratory.
3. The neutron as a real particle has only been detected upon
creation in the free state and it has a half-lifetime measured in
minutes but physicists extrapolate and create ‘neutron stars’ in
their imagination, stars which survive far longer than a few
minutes! They cannot ‘see’ a neutron in an atom, such as in the
deuteron, but they assume it is there because the deuteron has two
atomic units of mass and one of charge. But, surely, one could
better surmise that two anti-protons plus three positive beta-particles represent two atomic units of mass having one positive
unit of charge. We know that atoms decay by shedding beta-particles and what we could suspect is that, if they shed an anti-proton and a positive beta-particle, so that would manifest
itself as a short-lived ‘neutron’! If, on this basis, there are no
neutrons in an atomic nucleus such as the deuteron, then is it
really surprising to find no neutron emission when we contrive to
capture those positive beta-particles by free conduction
electrons in the host metal cathode of a cold fusion cell? On
the contrary, physicists go the other way and make their
unwarranted quantum leap by recognizing that neutrons are able
to form stars that have no electrical resistance to the crushing
force of gravitation – even though those free neutrons in the
laboratory show a substantial negative magnetic moment!
4. They cannot see a ‘black hole’, but they can imagine matter
becoming so compact, as gravitational interaction forces become
so strong as to out-weigh and preclude the intervention of
electric forces between those charge constituents of the neutron.
They are thereby assuming that gravitation is a force so
fundamental that it transcends and displaces electric force from
a primary role that is so evident in laboratory findings from
atomic physics.
5. Those physicists can see in certain remote galaxies certain effects
which suggest the coming together of electrical matter, which, by
all the basic rules of physics, should not occur because electric
forces resist nucleation. Their evidence is a strong gravity
force, abnormally related to the mass of the visible body acted
upon or a substantial redshift in the optical spectrum of atoms
radiating from the nearby field zone. Their assumption is that the
universe was born in a Big Bang where everything was overheated
and had such energy content that all physical barriers could be
overcome. Anything is possible in such a vision!
6. So, if excess heat is seen to emerge from a deuterated palladium
cathode in a ‘cold fusion’ cell, that could suggest that
‘nucleation’ or fusion has occurred between deuterons, overcoming
their mutual electric repulsion in that metal palladium.
However, those who believe in ‘black holes’ are not inclined to
believe in ‘cold fusion’ because they know that the ‘black-art’
assumptions needed to create the ‘Big Bang’ and the ‘black hole’
are not as easy to apply inside a lump of palladium on a
laboratory test bench.
7. This ‘disbelieving’ body of physicists has other ‘disbeliefs’ as
well. They rely on their ‘practical’ knowledge of gravity and
measurement of G to calculate ‘black hole’ properties, but do
not believe that there is a real ‘aether’ medium, the distortion of
which generates that gravitational action. They believe in
mathematical extrapolation and that means reliance on equations
do not ‘rupture’ when under excessive stress, as does real matter
or real ‘aether’. What, indeed, is the tensile strength or the
compressive strength or the shear strength of what physicists call
4-space? What, one wonders, are its internal dimensions, the
distances between its component parts? Without common ground on
which to stand in talking about ‘aether’ or ‘space-time’, one
cannot discuss with such physicists how it is that the ‘crystal’
structure of the aether itself determines the ‘fine-structure
constant’ they use in their atomic physics. One cannot discuss with
such physicists how it is that the sub-quantum motion underlying the
Planck action quantum interacts with matter present to force a
need for a dynamic balance, which in turn demands the presence of
a discrete and unseen graviton population. One cannot therefore
get such physicists to listen to the formal account by which G,
the constant of gravitation, is derived in terms of that dynamic
balance. And so it follows that one cannot put the case to
such physicists that, where matter is very concentrated, as within
an atomic nucleus in the mid-range of the periodic table, the
aether is not too far from the stress limits that govern graviton
creation conforming with G as measured in our laboratory.
8. It seems that there is no way in which one can lead a ‘disbelieving’
physics community out of their wilderness, even if one uses their
own language and words with which they are familiar. All one
can do is to destroy their beliefs with the mighty blow forthcoming
from the reality of a technological breakthrough. Whether this
comes from ‘cold fusion’ or from ‘free energy’ sourced in
ferromagnetism matters not, so long as there is that
technological breakthrough. What is needed is something that
points to evidence of how protons and deuterons are created
preliminary to their fusion to form heavier forms of matter and
how Planck’s action in the underlying aether spills out energy to
feed that creation.
9. The ‘black-hole’ supergravity that can occur in very dense
matter cannot be explained until one can explain gravity in
normal matter and until one can further explain the factors
which determine the value of the fine-structure constant. If, for
example, Planck’s constant were to change in a step function as
a function of the mass density thresholds in very dense matter,
related to the concentration of aether energy, so that would
affect the interpretation of the so-called ‘black hole’ evidence.
10. If, in striving to sustain a dynamic balance, the aether responds
in a dual dynamic action to the passage of electromagnetic
waves, so this could affect energy deployment implicit in
Maxwell’s wave equations and it could explain why the aether
medium appears non-dispersive. These possibilities are not even
considered by physicists who insist on building only on their ‘past
experience’ without looking at the foundations to see what might
have been missed. So, we advance by the accident of discovery,
and, it seems, ‘cold fusion’ is one such accident. It remains now
to convince physicists generally that there is excess heat generated
in a cold fusion cell and then they can begin to think of revising
their theories. This they will do in their own way, mindless of the
work of record that can help them in that task.
11. Inasmuch as this author began in this field by first making the
magnetic case for a real aether, then by determining the structure
of that aether and deducing the fine-structure constant and going
on from there to explain the connection with gravitation and
proton creation, so it seems appropriate to lead from that into
the subject of this Report. ‘Black holes’ and an ‘expanding
universe’ conceived by physicists who were unaware of how Nature’s
ongoing attempts at proton creation in space can progressively
reduce the frequency of electromagnetic waves in transit, plus
the illusions of Einstein, have made them deaf to what this author
has been saying over the years. In spite of this the author will
here try once again to introduce his theory of proton creation and
with it the creation of neutrons and deuterons, all to give basis
to the new physics essential to our understanding of what underlies
‘cold fusion’ and of that deeper source of ‘free energy’ from
which protons and deuterons are created. The author will further
show how gravity features in this act.
12. One could not advance a theory on the scale provided by this
author without encountering numerous obstructions where one has
to pause to explain why others who claim something different have
gone wrong in their own endeavours. The ‘cold fusion’ issue has
run into such problems. However, here it has not been a question
of theory. There is now too much theory and not enough fact and
so it is that the author feels he can let his own theory pertaining
to cold fusion stand the scrutiny of others in this contest before
needing to consider its defence. No, the rival claims in the
‘cold fusion’ field are those of experimenters. Whilst there are
the pioneers who persist experimentally in their onward research,
there are the others who rely on their personal ‘experience’ of
confirmatory tests which have failed. Thus, whilst the author
makes no special claim for superior wisdom in this experimental
field, he has a comment to offer on the latter topic. It is
merely an observation that to get two like-polarity charges to
come together in a metal conductor one needs a standing charge
of opposite polarity set up in that metal. One way of creating
this condition is by setting up a non-linear orthogonal
configuration of the temperature gradient and the magnetic field
in the metal. In attempting to use uniform temperature
calorimeter test apparatus enclosing the cold fusion cell,
researchers are choking off the possible catalyst temperature
gradient that could well be needed to trigger deuteron fusion.
That topic will be discussed in the Part II Report and, pending
that, readers may see some mention of this in New Energy News:
April 1994: ‘Patents for Cold Fusion’ pp. 3-5.
It is hoped that the above discourse will explain why ‘cold
fusion’ is seen by this author as offering more than a technological
route to a non-polluting new source of energy. Nor is it merely
something that can affect attitudes by nuclear physicists in their
particular discipline. It is, in fact, a route to something of far
greater consequence in that it gives us an insight into the true forces
of Creation.
It is appropriate here to remind the reader that ‘cold fusion’ is
very much concerned with whether, and if so, how, hydrogen nuclei,
adsorbed into a host metal and having their atomic electrons exposed to
the interplay with free conduction electrons in that metal, can fuse
together to release energy. The mutual transmutations and transient
behaviour of the nuclei of the hydrogen isotopes, the proton, the
deuteron and the triton, is what concerns us in finding the answer to
these questions.
The Triton Factor
One is not far from claiming the ultimate scientific achievement
when one declares an ability to calculate the proton mass
theoretically in terms of electron mass, based on showing how Nature
creates that proton.
One should not then be surprised if the same theory explains other
phenomena and leads to the precise derivation of other fundamental
dimensionless physical constants, such as Planck’s constant and the
gravitation constant G.
Whilst the author has waited patiently for his work in this field to
be appreciated and recognized by the world at large, to no avail so
far, it has been personally satisfying to see how the same theory yields
the solutions to lesser problems, such as those posed by the muon, the
pion and the kaon or the neutron and the deuteron.
The key interest on which this research was founded was that of
understanding the electrodynamic properties of these particles and
relating the quantum of action of a real aether with the
electrodynamics of the gravitons which determine the force of
gravitation.
In the Appendices to this Report some of the relevant published
papers are reproduced, so there is no point in discussing that work in the
body of this text on ‘cold fusion’. However, not reproduced elsewhere
is an account presented in a book entitled ‘GRAVITATION’ which the
author published in 1975.
The subject was that of showing how heavy electrons (the mu-mesons
or muons) which account for the primary energy action in the aethereal
vacuum medium come together to create particles from which evolve
protons and gravitons. Their action in creating protons is fully
disclosed in the paper reproduced in APPENDIX D. The paper in
APPENDIX E deals with the neutron and the deuteron and particular
reference is made to Table II in that paper which shows how a deuteron
alternates between three states, one of which is electrically neutral
with a transiently-free -particle, a state which makes it particularly
vulnerable to fusion with another deuteron.
Concerning gravitation, the author could further include ‘The
Theory of the Gravitation Constant’, as published in Physics Essays, 2,
pp. 173-179 (1989), but as that will be appended to ENERGY SCIENCE
REPORT NO. 6, the reader is invited to refer to that. However, a
summary introduction is presented below as APPENDIX A, reproduced
from pp. 44 to 52 of the author’s 1975 book entitled ‘GRAVITATION’.
It provides a pictorial scenario showing how particle building can
occur to develop the proton into the graviton needed to explain the
derivation of G, the constant of gravitation.
From the viewpoint of ‘cold fusion’ this is relevant because one
needs to be assured that a theory developed for the proton, the neutron
and the deuteron is consistent with the physics needed to explain other
phenomena and, as ‘black holes’ and gravitation have been mentioned, the
link between protons and gravitation should be of interest. Knowledge
of the graviton mass is essential if one is to calculate the value of
G.
The underlying theory was extremely simple in that the energy
formula for two electric charges in contact is a quadratic equation
having two solutions for the same energy value if one of the charge
energies is a variable. This is because the energy of a charge e is
inversely proportional to its bounding radius. Therefore, given two
particle energy quanta, each nucleated by the standard unit of charge,
one finds that a third particle form is created with no energy
requirement. In an energy-active world, the separation and
recombination of such particles and the ongoing regeneration of new
particle forms amounts to a creation process. The question then arises
as to which particle forms win in the contest for survival and it is
found that only those having special secondary resonance properties can
enjoy a long life span.
In this contest for survival of particles, newly created by
drawing on the pool of surplus energy, there are those which are created
at very nearly the same mass by two different combination sequences.
This gives them a dominant advantage but the only long term survivor
in real matter is the proton.
This means that the heavier particles of matter are formed by
taking protons and/or antiprotons as basic building blocks and
combining the -particle constituents, the electrons and positrons of
the quantum-electrodynamic field background.
The deuteron has to be an electron-positron-proton-antiproton
composition of some kind, whereas the triton, the third isotope of
hydrogen, can be of similar composition, but of more complex form.
The reason for this is the fact that the basic graviton has a mass
greater than twice the proton mass but not as great as three times the
proton mass. Therefore, a closely-bound structure will constitute
the deuteron, whereas the triton will need to have its mass seated in two
end regions standing apart and not closely-bound by a -particle
linkage.
It was on these lines, that the theory of the deuteron and triton
evolved, but the key to determining their actual structure was the
evidence afforded by their precise mass and by their electrodynamic
response properties as known from their magnetic moments. The same
applied to the neutron, which, like the triton, had a third parameter to
bring in as evidence, namely a measured lifetime.
Such data, when deciphered, showed that the deuteron, for example,
was exchanging states by particle and anti-particle annihilation and
recreation and that in some states it had a satellite system or
‘entourage’ of ‘free’ -particles, meaning that they could migrate a
very limited distance into a host metal containing such a deuteron.
For the neutron the lifetime became calculable but, as the theory
evolved to build into a model of nuclear chain linkage as atoms of
greater atomic number formed, so the neutron could not be seen as part
of the atomic nucleus. It only exists in a free condition where it has
that limited lifetime.
It is only very recently that the triton data has been deciphered
and the theory has been proved very successful in interpreting the
lifetime. Note that lifetimes are calculated on the basis of
destructive bombardment by combinations of mu-mesons featuring in their
quantum-electrodynamic dance in that aethereal field background.
The work on the triton has followed closely on the discovery that
the proton and deuteron have an abundance relationship that is set by
their interaction in this aethereal background field, as deuterons are
primed to undergo fission to recreate protons, whilst protons merge by
fusion to create deuterons.
The showing that the deuteron and the proton have a relative
natural abundance that is determined by an ongoing physical process
forms the subject of APPENDIX B, whereas the derivation of the
lifetime of the triton is presented in APPENDIX C.
It is noted that the author has written many other papers that
connect with the above theory and five, in particular, warrant mention
and are commended for library reference to interested readers as they
will not be included in this initial series of the author’s ENERGY
SCIENCE REPORTS.
They are:
(a) ‘Meson Production based on Thomson Energy Correlation’,
(b) ‘An Empricial Approach to Meson Energy Correlation’,
(c) ‘The Physics of the Missing Atoms: Technetium and Promethium’,
(d) ‘Conservative Hadron Interactions exemplified by the Creation of the Kaon’,
(e) ‘A Theory of Pion Creation’,
All these papers passed the test of referee scrutiny as did many
papers giving groundwork for the above developments that were published
in English by the Italian Institute of Physics in their Lettere Al Nuovo
Cimento series in the five or so years before that periodical terminated
publication at year-end 1985.
There will be those who read this text who stand ready to criticize
because there is so much in physics that can affect one’s views on
particle behaviour. For example, the wave nature of the neutron is
not something that may seem to fit easily into the picture presented
above. However, in fact, it does, because that β-particle ‘entourage’
already mentioned (see Table I in Appendix E) is what exhibits the wave
property.
The reader who is ready to discard the substance of this text on
that account should first read the author’s paper ‘The Theoretical
Nature of the Photon in a Lattice Vacuum’ to be found at pp. 345-359
in ‘Quantum Uncertainties’ Series B: Physics Vol. 162 (1986) in the
NATO ASI Series published by Plenum Publishing Corporation, New York.
Then the reader may refer to the author’s paper: ‘A Causal
Theory for Neutron Diffraction’, Physics Letters A, 119, pp. 105-108
(1986), before looking up those many other background papers in Lettere
Al Nuovo Cimento.
Indeed, for the reader who has a cosmological inclination, half
an eye on the ‘missing mass’ problem, and believes that steady-state
equilibrium by proton creation and decay is not compatible with the
redshift indication of an expanding universe, the author’s paper that
warrants special scrutiny is:
Lettere Al Nuovo Cimento, 41, pp. 252-256 (1984).
Conclusion
This Energy Science Report on Cold Fusion, in its Part I
contribution to the ‘Power from Water’ theme, is intended to present
some of the author’s relevant background theory in the scientific paper
form in which it has already been published elsewhere, though the paper on
the proton-deuteron abundance ratio is new to this work.
As already stated, Part II will address other aspects bearing
more directly on the technology of cold fusion, but this Part I
material is an essential introduction to show why it is that the deuteron
by its particle entourage can be partially embroiled in the electron-positron activity of free electrons in a metal host conductor. As
already mentioned, one can see from the reference in APPENDIX E the
situation where the core of the deuteron sits electrically neutral and
bare of charge for moments in a fluctuating environment of charge,
meaning that it is vulnerable to Coulomb barrier penetration by
charged deuterons, so giving chance of fusion.
Also, it is hoped that what has been said will cause some physicists
to realise that existing knowledge of fundamental physics has its
limitations but that ‘cold fusion’ research could well give us the
added stimulus leading to the needed insight into the forces at work in
creating the hydrogen nucleus and so understanding Creation on its
universal scale.
The reprinted papers forming APPENDIX D and APPENDIX E, are
copied with the kind permission from the Editors of the Hadronic Journal.
26th April 1994
DR. HAROLD ASPDEN
ENERGY SCIENCE LIMITED
c/o SABBERTON PUBLICATIONS
P.O. BOX 35, SOUTHAMPTON, SO16 7RB,
ENGLAND
[The text here in the printed version of this Energy Science Report No. 5 was copied from pages 44-51 of the author’s 1975 book ‘GRAVITATION’]
These pages can be seen in pdf format by using the following link:
Introduction
We begin by asking a question:
‘Bearing in mind that the chemistry, meaning the chemical-bonding
affinity, of heavy water is identical to that of ordinary water, would
a human being be: (a) more healthy, (b) less healthy or (c) as healthy if the
water intake to the body were to be heavy water rather than
ordinary water?’
As we approach the 21st century our scientific knowledge should
have an answer to this question, especially as we know physicists are
trying to solve our energy problems by nuclear fusion processes which
utilize heavy water.
Putting the above question rather differently:
‘If a wealthy man were to create an environment in which he spent
most of his time with no exposure to heavy water, meaning that all
deuterium oxide or hydrogen deuteroxide is removed from the ordinary
water supplied to that environment, could he expect to benefit
healthwise and live longer?’
Perhaps, unknown to this author, the answer to these questions is to
be found somewhere on university library shelves. The author, in giving
limited consideration to this question, referred to a textbook in his own
possession, the third edition (1957) of ‘Physical Chemistry’ by Walter J.
Moore, Professor of Chemistry at Indiana, published in the original
American edition by Prentice-Hall Inc. of New York.
An end-of-chapter question on page 249 reads:
‘A normal male subject weighing 70.8 kg was injected with
5.09 ml of water containing tritium (9×109 cpm).
Equilibrium with body water was reached after 3 hr when a 1-ml sample of plasma water from the subject had an
activity of 1.8×105 cpm. Estimate the weight per cent of
water in the human body.’
The triton is the atomic nucleus of tritium, the third isotope of
the element hydrogen, so, in a sense, one can infer from the latter
exercise question that the body intake of very heavy water involving
tritium will make the body radioactive and that cannot be good for
one’s health. Yet the very fact that this exercise question appears in
a university textbook does suggest that water containing a
concentration of tritium can be used in clinical testing. Our interest
in the health implications of deuterium is therefore warranted.
Deuterium is not radioactive but we still have a valid and unanswered
question in wondering if heavy water is in any way damaging to health.
Deuteron Fission and Fusion as a Natural Phenomenon
In that same ‘Physical Chemistry’ textbook and chapter 9, with its
appended questions, we read on p. 244 about the ‘energy production of
stars’. Two nuclear processes are described as being alternative
possibilities. One involves a process in which C12 and H1 fuse to produce
N13 which in turn decays to C13 with the emission of a positron before
experiencing further regenerative fusion and decay iterations with
hydrogen and oxygen to yield ultimately He4. The other involves the
fusion of two protons to produce a deuteron and a positron, also
followed by the synthesis of He4.
It is said that the first of these, the carbon cycle, is the source
of energy in very hot stars, whilst the second involving deuterons
applies to somewhat cooler stars like our sun. Amongst the steps in the
stellar carbon cycle there is one in which C13 combines with H1 to yield
N14 before the latter combines with H1 to produce O15.
Now, moving back to Earth and those end-of-chapter questions we
read:
‘According to W. F. Libby [Science, 109, 227 (1949)] it is
probable that radioactive carbon-14 (mean lifetime 5720
years) is produced in the upper atmosphere by the action of
cosmic-ray neutrons on N14, being thereby maintained at
approximately constant concentration of 12.5 cpm per g
of carbon. A sample of wood from an ancient Egyptian
tomb gave an activity of 7.04 cpm per g of carbon.
Estimate the age of the wood.’
The significance of this is that the physics of carbon-14 dating
depends upon the transmutation of atomic nuclei and the probability of
events involving exposure the atomic nuclei to bombardment by energetic
stimuli. Now, in simply assigning a mean lifetime to a particular
nuclear decay process the physicist can be hiding ignorance of something
behind his presentation of empirical fact. He knows that there is decay
and can measure the mean lifetime involved, but we are not in every
case told why that decay occurs. Yes, we are told that the cosmic-ray
neutrons create C14 from N14, presumably by emission of a positron, but
we are not told what it is that sporadically bombards the C14 once it
is protected from exposure to the elements and which somehow triggers its
eventual decay.
There is, quite clearly, something in our non-cosmic Earth
environment that can activate nuclear fission and possibly nuclear
fusion reactions. This may be that mysterious something we call the
‘neutrino’ but one really must wonder whether that term ‘neutrino’ is
scientific ‘mumbo jumbo’ for what could be described as ‘a sporadic
intruding influence of an energetic interaction with an all-pervading
field background’. The advancement of energy science may depend upon
the development of a better understanding of that intruding influence,
because it surely must account for nuclear energy transactions which
can occur at normal temperatures as in that ancient piece of wood of
the carbon-dating example.
It is not very satisfying to be told that, inasmuch as energy and
momentum equations would not otherwise balance, there is need to
recognize the existence of particles we call ‘neutrinos’ or the even
enigmatic ‘neutrons’. There was in pre-20th century science the firm
belief in the existence of an aether medium which common sense suggested
as that ever-present hidden underworld which could sustain electric field
oscillations travelling through a vacuum. In a sense, the modern
physicist has replaced that aether with a collection of imaginary
particles, whether termed ‘neutrinos’ or described as being ‘virtual’
which are the unseen denizens of the vacuum state which we can refer to
to ‘take up the slack’ created by gaps in our scientific knowledge.
Yet, is the conventional picture of that virtual ‘neutrino-inhabited’
quantum sea correct?
Let us return to our problem and focus attention upon the
transmutation of the hydrogen and deuterium nuclei, meaning the process
deemed to occur in the sun by which two protons fuse with release of
energy and a positron (or so-called beta-plus particle) to become a
deuteron. Also meant is the reverse process by which, given the right
stimulus, a deuteron can convert into two protons by emitting an
electron or so-called beta-minus particle. The latter possibility as
a natural process is suggested by the observation that the abundance
ratio of deuterons to protons is the same for matter found in comets
as it is for matter on Earth.
What universal process determines this ratio and keeps it constant?
Are we, instead, to believe that the ratio is one which evolves and so
changes, in which case we should try to explain why the comet presents the
same ratio as the Earth. Are we to believe that there was a Big Bang
in which the ratio of protons to deuterons was fixed in an atomic soup
which was stirred to a uniform and final mixture before the cometary
matter and the Earth condensed from that common nebulous mixture?
In the absence of verifying laboratory tests we shall never know
for certain the answer to these questions, but one can say that there is
more than the glimmer of a solution if the abundance ratio actually
measured can be deduced in the manner and style of the solution of those
end-of-chapter questions in that textbook entitled ‘Physical Chemistry’.
So, we now set our sights on explaining the proton/deuteron
abundance ratio ducumented at page 9-65 of the 1967 second edition of
the McGraw-Hill ‘Handbook of Physics’ edited by Condon and Odishaw.
According to this reference work, in every ten million atoms containing
hydrogen and deuterium there are 9,998,508 nucleated by protons and
1,492 nucleated by deuterons.
The conditions governing the fusion and fission of these atomic
particles must involve the element of chance, in that a combination of
events conducive to decay must occur as a probability function,
bringing about actions involving energy in a form which can materialize
or dematerialize in integer quanta we associate with decay particle
products (those beta particles).
Note that we speak of ‘decay’ both for the fission and the fusion
process as if decay can be a two-way or reversible operation. This has
meaning only if the real form of the proton and the deuteron is that of
a system which overall exhibits the stability of single-form existence
but yet which, inherently, undergoes cyclic alternations of state, as
between a ground state and one of greater energy.
Much more will be said about this subject in this and later work
and by reference to the author’s published papers, but the reader may here
consider two basic facts known to the particle physicist. These are (a)
that the deuteron exhibits a nuclear magnetic moment that is about
6/7ths of that expected in relation to its spin property and (b) that
the proton exhibits properties suggesting it is composed of three charges,
rather than a single charge. (See APPENDIX E and the Feynman
reference in APPENDIX A).
The deuteron property implies that it has a state for one seventh
of the time in which its positive charge becomes that of a satellite
beta-plus particle that has been transiently displaced from the mass of
its core, which thereby reacts as a neutral charge in its spin response
during that limited transient period.
The proton property suggests a ‘quark’ composition which this
author prefers to see as being that of a proton charge +e aggregated
with a (+e, -e) charge pair in the form of a beta-plus and a beta-minus
particle or, in the alternative, an antiproton charge (-e) aggregated
with two beta-plus (+e) particles.
For the actual proton this implies alternation between two
states in one of which the mass-energy is slightly greater than the norm
of that of a bare proton charge standing in isolation and in the other
of which the mass-energy is slightly lower than that norm.
For the deuteron, there are three alternative states, (a) one of
lowest energy, the ground state, in which two antiproton charges are
aggregated with three beta-plus particles, (b) the neutral state, of
greatest ‘core’ energy, where a (+e, -e) beta-particle charge pair sits
between an antiproton charge and a proton charge in the near presence
of a satellite (+e) beta-particle, and (c) the third energy state for
which two proton charges are aggregated with an intermediate beta-minus
particle with the (+e, -e) beta-particle charge pair in a satellite
position.
These particle ‘models’ are justified on other grounds in
APPENDIX E, but they serve here to give basis for our understanding
that a system of protons in a suitable combination of states can serve
collectively to permit a balanced energy transition involving the
creation of the deuteron in its least energy state. Similarly, it is the
transiently neutral state of the deuterons which permits their reaction
in an energy balanced transition which regenerates the proton.
To formulate the resulting abundance ratio of H1: H2 we write:
In the above equation:
S1 is the factor signifying the incidence of state when a transition
can occur involving the proton (this having the value 2 because there
are two equally probable states).
S2 is the factor signifying the incidence of state when a transition
can occur involving the deuteron (this having the value 7 because the
deuteron is in its vulnerable neutral core state for one seventh of the
time).
N is the number of protons that need to be subjected
simultaneously to the transition stimulus of the energy fluctuations
in the environmental field background in order to secure the energy
balance conditions needed to assure a transmutation.
n is the number of deuterons that need to be subjected
simultaneously to the transition stimulus of the energy fluctuations
in the environmental field background in order to secure the energy
balance conditions needed to assure a transmutation.
P1 is the net number of protons created by collective action in
a transition event.
P2 is the net number of deuterons created by collective action in
a transition event.
The evaluation of the four parameters N, n, P1 and P2 will be
our task below, but, to show the power of the argument being pursued,
it is of interest to recite the calculated values first. They are:
N = 35 n = 8 P1 = 18 and P2 = 16
Putting these in equation (1) gives the result:
which corresponds to a deuteron abundance factor of 1491 parts per ten
million compared with the observed factor of 1492.
This result is, at least in this author’s opinion, a very
significant scientific contribution.
It means that the physical processes that can occur in the oceans
of the Earth can establish this equilibrium ratio as between the abundance
of protons and deuterons to cause the heavy water content of the sea
to be a natural physical quantity maintained at a constant value.
One needs, of course, to apply the underlying theory to estimate the
time constant of the exchanges leading to equilibrium. This is measured
in thousands of years so that one can feel confident that a laboratory
store of deuterium hydroxide or heavy water will not convert into
normal water too readily.
More important, however, there are implications for the Big Bang
theory of cosmic evolution and for energy generation by so-called
‘cold-fusion’ methods, if deuterons and protons can undergo mutual
transmutation at the temperature of our environment. The abundance
ratio could not be computed by theory in the way suggested unless such
transmutations do occur and, it may be noted, none of those high energy
neutrons which are deemed so important in high energy physics are involved
in the processes discussed.
The Significance of the Deuteron Algorithm
The reason for terming the formulation in equation (1) as an
‘algorithm’ is the author’s way of saying that what has been discovered
is the short-cut route for solving a problem which, by orthodox
methods, would otherwise involve vast amounts of computer time. That
is assuming that the route to a solution by computer methods has been
devised and, as concerns the proton/deuteron abundance ratio, scientists
seem not, as yet, to have appreciated that the problem is amenable to
solution.
It is traditional in particle physics which involve hadronic mass
calculations for problems to be approached by iterative techniques
which take account of a vast number of interacting factors. This will
be better understood when we come to discuss what it is that determines
the proton/electron mass ratio. The algorithm we will use for solving
that problem is the ‘jewel in the crown’ amongst the arsenal already
mentioned. It has devastating implications for orthodox scientific
doctrine founded on so-called ‘quantum chromodynamics’.
However, as the scientific world knows from the hostility and
resentment aroused against the claims of Professors Fleischmann and
Pons for daring to imply that deuteron cold fusion had been discovered,
there is readiness to scorn progress in science that challenges cherished
beliefs.
Where the only product is an intellectual accomplishment
expressed as an equation which presents the numerical value of what is
a very fundamental dimensionless physical constant, then the wrath of
the establishment scientist can reach its zenith. The modern computer
allows one, by trial an error, to probe all combinations of numbers,
if one is willing to indulge in exercises that are arithmetic in character
rather than physically founded. It follows, by the doctrine that if
something is possible it will eventually happen, that scientists assume
the trial and error arithmetic exercise is at the root of any claim to
have deduced a physical constant.
They lack credulity and show no tolerance when one makes a claim
to explain the numerical value of a physical constant. What, they
ask, is the merit of deducing the value of a quantity having a
particular meaning in physics when the value of that quantity is already
known to high precision from our experimental measurements? They argue,
therefore, that to find acceptance one must, before it is measured,
predict a numerical value of a constant having real physical meaning,
so that eventual measurement of that quantity will deservedly command
attention.
This is not a logical posture, given that there are a limited
number of truly dimensionless fundamental constants in physics, all of
which have been already measured to very high precision. It is not a
logical posture because it means that we are denied the hope of ever
allowing a simple algorithmic approach to confirm to us the discovery
of insight into the factors which govern the constant of gravitation,
Planck’s constant and that proton/electron mass ratio already
mentioned. It is, however, deemed acceptable to allow the
supercomputer to try to decipher the mysteries of Nature whilst feeding
it with mathematically elegant instructions designed to test artistic
notions of symmetry.
That said, the author challenges the reader to examine equation (1)
and consider the skill needed to contrive its discovery and the choice of
parameters had the author really probed the problem by exercising a
computer.
Firstly, consider the simplicity of the equation and its symmetry
as between the proton-deuteron transition of the numerator and the
deuteron-proton transition of the denominator. Then consider the
chances, with an arbitrary choice of integer numbers for S1, S2, N, n,
P1 and P2 of finding the correct solution and, after choosing an
appropriate combination of integers, consider the scope for devising a
plausible physical model giving meaning to the integers selected. Note
that the author could have put the integer 9 for P1 and the integer 8
for P2, if the basis of the formulation had not developed from direct
physical analysis.
One may wonder what solution the trial and error computer search
would have found had the objective been set for this general equation
to give the right answer to within the one in thousand precision assuming
any integer combination other than that presented above is to be regarded
as valid. There are in fact many possibilities but then one confronts
that formidable task of justifying in physical terms which combination
applies and how each of the numbers chosen has a valid role in
determining the proton-deuteron abundance ratio. In the absence of a
tentative model to guide one’s endeavours that is not a worthwhile
pursuit.
Physicists are not loath to wasting time on such a project,
judging by the attack on the theoretical value of the dimensionless
quantity incorporating Planck’s constant. This is a reference to α-1,
the constant we know as having the value 137.035 9895(61). In 1970 a
physicist named Wyler claimed a derivation for this constant as 137.036
082 by presenting a formula including the quantity π and the integer
numbers 1, 2, 4, 5, 8 and 9. As is explained by Petley in his 1985 book
‘The Fundamental Physical Constants and the Frontiers of Measurement’,
it was in 1971 that Robertson, Roskies and Prosen brought disrepute to
such work by arbitrarily sythesizing values of α-1 with the aid of a
computer. Using a similar format to Wyler’s equation, given some
ground rules and arbitrary combination and choice of 11 integer numbers
and further including , the computer found 6 values of α-1 all
closer to the measured value than was Wyler’s value. The integers
ranged up to 19 in value and one can but deplore this ‘numbers game’
exercise, as a means for suppressing genuine physically based endeavour
by those who seek to solve the great mysteries of physical science. The
fine structure constant α concerns the action we associate with
Planck’s constant. It is at the very heart of the Energy Science to
be discussed in these Reports.
It is with that background in mind that the author invites the
reader to examine the algorithm presented in equation (1) and consider the
problem of devising a physically meaningful result in such good accord
with the measured value, if that accord were fortuitous.
However, for the benefit of the reader who seeks the truths of this
situation, we will first summarize the process involved and then begin
the analysis of the energy transactions which govern equation (1).
How is it that protons can transmute into deuterons and vice
versa as an ongoing natural process, when the mass-energy of two
protons exceeds that of the deuteron?
The reason is that, owing to vacuum energy fluctuations, both
the proton and the deuteron are constantly experiencing changes of
state in which they have slightly changed mass-energy.
It so happens that the highest energy state of the deuteron which
applies for one seventh of the time is one for which the energy is higher
than twice the lowest energy state of the proton. The proton ground
state applies for what is virtually half of any period of time. The
other half is spent in its higher energy state and it flips cyclically
between the two states halting very momentarily between these two states
whilst in its ‘bare proton’ form. The presence of beta particles when
in either of the two principal energy states account for the mass
differences.
Accordingly, the deuteron to proton transformation occurs when
the deuteron is in its highest energy condition. Conversely, the protons
cooperate in creating a deuteron by action focused on the deuteron
ground state.
The analysis by which these actions can be fully understood does,
therefore, require the background study of the state composition of the
proton and the deuteron.
For the purpose of this Report, it suffices here to refer to
APPENDIX A in which the author discusses the three-part proton and
APPENDIX E, which concerns the deuteron.
As to the proton, the ‘bare proton’ has a definite mass that is
1836.152 times the electron mass, as calculated in APPENDIX D, but,
by reference to Feynman in APPENDIX A, we saw that the proton in its
normal state behaves as if its charge is spread between three centres.
In fact it is alternating between states, being at times a bare proton
charge and at other times having close association with an electron-positron pair and even in another state becoming an antiproton coupled
to two positrons – or rather beta-particles, because physicists prefer
not to think of electrons and positrons as being nuclear constituents.
In its beta-particle association it has a mass increased in one
state by a value very close to 0.25 electron mass units and decreased
in the other least-energy ground state by very nearly 0.25 electron mass
units. For the purpose of the calculations of the deuteron-proton
transmutations the time spent in the intermediate ‘bare proton’ state,
in order to keep the overall mass-energy balance at a mean value
equal to that of the ‘bare proton’, is quite negligible.
The reader is here reminded that particle physicists picture the
proton as comprising quarks as if it has three separate fractionally
charged components. This author urges the reader to think in terms of a
proton which changes form between three states in each of which its
component charges are unitary at all times. This author is urging the
reader to keep in mind that charges can be created and annihilated in
pairs and that this is a property of the beta-particles known from
quantum electro-dynamics. It needs little imagination to recognize
that such charge transmutations occur inside protons and deuterons and
that there could even be some polarity inversion or exchanges involved
between beta-particles and protons when they are so closely bound
together in atomic nuclei.
Physicists who believe in fractionally charged quarks are leaping
into the unknown and making unwarranted assumptions. All the evidence
points instead to transmuting forms of unitary charge particles which
only appear on a statistical average to be fractionally charged.
They are, in fact, exchanging energy with nearby charges and
participating in vacuum field effects of pair creation and annihilation
activity. Therefore, they exhibit behaviour reflecting their average
condition. Of course, when they emerge from their bondage in the
composite particle form they must appear as unitary charges, which
explains why the so-called quark has never been isolated in any
experiments.
Just as the physicist assumes that there is a neutron in the
deuteron, so he has assumed that there are quarks in the proton. That is
ill-founded assumption which can be remedied by understanding what is
offered in this text as an explanation for proton-deuteron quantities
which can be measured against the theory.
We now delve into the detailed analysis leading to the prime
formula specifying the natural proton:deuteron abundance ratio.
Energy-Balance Criteria
It will be argued that, for the simple particle structures
involved in the deuteron and proton states, we can assume for close
approximation purposes, that energy transactions between these two
particle forms involve quantities corresponding to quarter units of
the rest mass-energy of the electron.
Should the reader question this it may help to refer to another
older textbook, this being ‘Modern Physics’ by Professor H. A. Wilson of
the Rice Institute at Houston, Texas, reprinted in 1946 from the 1937
second edition (publishers Blackie & Son Limited, London).
It is at p. 261 in the chapter on Atomic Nuclei that Wilson begins
to discuss the fact that the energy released in nuclear reactions,
particularly those involving the lighter atoms, is nearly always in
approximate multiples of 0.387 MeV. This is 0.757 units of electron
rest-mass energy, but, for reasons that will later become apparent,
we will assume that this corresponds to three of the quarter units just
mentioned.
It seems quite logical, therefore, to look to the electron or the
positron (that is, the beta particles associated with nuclear decay) as
providing the ‘glue’ or binding energy holding the heavy charges (the
hadrons) together in an atomic nucleus.
The deuteron when bombarded by very high energy from a radioactive
gamma ray source breaks up by emitting two heavy particles, one being
the proton. The other heavy particle is a neutral entity which we call
the ‘neutron’. The neutron is unstable and has a mean lifetime of
about 15 minutes, breaking up into a proton and an electron. It
follows from this that one could say that a deuteron comprises two
protons and an electron. Remembering then that the proton is deemed to
comprise three charged components it is not unreasonable to believe
that, when it stands in isolation, it comprises a heavy positive charge
in close association with an electron-positron pair or a heavy negative
particle closely bound between two positrons. In this scenario the
‘neutron’ can be a neutral aggregation of an electron and one of
these proton forms.
We come therefore back to the rather simple proposition that
electrons and positrons exist in atomic nuclei and account for the
binding energy which holds the protons and antiprotons together. There
are no neutrons, as such, in atomic nuclei.
Now, based on Table II in APPENDIX E, it can be seen that we
can state the highest and lowest energy states of the deuteron in terms
of their ‘proton’ P unit composition and ‘electron mass units’ E. The
latter are units of 2e2/3a, so that state A has energy 2P+3E-35E/8
because the deuteron, as such, incorporates three -particles. State
C has energy 2P+E-18E/8, there being only one -particle in the deuteron
core. The intermediate state B deuteron has an energy 2P+2E-25E/8,
which is the highest. In contrast the proton has a least energy P+2E-9E/4 and a highest energy of P+2E-7E/4.
Consider now the action needed to produce ground-state deuterons
from protons which have net energies of -E/4 or +E/4. The action we
contemplate will involve no net energy exchange in the transmutation
process, but may involve fluctuations of energy. Also, we will
presume the decay of protons is conditioned at an energy level matching
that at which protons are created, this is in their bare charge form with
no satellite electrons or positrons. The proton input to the deuteron
creation process must then involve an even number of protons involving
equal participation of those with net +E/4 energies and -E/4 energies
(meaning -7E/4 and -9E/4 interaction energies, respectively).
Our deuteron creation reaction will involve N three-charge
protons creating x ground-state A deuterons plus y bare electrons or
positrons and z residual protons in their bare charge state.
The rules governing a decay process of this kind are that the space
occupancy by electron and positron charge and so their intrinsic energy
content must be conserved, as must interaction energy separately and
the numbers of bare proton or antiprotons. Noting that the deuteron
ground-state interaction energy is given by -35E/8 and that its
electron/positron content is 3, so one can then write:
space conservation: 2N = 3(x) + y …………………………….. (2)
energy conservation: (35E/8)x = (7E/4 + 9E/4)(N/2) …….. (3)
proton conservation: N = 2(x) + z ………………………………. (4)
It requires simple algebra to find the solution for minimal
residue, meaning z is minimum with N finite. It may be verified that the
following combination of numerical values satisfies the three
equations:
16 .. 22 .. 3 .. 35
32 .. 44 .. 6 .. 70
From this one finds the unique solution, which is that a trigger
event involving 35 protons produces 16 ground-state deuterons. The
protons can be in either of two states and at their transition through
the bare state some will be tending to increase energy and others will
be tending to decrease energy. This trigger event occurs when all 35 are
in the same transient increasing energy state, meaning an event
probability factor, the inverse of which is proportional to the numbers
of protons in the equilibrium system. The latter factor is (2)35.
The reverse process involves a vacuum field fluctuation
supplying 0.511 MeV of energy as part of the trigger event by which
deuterons in their transient highest energy B state are raised to the energy
level at which they can transform into proton pairs. There is a
governing requirement for other transient energy input in paired units of
the electron rest-mass energy quantum E = 0.511 MeV and a need for
charge parity by a transformation of the C state deuteron form into
the ground-state A form.
Note that a neutral B-state deuteron core without its satellite
beta-plus particle has a net energy of 2E-25E/8 or -9E/8. Therefore
the addition to a group of 8 such deuterons of the mass energy carried
by 9 beta-plus particles will correspond to an event which brings the
energy into balance with that of 16 protons, suggesting that this could
be the process by which deuterons transmute into protons.
The ongoing energy fluctuations in the electron-positron field
will allow the energy of those 8 satellite beta-plus particles to
redeploy into electron-positron pairs in the quantum-electrodynamic
background which sources the 9 beta particles, as the positive charge
transfers to the proton product. On balance only one 0.511MeV unit
E of field energy is needed to simulate the deuteron-proton conversion.
The action described can, therefore, on energy balance criteria,
create 16 protons from those 8 deuterons, but only if there is a net
unit electron rest-mass energy input and a complementary reaction which
can take up the surplus unit of positive charge.
Since the net core deficit energy of the C state deuteron is E less
9E/4 or -10E/8 and that of the A state deuteron is 3E less 35E/8, which
is -11E/8, the transition of 11 C state deuterons to 10 A state
deuterons with the shedding of two protons will occur with no energy
residue. However, in this case the reaction product requires an input of
one unit of positive charge.
It follows that, at least in theory, the state transitions of the
deuteron could, in the normal ongoing QED field activity, give reason
for expecting protons to emerge from natural fission of deuterons but
the statistics of such an event are set by the chance combination of 8
of the B-deuteron states. Then 16 protons will emerge directly from
those B-state deuterons and 2 protons will emerge from the very
frequent C-state to A-state transitions. The event will mean that
protons are created in batches of 18 from these events.
Each deuteron is in the B-state for 1/7th of any period of time.
This yields an event factor giving measure of deuteron population as
(7)8 since 8 deuterons collectively are the target for the primary
reaction.
Combining these results one finds that S1 and N in equation (1) are
2 and 35, respectively. Furthermore, P1 in equation (1) is 18.
Similarly, S2 is 7 and n is 8 in equation (1) with P2 as 16.
The overall ratio of proton to deuteron in the equilibrium state
can then be expressed by the contracted quantity 9(16/7)8, which is 6705
as a proton to deuteron ratio or 1491 deuterons per ten million
protons.
As already stated above, this compares with an experimental
abundance ratio assessment of 1492 per ten million.
The General Parity Criteria
It is important to appreciate, when dealing with problems
involving the background zero-point energy field, that the energy
balance is the primary regulating factor. There can be energy
fluctuations but, so far as the energy locked into the matter form is
concerned, this is conserved in the overall picture of things.
Charge parity and the parity of space occupancy associated with
electron-positron charge forms are less important to individual energy
processes of the kind just described, though these too must be balanced
on a collective less-local basis.
For example, an electron and positron can, together, be seen as
a neutral charge entity and yet two space quanta are involved.
Conversely, two space quanta can be occupied by charge of the same
polarity, meaning that a given even number of space quanta can all
be occupied, and then there can be a net charge out-of-balance.
If one says that 35 normal three-charge protons can transform
into 16 deuterons plus 3 bare single-charge protons, there is a net
charge deficit of 16 units of charge e. However, we are also saying
that the reverse event can occur in which batches of 8 plus 1 deuterons
convert into 18 protons. Both batch processes are occurring together
in the deuteron/proton environment and so, allowing for transient
leptonic (electron-positron) activity in the QED field background (see
section III of APPENDIX E) the charge condition balances overall.
Similarly the space occupancy condition is a self-balancing process
in our stable local field environment.
Should one ask whether a litre of heavy water will be
transmogrified into normal water by the processes suggested above one
must answer affirmatively. The real question is that of knowing the
time scale involved.
Here one can estimate the time rate of these events by noting that
an event time factor of the order of 10-13 seconds characterizes the
single electron transition in the quantum field background. It can
decay at A and be recreated at B as if it jumps from A to B in that
period.
The three-charge proton and state B deuteron decays discussed
above centre on a pairing of two electron-sized charges in each of these
particle forms. The governing frequency of the background field is
that corresponding to a photon of energy equal to the rest mass energy
of the electron. The chance factor for a single electron as target
for an energy fluctuation is about 1 in 107, meaning that there are that
many cycles of that electron Compton frequency in the 10-13 second
period of the electron lifetime.
Therefore, we can estimate that every 10-6 seconds every proton and
B state deuteron will be a candidate for transmutation. For there to
be transmutation, however, the target particles have all to be in the
same state and this is governed, for the proton, by that factor above
of (2)35. This means that, on average, a proton will withstand
participation in the deuteron creation process for a period of (2)35
microseconds, which is about 10 hours.
This period reduces to a few seconds for the converse process by
which deuterons should transmute into protons in water that is nearly
100% deuterium oxide. It is only in the composition of the equilibrium
mixture that the proton transmutation time rate applies for the
reciprocal transmutations. Clearly, therefore, the question arises as
to why heavy water does not convert into normal water on a time scale
measured in minutes.
The answer to this is connected with the problem confronting the
‘cold fusion’ issue. When deuterons transmute into protons in the
recognized way, energy has to be added by gamma radiation and the
products are one proton plus one neutron. ‘Cold fusion’ has posed the
question “Where are the neutrons?”. It would seem that what happens in
the world of very high energy collisions is not the same as events in the
cool conditions of a medium at water temperature.
In the sea the process described above can occur to keep the
equilibrium between the deuterium oxide D2O, hydrogen deuteroxide HDO and
hydrogen oxide H2O. The charge imbalance is there avoided by the
recriprocal transmutation but one must assume charge fluctuations
involving the atomic nuclei in exchanges with the background field.
Possibly this activity has connection with the many reported energy
anomalies found in experiments with water, particularly those involving
electrolytic action.
In high energy physics of deuteron transmutation the charge issue is
avoided by the action we term the ‘neutron’, which this author must
assume is really a proton or antiproton neutralised by an
accompaniment of electron(s) and/or positron(s).
However, we still ask the question “How long will it take before
a kilogram of heavy water converts to a 50% mixture of heavy water
and normal water?” Note that this question is put in terms of weight
because the overall volume of the water would increase as deuterons
change into protons. Furthermore, unless there is neutron emission, there
would be release of hydrogen gas unless oxygen were to be absorbed. The
answer must lie in the understanding of the source of the added positive
charge taken up by the newly created protons. If this source is sluggish
in providing that charge then the transmutation rate will be retarded.
It may be measured in hundreds or thousands of years under normal
environmental conditions or where water is sealed in a container.
Equally, it may be a matter of days only where the heavy water is
absorbed into a palladium host metal carrying electric current.
Accordingly, one must wonder if the charge adjustments applicable
where protons convert into deuterons and vice versa affect adjustments
to the natural equilibrium ratio of protons to deuterons and see how
this affects the ‘cold fusion’ deuteron transmutation process.
This Part I Report will not enter into speculations on the
technological implications of the latter issue. The main point made
in this contribution is that the ratio of protons to deuterons which
occurs naturally is not an arbitrary consequence of disorder in the
evolution of historical events. It is a fundamental physical constant
determined by the same regulating factors which fix constants such as the
proton/electron mass ratio.
Footnote
In the paper which follows as APPENDIX C the deuteron features
as a component of the triton and the decay of the triton is related to
events by which the deuteron is itself affected by the mu-meson
bombardment.
There is a fundamental difference in that action compared with the
situation above. Whereas the beta-particles are really the target
affected by those mu-mesons in the isolated proton and deuteron forms,
when one considers these as part of larger atomic nuclei the decay
action is dominated by mu-meson attack on a different and larger
target which latches onto nucleons belonging to atomic nuclei having
atomic mass number of 3 or more.
Though this may sound complicated, in the limited space available
in this Report, the author has deemed it best to present this Appendix B
and Appendix C as separate self-contained texts and it is hoped that the
reader will be able to follow the logic of the separate presentations
even though study of the author’s other published work will be needed to
fully comprehend the distinction.
The threshold between 2 and 3 nucleons has a dynamic ‘gravity’
balance connection with the ‘graviton’ mass developed in Fig. 7 as
shown in APPENDIX A. The ‘larger target’ involved in proton
creation, one larger than the electron or beta-particle, by 1843 in
volume, is explained on page 40 of APPENDIX C and more fully on the
second page of APPENDIX E. The relevance of the latter to the
deuteron as a component of the triton is that it brings about the
actual creation of a proton within the triton as a deuteron-proton
composition. It is shown on pp. 42-43 that the mu-meson bombardment of
that space lattice charge ‘target’ triggers the transient creation of
a proton, on average, every 12.2 years. If this event occurs in the 3-or-more-nucleon core, so that may well involve a proton transfer and
a nuclear transmutation. This is an action quite distinct from that
described above where it was assumed that the two beta-particles in the
proton or the B-state core deuteron were the ‘target’ for mu-meson
attack.
[The following paper was presented at a conference held by
ANPA, the Alternative Natural Philosophy Association, in
Cambridge, England during 9-12 September 1993. Though the
title refers to the ‘model proton’ the main thrust of this
paper concerns the triton and theoretical derivation of its
lifetime.]
The proton, as the primary form of matter, is at the creative
equilibrium interface between matter and vacuum energy. Just as there
is electron-positron pair creation and annihilation activity in the
vacuum field, so there may be an underlying ‘heavy’ lepton (muon)
activity in the universal field environment. This paper explores the
relationship between the muon and the proton on the simple assumption
that Nature is constantly trying to create protons but is normally
restrained by energy equilibrium criteria.
The author’s theoretical model is of long standing record, as
outlined in Physics Today, November 1984, p. 15, and as acknowledged
for its remarkable ‘classically-derived’ prediction of the proton-electron mass ratio in the paper reporting its measurement by Van Dyck
et al, International Journal of Mass Spectrometry and Ion Processes,
66 (1985) 327-337.
The advance reported in this ANPA-15 paper concerns recent
developments of this model which focus upon aspects of the deuteron and
the triton. In particular, the model will be tested by deriving
theoretically the 12 year lifetime of tritium on the assumption that it
decays owing to interaction with that same heavy lepton field
environment that creates the proton. This approach then affords insight
into the exposure of the deuteron to that heavy lepton field activity.
The quantitative aspects of the energy transactions involved are too
remarkable to be attributed to coincidence.
The advantage to humanity which such research affords is linked to
the prospect of success now emerging from research on cold fusion,
inasmuch as the theoretical processes envisaged explain why no neutrons
result from what is deemed to be deuteron fusion. The consequences
concern an alternative natural philosophy having bearing upon the
forces of creation in the universe and are important in that by
theorizing about the derivation of the proton mass in relation to the
electron there is spin-off which can cause physicists to revise their views
on nuclear theory.
1. The Triton in Focus
Tritium is the third isotope of hydrogen. It is radioactive but
decays by releasing a minute amount of energy – about one thirtieth of
what is needed to create an electron. Its nucleus, triton, is an enigma
in physics. A portion of the energy it releases somehow vanishes without
trace and this phenomenon has been the basis of the neutrino hypothesis.
The fusion of hydrogen in the sun is believed to be the source of energy
which powers our existence on Earth, but the supposed related neutrino
emission from the sun is itself a problem. There is just not enough
solar neutrino energy intercepted by our Earth to balance the energy
books representing the solar hydrogen fusion hypothesis.
It is submitted that the triton is the guardian of the secrets which
govern our understanding of the cold fusion process encountered when
deuterium is loaded into a cathode in a Fleischmann-Pons experimental
cell.
The triton has a lifetime of 12 years. That is a very important
clue and it has caused this author to focus on the assumption that the
triton incorporates a ground-state deuteron, which is the seat of the
decay action. This means that the deuteron itself is subject to
radioactive decay processes but, as will be shown, this decay action
involves a proton creation followed by proton decay. What may then
emerge as a cold fusion product is a tritium nucleus or the
reestablishment of the deuteron in its orginal form. In other words, the
deuteron appears stable, but it can develop into a triton by a
natural lifetime process, albeit with very much higher probability if
another deuteron in close proximity is available to sacrifice a proton.
This proposal is not hypothetical. It is based on a theme
developed in the author’s earlier work, published long before the
Fleischmann-Pons cold fusion discovery was announced. See, for
example, the American Institute of Physics journal ‘Physics Today’, 37,
p. 15 (1984).
There the author drew attention to the P and Q scenario where a
proton of energy P was attracted to an oppositely charged partner of
energy Q. If each has a charge e bounded by a sphere of radius a
determined by the J. J. Thomson formula (E = 2e2/3a), the total energy
of the P and Q charge in surface contact is:
For the binding energy term to be a maximum, P and Q must have
a certain relationship. This is when 1+Q/P is the square root of 3/2.
The reader may then verify that with P as 1836 the value of Q is 413,
which is the combined energy of a pair of mu-mesons in electron units.
Resulting from this discovery the author has advanced elsewhere a theory
of proton creation which explains how protons are built from the
virtual muonic energy activity in the vacuum field. Note here that
electron-positron creation and annihilation are ongoing activities in the
vacuum field, the basis of quantum electrodynamics, and the mu-mesons
are the ‘heavy electrons’ which hitherto have been seen in physics as having
no role or function that could justify their existence in Nature. Their
role is, of course, the most important of all, that of matter
creation in the form of protons!
Now, we are, in the description which follows, to see how this same
process of proton creation is at work within a deuteron or a triton.
The algorithm which the reader may keep in mind in the analysis which
follows is the curious mathematical fact that 4Q, meaning four mu-meson pairs, if combined with the energy released by creating two (P:Q)
systems from two bare P components, will be exactly that needed to
create a new proton or antiproton P.
To prove this write:
Then rearrange algebraically as:
or:
which is the above relationship between P and Q as calculated from
minimization of energy potential.
It follows, therefore, that if a particle containing two P
nucleons is bombarded by the mu-meson vacuum energy background there
is a condition where 8 mu-mesons will create a third P. This is
tantamount to a fusion process occurring at room temperature which
adds a nucleon to a deuteron.
Note that the energy is ‘borrowed’ partially from the vacuum as
a vacuum energy fluctuation and partly provided by the degeneration
of two nucleons in creating the two Q dimuon components. The system
will ‘restore’ by causing a proton elsewhere, as in a nearby deuteron,
to decay, but for a transient period there will be a very active energy
situation which can give basis for much that is observed in cold fusion
phenomena.
The remainder of this paper will develop the above theme by
reference to the triton, and the verifying key which confirms what is said
above is the resulting calculation of the 12 year mean lifetime for the
transmutation just mentioned. This gives insight into the energy
generation rate that can be expected in the cold fusion deuteron
reaction. A deuteron will experience the mu-meson transmutation
described on an average that is set by the triton 12 year lifetime. Since
the deuteron is in the required ground state condition 2 parts in 7 of any
period of time probable deuteron transmutation lifetime by this
process is 42 years. However, one cannot exclude secondary nuclear
reactions triggered by the excess energy transients of the above process. [Note: the 2 part in 7 factor is derived in the author’s paper The Theoretical Nature of the Neutron and the Deuteron, Hadronic Journal, 9 129-136 (1986). APPENDIX E of this Energy Science Report.]
Note that the deuteron ground state is one in which the deuteron
structure has two antiprotons sitting amongst three beta-plus
particles, represented by (e+😛–:e+😛–:e+), and the process we are to
consider is one where attack by 8 mu-mesons causes the outer beta-plus
particles to become dimuon Q charges as a newly created P charge is
nucleated from a nearby vacuum lattice charge. The latter will be
understood from the following detailed description.
The Constant Vacuum
In the Winter 1992 issue of 21st Century one reads of an interview
with Martin Fleischmann and his Italian theoretician colleague Giuliano
Perparata on the eve of the Third Annual Cold Fusion Conference.
This was an interview which revealed that we could expect a
backlash from the criticism levied at the pioneer work on cold fusion.
It has aroused retaliation which will take the form of an attack on the
weaknesses of much that has become accepted in theoretical physics. The
following two quotations from that interview will serve to set the
scene for the subject developed in this paper:
‘There is something seriously adrift with modern theory.
There is a lot of work to be done, lots more to be
discovered.’‘Preparata pointed to the hyperfine structure constant,
alpha, which relates the electrostatic and electro-magnetic
fields and is crucial in physics. “I often ask myself,” he
said, not really joking, “What if the fine structure
constant were like the Dow-Jones index and constantly
shifted up and down? Then there could be no science and no
rationality …. If it were not for constants such as the
fine structure constant and the speed of light, then our
universe would not exist.’
Here then is a statement that should cause physicists to wonder and
reason as to why the textbooks of science do not discuss the way in which Nature determines that fine structure constant and thereby is able to
build our universe. The derivation of the value 137.0359 which is α-1, where α
is 2πe2/hc, e being the electron electrostatic charge, h Planck’s constant
and c the speed of light, is crucial to everything that is fundamental
in physics. Next, in order of fundamental importance, there is the
understanding which can come from the theoretical derivation of β, the
proton-electron mass ratio, as 1836.152.
In a 1985 book entitled ‘The Fundamental Physical Constants and
the Frontier of Measurement’ published under the auspices of the
Institute of Physics in U.K. B. W. Petley of the National Physical
Laboratory describes the theoretical attempts to derive these
dimensionless constants and states at page 161:
‘No doubt the theoretical attempts to calculate and
will continue – possibly with a Nobel prize winning
success.’
Now, the reader may wonder how this concerns the triton and cold
fusion. Well, perhaps Martin Fleischmann and Giuliano Preparata are
unaware of the connection via this author’s work, but its very essence
is a vacuum medium that bombards us with action and is a seat of events
that trigger photon creation, thereby determining , and proton creation
which determines . The Physics Letters, 41A, pp. 423-424 derivation of
was published in 1972 and the theoretical derivation of was published
by the Italian Institute of Physics under the title: ‘Calculation of
the Proton Mass in a Lattice Model for the Aether’, in Il Nuovo
Cimento, 30A, pp. 235-238 (1975).
The first paper derived in terms of a resonance in a fluid
crystal structure of the vacuum and the analysis involved knowledge
of the lattice cell dimensions. The underlying research had already at
that time solved the problem of gravitation and revealed that a
virtual pair of mu-mesons had association with each cell and were the
building blocks for hadronic matter including protons. Of particular
relevance to the calculation of the proton-electron mass ratio in
free space is the way in which, as a rare occasion governed by
statistical chance, nine mu-mesons come together at the seat of a
vacuum lattice charge to create a proton.
Here then is Nature’s arsenal by which it can act, even from within
our bodies, to bombard matter with mu-mesons. These are energy quanta
which act in concert to strike the body blow which converts a tritium
atom into helium 3 and a deuterium atom into tritium, in the process
creating a new nucleon in an act seen as fusion but by promoting the
decay of one elsewhere. Indeed, we confront a scenario where Nature is
constantly trying to create protons throughout space but it only
succeeds where the energy equilibrium as between the sub-quantum vacuum
underworld and matter has become unbalanced. Generally speaking, if
a new proton is created an old one somewhere nearby must decay.
Therefore, if the nuclear chemistry suggests that an intruder proton
moves to fuse with the deuteron so creating a tritium nucleus, the real
event is probably one where the mu-meson attack on the deuteron has
caused a proton to appear as a nucleon whereupon the energy equilibrium
bookkeeper has ‘ordered’ the demise of that intruder proton.
This may seem fantasy speculation, but the reader should be
mindful of the power of the author’s published research by which those
and constants were derived. The calculations matched the part-per-million precision of the measured values and were in exact accord.
We can, therefore, proceed to study the triton with confidence and
our objective, as with corresponding published work on the neutron, for
example, is no less than the aim to confirm the theory by simultaneously
deriving values for the magnetic moment, the mass and the lifetime of
the triton.
The reader can share in the author’s pleasure of discovery by
working through this exercise, because the triton, rather curiously, lends
itself to straightforward analysis.
It is necessary to engage in some preamble to explain the factors
involved but to keep the focus on the objective the argument will
advance directly to the calculation of these three values and the
reader is asked to keep in mind that the ultimate objective is the
calculation of the triton lifetime. The deuteron component of the
triton stands as the target and so much of what is discussed is addressed
at the deuteron transmutation as if it has the same lifetime in its
ground state.
The Triton’s Vital Statistics
The triton has a structure supporting three units of nucleon mass
presenting an overall unit of positive charge e. Its mass is slightly
less than that of three protons. Indeed, we should begin by working out
precisely how much the measured mass differs from that of three protons
as that provides the value we need to compare with the one derived
theoretically.
We will work in terms of mass expressed in terms of electron rest
mass as a number ratio.
The author’s data reference is the 2nd Edition of the McGraw-Hill,
Condon and Odishaw Handbook of Physics (page 9.65).
Atomic mass of proton plus electron: ……… 1.00782519
Atomic mass of triton plus electron: ……….. 3.01604971
Unit atomic mass in electron units: …………. 1822.888
This latter value was found by dividing the first atomic mass
into 1837.152…, which is the proton mass incremented by one electron
unit.
If we now multiply the first-listed atomic mass by 3 and
subtract the second-listed atomic mass, the result is 0.007426 and
multiplication by the unit atomic mass in electron units gives 13.54.
This, therefore, is the measured mass difference as between 3 protons plus
two electrons and the triton.
It follows that the triton has a mass that is 11.54 electron mass
units below the combined mass of three protons. Our task is to find the
model form of the triton which allows us to calculate this mass
discrepancy.
The other items of data we need to extract from the same data
source (page 9.93) is (a) the triton lifetime of 12 years, (b) the half-spin unit of angular momentum (presumed to be same as the proton) and
(c) the magnetic moment stated in nuclear magnetons to be 2.9789.
It is, however, better for us to avoid reliance on data that is
based on indirect measurement and take note of the direct measure of the
triton nuclear magnetic moment presented as a ratio in terms of the
proton magnetic moment effective in the same reacting environment. This
ratio, as quoted from the Dover 1966 text of ‘Atomic Physics’ by
Harnwell & Stevens, is:
The task ahead is then to guide the reader through the analysis by
which the three measured numerical dimensionless values just presented as
the triton’s credentials are duly derived by pure theory.
The Magnetic Moment of the Triton
It is appropriate here to refer to the author’s paper entitled ‘The
Theory of the Proton Constants’, Hadronic Journal, 11, pp. 169-176,
1988.
On page 174 of this paper the gyromagnetic ratio of the proton
is deduced theoretically as being 2.792847367, which compares with the
measured value of 2.792847386(63) and so is quite precise, it being
computed from a proton modelled on a structured resonant state.
This, in effect, is the proton’s own magnetic moment expressed in
terms of nuclear magnetons and so one can see that the 2.9789 triton
magnetic moment above is derived from the measure 1.06666 and the
independent measure of the proton’s gyromagnetic properties.
Now, when we have regard to the fact that the triton’s magnetic
moment is measured as a frequency ratio as between the reaction of a
triton and a proton in the same magnetic field, there is the curious
feature that the two frequencies have what appears to be a perfect
integer ratio, namely 16:15, which is the near-unity ratio factor
1.06666.
This causes one to wonder whether the interfering wave modulation
which would develop harmonic interactions somehow locks the response of
the triton onto a condition that is exactly set by this 16/15 ratio,
even though the true triton magnetic moment with no proton reaction
present is virtually that of three nuclear magnetons.
With this doubt, there is little purpose in trying to derive the
precise quantity 2.9789 and it suffices for our purposes to justify, if
only as an approximation, the triton magnetic moment as being 3
nuclear magnetons.
The interesting point to then take into account is that amongst
all atomic nuclei the triton is unique as having by far the largest
magnetic moment in relation to its nuclear angular momentum. The
ratio is 6:1, whereas Ag108, which sits between the two stable isotopes of
silver, has a half-life of 2.4 minutes and comes closest with an
exceptionally high ratio factor of magnetic moment to angular
momentum of 4.2.
What is it, therefore, that gives the triton the magnetic moment
of 3 nuclear magnetons based on a single half-spin unit of angular
momentum?
The simple answer which is now suggested is that the triton comprises
three nucleons two of which are protons and one of which is an
antiproton. They all react magnetically in opposition to a magnetic
field and so the two protons ‘spin’ one way and the antiproton spins the
opposite way. The magnetic moments add to 3 units and the ‘spins’ add
to a single half-spin unit of angular momentum.
This then explains the magnetic moment property and, further, we
have now an insight into the structure of the triton.
The Structure of the Triton
Once the structure of the triton has been pictured in our minds then
we can proceed with the confirming analysis by calculating the triton’s
mass discrepancy and its lifetime.
The interesting feature seen already is that we have not pictured
the triton as comprising one proton plus two neutrons. Keep in mind the
no-neutron syndrome of cold fusion! Three protons will not hold
together even in a quasi-stable aggregation. This is why physicists have
taken the easy course and assumed that it consists on two neutrons plus
one proton with some kind of glue that introduces a negative mass
binding energy.
Such assumption has led them down a blind alley. We need to add
something such as beta-minus or beta-plus particles or be bold enough
to imagine a stable entity including antiprotons. The truth can only
be found by discovering the structure which gives the right answers for
the three measured parameters presented above.
Discovery in this pursuit needs inspiration and intuitive analysis
and it is here that the author must lead the reader directly to the
solution and then show how the calculated properties prove that it has
to be the correct structure of the triton.
The triton does, in fact, comprise two protons plus one
antiproton, and our only concern now is to understand the ‘binding’
that holds the three nucleons together but keep the proton and
antiproton far enough apart so that they do not fuse and mutually
annihilate one another.
Now, here we are guided by the fact that independent analysis of
the nature of the deuteron has shown that in its prevalent state it
comprises two protons bound together by an intermediate beta-minus
particle, otherwise termed a positron. This is fully explained in the
previous reference, the author’s paper ‘The Theoretical Nature
of the Neutron and the Deuteron’, Hadronic Journal, 9, pp. 129-136
(1986). The less prevalent ground state comprises an in-line
configuration of three positive beta particles separated by two
antiprotons.
We may be further guided by earlier work reported by the author in
his book ‘Physics without Einstein’, published in 1969 by the author under
the trade name Sabberton Publications.
On pages 147-152 of that work there is a description of nuclear bonds,
which the author termed chains, which took the form of an alternating
sequence of beta-plus and beta-minus particles and which linked adjacent
hole-cum-charge sites in the vacuum lattice which locked onto the atomic
nucleus and caused it to form a shell structure. Indeed, this theme was
further elaborated in the author’s paper entitled ‘The Chain Structure
of the Nucleus’, published in 1974, also by same publisher.
The data there presented show that a charged meson can attach
itself to a charged nucleon to release sufficient energy to account
for its own mass-energy and further the total energy of a chain spanning
between two vacuum lattice hole-cum-charge sites. Furthermore, there
is a balance of mass-energy or mass deficit which one calculates as
being some 12 electron mass units.
In these circumstances, and having regard to the fact that we are
trying to account for a triton mass deficit of 11.54 electron units,
the author sees no point in going further than the assertion that the
triton has a single beta particle chain linking the antiproton and the
proton pair, the latter regarded as being seated at an adjacent
lattice site in the vacuum lattice system.
The beta particle chains are deemed to be very much a part of the
structure of large atomic nuclei. Each chain has up to 170 such
particles corresponding to the fact that the vacuum lattice spacing
is 108 times the beta particle radius. There are two of the author’s
papers of easy reference as background to this subject. They are: ‘Aether Theory and the Fine Structure
Constant, Physics Letters, 41A, pp. 423-424, (1972) and ‘Theoretical
Evaluation of the Fine Structure Constant’, Physics Letters, 110A,
pp. 113-115 (1985).
As will be seen from those papers there is a factor 1843 derived
from a resonance closest to a zero potential condition and representing
the volume of a vacuum lattice charge in relation to a beta
particle. Indeed, the derived value of the fine structure constant was
given in the form:
The fact that the space occupied by the vacuum lattice charge
can, given enough energy input, develop into 1843 beta particles from
which a proton form can condense is crucial to the creation of the
nuclear chains, but the action of creation of a proton depends
primarily upon the mu-mesons that do the work.
The concept of space conservation in charge particle
transmutations is consistent with energy conservation, bearing mind that
the pressure or energy density within the charge of the vacuum lattice
particle is in equilibrium with the ‘gas-type’ pressure set up by the mu-meson pairs that, on average, populate each cubic lattice cell of side
dimension 108 beta-particle radii. Thus the number of beta particle
charge volumes that equals this cube volume is a measure of a factor
N which is relevant to the inverse chance of a ‘hit’ as the annihilation
and random position recreation of a mu-meson recycles at the standard
(Compton electron) frequency associated with vacuum energy charge pair
creation activity.
To evaluate some numbers, note that the lattice charge has a
Thomson radius that is larger than the beta particle charge radius by
a factor 12.26, which is the cube root of 1843. The energy of the
lattice charge is therefore 1/(12.26) or 0.08156 electron units. The
number of electron charge volumes in the unit cubic cell of the
vacuum is (108)3 divided by 4/3 and so is 9,324,644. Dividing this by
1843 we find that there are 5059.49 lattice charge volumes of energy
0.08156 electron units in each cubic cell of the vacuum, which is
412.666 electron mass units of energy. This is double a mass energy a
little below 207, thereby representing the combined mass energy of a
virtual mu-meson pair that is the energy in each cell.
The fundamental derivation of the 108 cell dimension parameter
and the 1843 factor, the subject of the author’s primary analysis of
vacuum energy discussed in the above-referenced 1972 Physics Letters
paper, therefore leads to the theoretical derivation of the mu-meson
energy quantum. It tells us the energy content of the vacuum state.
The triton, when created, lives amongst this activity and its
rather special structure makes it vulnerable to decay owing to the
bombardment by those mu-mesons. The core target for that bombardment
is not the antiproton or the two proton nucleons in its composition.
The target is the vacuum lattice charge to which the triton is attached.
The deuteron, however, is also subject to such attack and here, too, the
real target is a lattice particle in its near vicinity.
An isolated proton or a deuteron does not need to develop a
fixed association with a lattice charge because its mass has not exceeded
a critical level above which the dynamic quantum ‘Zitterbewegung’
behaviour needs a collective balance by a graviton system. The
phenomenon of gravitation is dependent upon the inertial reaction of
vacuum particles in the form of gravitons which have a mass-energy of
2.587 GeV, an energy value having an effective mass between two and
three proton masses. This is fully explained in the author’s works. See,
for example, ‘The Theory of the Gravitation Constant’, Physics Essays,
2, pp. 360-367 (1989).
However, when the proton or deuteron is part of a water molecule
the nuclear chain structure of the oxygen atoms will provide the
lattice location in the vacuum field system. This is why the cold
fusion events we see with free deuterons in a palladium host metal are
not, so far as we can judge, occurring in water.
When atomic nuclei exceed the mass of two protons they do, of
necessity, share in a collective action requiring dynamic balance by a
multiple graviton system and that action requires that their
combination as a structured nuclear entity spreads itself over a
multiplicity of vacuum lattice sites. The triton, therefore, has to
have a nuclear beta particle chain able to bridge two lattice sites
and it probably has two protons in close proximity that straddle the
lattice charge of one site whereas the antiproton nucleon constituent
is seated at the other lattice charge site. Tritium is, of course,
radioactive whether in the molecular stucture of water or not and so
it warrants respect and caution from a health viewpoint.
The Triton Lifetime
This structure already discussed now leads us to the calculation
of the decay property of the triton. To proceed we restate part of
the commentary in the introduction.
In order to set up the nuclear bond in the form of a chain of
beta particles a meson charge has to develop as a charge attracted to
the proton. This meson charge is termed a Q charge and its energy is that
of the unit cell energy, approximately 413 electrons as already
explained. Two opposite polarity charges e, having energy E in
electron units represented by P and Q and conforming with the J. J.
Thomson formula:
where a is charge radius, will, when attracted so as to be in surface
contact at their charge radii, have a combined energy E’ which is given
by:
This formula is basic to proton creation and was mentioned by the
author in Physics Today, 37, p. 15 (1984), so we are not introducing
something new at this stage in developing the theory of the triton.
In fact P and Q are in equilibrium as an optimum energy condition
for which the negative term is a maximum when P is 1836 and Q is 413.
The point of interest is that E’ can be calculated to be 92.7
electron mass units below the value of P.
In other words, given that there are two protons well separated
by the diameter of the vacuum lattice charge (or a beta particle in the
case of a deuteron), we can see how such a system, which features in the
triton composition, can deploy twice the energy of 92.7 electron mass
units to assist in a nuclear transmutation. This sums to 185.4
electron mass units.
We then note that the stimulus of 4 pairs of virtual mu-mesons,
each of 412.7 electron mass units will suffice with the 185.4 electron
mass units to create a proton of 1836 electron mass units. In fact,
the energy equation is rigorous in providing exactly the amount of
energy needed, which is why the decay of a triton yields so little energy
that the result has remained a puzzle to scientists.
The scenario of interest is then the action by which the triton can
be the seat of a process by which a proton is created within the triton
itself so as to force a transmutation.
The condition we are considering is a coincidence event when 8 mu-mesons hit the lattice charge in the same vacuum cycle. If the result
is the creation of a proton then the recovery of the equilibrium of the
vacuum/matter interaction will involve the demise of a proton in
matter nearby.
The task in determining triton lifetime is simply that of determining
proton creation probability in a vacuum lattice site charge within
matter.
Proton Creation Probability
As already shown, it takes 8 virtual muons to trigger the action
leading to the creation of a proton. The question is how to bring 8
muons together for this purpose. There is an active virtual muon pair
in each cell of the vacuum medium, that is for each lattice charge (-e), the latter being neutralized, so far as we can sense in our matter
frame, by a positive continuum background.
If the positive virtual muon μ+ enters the lattice charge it will
momentarily, in the relevant action cycle, render that charge neutral
by converting it to some neutral paired charge form. Therefore, to
get 8 muon energy quanta to combine in some way, we need to have 8
lattice charges in close proximity in a state in which either all are
transiently neutral or, alternatively, 7 are neutral and one is
charged to a double unit level, as by being transiently primed by the
addition of μ–.
Now, the chances of one lattice charge being primed by either muon
in its cell are 2 in 5059. There are 256 combinations of chance
simultaneous priming of 8 such lattice charges in each action cycle.
The follwing tabulation shows the virtual muon polarity combinations as distributed
amongst the various mixed states.
Only the first two entries under S in this table represent states that can
satisfy the merger requirements by creating neutral energy quanta with
a single nucleating charge. Thus there are 9 chances in the 256 for the
conditions to meet the proton creation trigger requirement. In other
words, in every action cycle at the Compton electron frequency we have
9 chances in (5059)8 of proton creation referenced on a particular
lattice charge.
1 … 8 … 0
8 … 7 … 1
28 .. 6 … 2
56 .. 5 … 3
70 .. 4 … 4
56 .. 3 … 5
28 .. 2 … 6
8 … 1 … 7
1 … 0 … 8
This gives us a ‘lifetime’ in the sense that the attempt to create
a proton can influence a decay process which sheds a proton, as already
explained.
That lifetime is:
The mean lifetime reported for the triton is 12 years and so this
result is a quite remarkable application of the author’s theory.
Discussion
Given the above solution to the mysteries of triton decay, it needs
little imagination to probe the possibility that a deuteron, in its
prevalent state, as two protons sitting on diametrically opposed sides
of a central beta-minus particle, could become subject to the
stability of a nearby vacuum lattice charge and experience similar
proton infusion. In this case, the deuteron would become a triton,
whereas in the triton the proton infusion into the two-proton component
destroys the beta particle nuclear chain and severs the link with the
antiproton component, which thereby becomes involved in a decay which
replenishes the virtual mu-meson population of the vacuum.
The deuteron proton infusion process would be accompanied by the
demise of a proton elsewhere, but what we would see with two deuterons
in close proximity would appear to be one deuteron shedding a proton
and a beta minus particle and the other deuteron acquiring a proton and
shedding a beta plus particle, which overall amounts to an act of
fusion. Two deuterons merge to create a proton and a triton by
shedding energy as the two beta particles annihilate one another.
To account for the nucleation of the Q charge forms the less
prevalent deuteron ground state composition having five component
charges is the best basis for the transmutation under discussion. The
central beta particle binds the two proton forms whilst the outer beta
particles transform into Q charges to release the extra energy needed
to convert the 8 mu-mesons entering the lattice charge target into a
proton.
One can develop this theme by investigating the expected excess heat
generation rate that could come from the 12 year decay rate for the
deuteron ground state and one may further wonder how that process might
be accelerated.
However, the main conclusion reached in this work is that there is
basis for understanding the cold fusion reaction and the focal issue here
is the interpretation of the process by which the triton is naturally
radioactive at room temperatures. It is believed that the account
presented here will help with that understanding.











