What is going on with
EMR.
Michael Anderson. Bsc
(Chem Eng)Cape Town. AMP Harvard.
As an amateur physicist I make no claim to be a great
mathematician or have access to enormous facilities, but I do have a long and
consuming interest in particle Physics. I have studied this subject from many
angles with an accent more on the “how” than the “what”. This study has led me
to answer some of my own questions and some of those answers, I believe, are
unique and revealing. In this paper I try to explain my thoughts and give you,
the reader, I hope some serious food for thought and perhaps encouragement to
use these ideas in some further research.
I began my journey of exploration when I tried to understand
the “how” of Einstein’s famous E=mc2 equation. It was clear to me
that this meant that matter and energy are precisely the same thing, that no
matter can exist unless it is structured out of particles of energy. As simple
as this fact is, it is hard to accept but accept it we must. It means that
energy and mass are two forms of the same thing. Taken another way, perhaps we
should say of elementary particles that they are indivisible particles of
energy which appear and act as matter with the property of mass.
To begin to understand the implications of this concept we
need to begin with the simplest and purest form of energy, Electromagnetic Radiation
or EMR.
However, there is a problem with EMR. We know from work by
Einstein and others it has both “wave” and “particle” characteristics. The
exact mechanism of the transmission of these waves is not fully understood but
the evidence that they are “quantized” is irrefutable. The individual quanta do
not appear to be linked to each other as many lab experiments with very low
intensity radiation have demonstrated the reception of individual quanta of
energy as have observations of distant astronomic objects arriving on occasions
spaced apart by seconds or even longer. They have also shown irrefutably that
those quanta of energy are of a unique magnitude linked specifically to the
frequency of the wave with the energy growing larger as the frequency is
higher.
That is what happens, my question is “how”.
The only variables affecting
energy in this picture are frequency and the electric field, and the
only variable in the latter can be the density (or size) of charge in that
field, so we have to conclude that it is that density which is the driver which
causes the frequency to rise, and must also be the driver for increasing the
energy. In other words, if the density (or size) of charge in the electric
field density grows, the frequency grows and the energy grows.
Because we really don’t know what a “charge” is, it is not
possible to determine the size or number of individual charges that make up the
“density” of the electric field that oscillates, and we certainly don’t know
how many charges of what size makes up the total charge of a single quantum. However,
if we want to really understand what is going on we need to bring it all down
to that individual quantum where it must mean that it is the oscillation of a
single charge or small group of charges that equal the size of that charge and
the resulting magnetic effects that oscillation must cause to sustain the
quantum on its travels.
To further understand this question, lets look at the point
we know that energy and matter are equivalent, the “creation” of an electron
positron pair. In our natural world the simplest form of matter is an electron
and it’s charge mate a positron. We know that these particles can also act as
waves and indeed can experimentally be shown to be able to switch backwards and
forwards between the two forms. High energy gamma waves under the right circumstances
spark off an electron positron pair and if these entities recollide they
disappear again and release gamma rays of equal total energy. This fact is a
clear confirmation of the equivalence of the two forms of energy.
To look in some more detail at the process of conversion of
high energy gamma rays into electron positron pair we find there is nothing new
in this information, it is available from many sources. Gamma rays are high
frequency high energy electromagnetic radiation (EMR). Clearly to produce a
pair of particles, the energy of the gamma rays must be greater than the sum of
the energies of the two particles. We know the rest energy of each of an
electron and a positron is 0.511 MeV so the energy of the Gamma rays must be greater
than 1.022 MeV from which we can deduce will have an frequency
of greater than 2.47x1020Hz. If such a ray were
to pass close to a nucleus a pair of particles a positron and an electron are
sparked off. If the two were to subsequently collide they would reverse the
process and produce two identical gamma rays of total energy equal to 1.022 MeV
confirming that the energy of the gamma ray has indeed been converted into
these two particles of matter and converted back again into the originating
gamma radiation, but of necessity, each half the energy and frequency.
In the previous paragraph I used the word Converted. Perhaps
if we used the word Transformed it would make it more clear that the two
particles are still quanta of energy, now in the form of matter with the
property of mass. In EMR it is clearly energy, in Matter it still in energy in
the form of matter. Taking this view, it makes nonsense of the controversy as
to whether a photon has mass. The word “photon” is simply an easy way of
describing a “quantum of EMR” and as such it is energy which is at the same
time mass in alternative form.
It Is interesting to note that the transformation described
above is always precisely into a positron and an electron, it is never either
two positrons or two electrons or indeed any other elementary “particle”. The
other interesting fact is that the two appear together not one after another. In
fact, the conversion must be instantaneous, so if the quantum contained a multitude
of charges that all swung back and forth in unison from positive to negative, then
at the instant of conversion all the charges in the quantum must be one or the
other and the production of both a particle with a positive charge and one with
a negative charge would not be possible: it would have to be one or the other! This
must mean that the positive side of the EMR wave must exist concurrently with
the negative side meaning that EMR actually hac a poositive wave coexisting and in phase with a negative wave.
This new model allows the charges to be always in balance, an equal number of positive charges as there are negative charges. As stated earlier, we don’t know if the charge of a quantum of EMR is a single point charge or a group of lesser charges that total to the magnitude of charge required, but logic would suggest that it is probably the former. Consider sunlight for example, it is made up of radiation of all frequencies and energies from low energy infra red through visible light to the ultra violet range and beyond, and yet individual quanta applicable toeach and all those energies and frequencies coexist without interference. If the quanta were to be created by multiple charges as opposed to a single point charge, it would be impossible to separate one quantum from another in the stream. This strongly suggests that the actual mechanism is that each quantum of each individual frequency of the EMR is indeed a single matching pair of a positive and negative charge which remain linked. Indeed it may be that that is the reason for the quantization of EMR. Each point charge pair defines a quantum.
To further justify the model of a quantum of EMR, consider
this. Imagine the bunch of charges in the quantum as a single pair of positive and negative charges. As the
quantum of energy passes a single point in space this pair emerges driven apart
by the energy of the wave. Assuming they start off at a fixed velocity, they
would be attracted back together by the attractive force of their positive and
negative nature and clearly, the bigger those charges were the greater the attraction
and the swifter they would again meet, causing the higher frequency.
Exactly what happens
in the process is still not at all clear but the net effect is that if the
energy and frequency (and by deduction, charge) of a quantum of EMR is greater
than the level of 1.022MeV then certain circumstances can cause the spinning
off of the negative half of the electric field to form the electron while the
spinning off of the positive half forms the positron.
The conclusion I make from all this is that every EMR energy
wave has three significant variables namely energy, frequency, and charge and
these three variables are related and unique to each combination.
An equally important conclusion is that the relationship in
the EMR “wave” which is related to the
spawned “particles” is the same, that is the energy, frequency and charge of
the wave and particle from which it spawned are identical. If that unique
relationship is not present in a particle, one must conclude that the particle
is not elementary and must be a combination of particles that do meet that
criteria, because, very simply, there is no way they can form unless they do.
In the case of EMR it is not easy to determine the exact
value of the charge of a quantum but we have a secret weapon. It is the very
same above described conversion of EMR into a electron pair because we do know
the exact charge of an electron and the energy of that particle and by
interpretation the frequency of the wave of which it is a part. We just need to
understand how to use this information.
So, neither EMR nor an elementary particle can have any other property than frequency and charge which can affect its energy, and therefore it’s mass. In other words, if a wave has frequency omega, energy E, and charge q, then it can be described by the following expression: E is increased as the frequency increases because q increases. (Note There is some math here which Blogger did not reproduce so I had to take it out. Also the figures I prepared did not reproduce. I am trying to sort this out.)
To determine the nature of those functions we go first the famous Feynman equation2 which finds that the energy of an electron is given by a function which squares the charge.
In my own work I derived an expression of similar form but with different constants3, but it too related the energy E to the square of q. We also know that the relationship between E and omegaE is given by Planck’s equation4 as E=h.frequency.
The sequence of math leads to an expression which raiys that the raio of energies in EMR is equal to the ratios of the sqare roots of charge
Because of the equivalence of energy and
mass, this expression is valid for EMR and for elementary particles of matter.
From this expression it is easy to see
that the charge in a quantum is not doubled when the energy is twice as great,
reinforcing the suggestion that the magnitude of charge is simply a
manifestation of the total energy of the quantum and cannot be defined by
addition of a number of smaller charges. Indeed, it suggests that charge
itself is a property of a unique quantum of energy.
Another key conclusion this expression
leads to is that it is impossible to differentiate between the energy related
to a positive charge and that related to a negative charge, which while
unsurprising in a mathematical context but may be critical in understanding the
structure of matter. The energy and mass in a positron is in every way
identical to the energy and mass in an electron albeit their opposite charges.
So a positron is not Anti-matter,
it is simply matter transformed from the energy of a positive charge as an
electron is matter transformed from the energy of a negative charge. And
perhaps this is why we don’t know where all the anti-matter in the universe is,
because it is hiding in common sight in all matter, and we cannot tell which is
which. Perhaps we need to understand how negative charged matter particles can
coexist with positive charged matter particles to find the answer, and perhaps
the neutrino is that solution.
References
1. From the Big Bang to Quarks – Have we lost our way.
Michael Anderon Vantage Press, 1996.
2. Feynman Lectures. https://www.feynmanlectures.caltech.edu/II_28.html
3. Planck’s law https://en.wikipedia.org/wiki/Planck%27s_law