A new form of radiation pressure from waves.
Construct a model of the pressure of radiatio based purely on waves that will permit us to discover a novel mechanism for the most elementary interaction between radiation and matter.
Set up the conditions for the most elementary ideal experiment possible by positing an electron-wave source at rest isolated in space in the absence of fields and other significant wave entities.
- Its spherical waves propagate symmetrically throughout all of the surrounding space.
Introduce a photon wave train into this space with energy E i = h ν i, moving at the speed of light toward a source of spherical particle waves.
Picture 14. Source of spherical waves + photon.
- In the ideal experiment, observe a unilateral variation in the energy state of the space surrounding the wave source.
- The introduction of the wave train into the space occupied by other waves has provoked a local “asymmetrical variation” in the wave energy surrounding the wave source.
- The photon’s energy is superimposed on the energy of the electron’s wave field in zone
- A portion of its spherical waves can be considered to be flat and parallel to the photon’s flat and parallel waves.
- Two energies Ee + Ei thus coexist at this moment in this zone.
- The distribution of energy around the electron begins to lack symmetry, as there has been an “asymmetrical” variation in the energy surrounding it.
- This variation is localized directionally and approaches the wave source at velocity “c”.
Let us now formulate our third working hypothesis following those concerning the discontinuity of space-time and the wave-like nature of the field of mass.
(These hypotheses do not weigh down the baggage of current hypotheses existing a priori in physics and will instead replace the ones that already exist).
Let us admit that the symmetry of the energy surrounding the electron is an undeniable property of the electron wave source.
As a result, each variation in this symmetry triggers a mechanism, of tendency or propensity to restore this lost symmetry.
This is not a new hypothesis based on a mechanism applied generally in physics that is often invoked as evidence of the observable tendency of physical and chemical systems to return to an energy equilibrium after they have been disturbed in some way.
This mechanism can be understood at the most elementary level of the Second Principle of Thermodynamics, which states that matter distributed evenly will establish a form of Energy Democracy.
As a result, any time that some kind of energy concentration takes place in a particular zone of space, the energy tends to arrange itself so as to make the matter present in each surrounding zone participate at an equal energy level.
At the level of elementary particles, collective action becomes individual with respect to individual particles.
The influence of the new mechanism’s action that forces it to restore the lost symmetry leaves the electron-particle wave source no alternative but to set itself in motion in the direction opposite to the source of the energy variation.
By setting itself in motion, the electron in fact shortens the wavelength it emits in the direction of motion by the positive Doppler effect, while it lengthens the wavelength emitted in the opposite direction by the negative Doppler effect.
Picture 15. First describe the situation of the wave numbers of the wave source at rest and the photon wave train. Then transfer it in terms of the relativistic description of the Doppler effect. This provides us with a correct interpretation of the energy level and introduces the quantum of action «h» into the formula describing the capacity of each of the wave surfaces involved, deriving «from purely geometrical terms» a new expression of the electron’s relativistic momentum.
After it accelerates, the velocity of the particle wave source is sufficient to make the wave density in front of the electron become equal to the density behind it and thus restore the symmetry of the wave variation.
The wave state then remains unchanged until a further asymmetrical energy variation intervenes. We can use geometrical representations alone to describe the situation of the waves and energy surrounding the electron and justify the variation in the wave situation in a mathematically correct way using the relativistic formulas of the Doppler effect.
According to the principles of relativity, we thus obtain a new basis for the interpretation of the pressure of radiation.
This arises exclusively from the conditions of “asymmetry” caused by the variation in wave energy that has taken place in the area surrounding the electron.
This result is significant as it enables us to formulate a new general physical principle based on the considerations of symmetry that led us to a purely geometrical proof of the momentum.
According to this principle, which we will call:
“Principle of Relative Symmetry”:
every body, as a source of elementary waves, will act to maintain the symmetry of every “wave variation” in its environment.
By the Principle of Relative Symmetry, each variation in the wave energy that occurs in the wave field of a mass must produce an equal variation in the wave energy of the opposite symmetrical point with respect to the center of the source of the field of mass.
The new principle will tacitly absorb the Principle of Energy Conservation as it will prove to be more descriptive and general.
We will be able to use it along with the dynamic model derived from it to justify the form and behavior of the four known interactions and, indirectly, to predict the existence of a fifth repulsive interaction.
Its explanatory power can be seen in its derivation of a totally relativistic description of the momentum from the symmetrical properties of space-time. And we can use it to understand in a completely natural fashion the physical reasons for the relativistic variation of mass that are based solely on waves.
The application of this principle to all the phenomena of bodies in motion does not depend on observability. It acts even where we are not able to observe it directly in its causal chain.
Up to here, we can claim that our attempt to describe the particle solely in terms of its nature as a wave source supports the expectations that we had set ourselves.
We are now in a position to establish the basis of a new dynamics of the particle in terms of its exclusively wave-like nature.
It remains premature to form a definitive judgment of the validity of what we have introduced that is new in physics. But already here it seems that Einstein, de Broglie, Schrödinger and Bohm were right whereas all those who considered and still consider the only valid description of matter and radiation to involve particles were in error.
It of course still requires sensitivity to understand from so little that we are in fact along the right path for a change in paradigm. And we cannot expect everyone to possess this special kind of sensitivity. Nonetheless, even now anyone could see that it is worth the effort to make the necessary tests.
To prove it, we must apply our model of radiation and matter based exclusively on waves to the key phenomena in physics. We will attempt to use the parameters of the logic of waves exclusively to explain all the experiments that have found answers up to now in terms of particles alone.
Even this would not be enough to allow us to make a reasonable choice between “quantum mechanics” based on particles and the new Quantum Wave Mechanics of the field.
We will have to demonstrate that the new wave model is able to explain the phenomena that can already be understood by the current theory. And we will also have to demonstrate how and why it is possible to unify the causal explanations of the various phenomena in the all fields in which the current theory has failed.
Not least, we will have to apply the new dynamics to predict new and unexplained phenomena that cannot be predicted in the current context, and which can be derived exclusively by our new theoretical acquisitions.