mvanwink5 wrote:So, light has no inertial reference frame and therefore has no mass, and an electron has an inertial reference frame and so has mass. The electron has an inertial reference frame because of the complex wave function, which effectively adds an involvement with an extra dimension.
Well-summarised: This is what I have deduced.
So, you must have mass to stand still,
This is why Newton defined mass: In order to quantify Galileo's inertia. To be able to be stationary within an inertial refrence frame an object must have mass. This also demands that there can be NO uncertainty in the position and momentum of the centre-of-mass of such an object. This deduction invalidates Heisenberg's interpretation of the relationship between (delta)x and (delta)p.
also standing still requires being engaged with this complex dimension.
This seems to be the logical concusion one has to reach. When a wave moves slower than light-speed, there must be an inertial reference frrame within which the speed of such a wave is zero. Within this reference frame, the wave has no kinetic energy; only mass-energy.
Moreover, mass is just a description of behavior of a complex wave.
Correct: An analogous cae in mind is when a light wave enters a material like glass: The wave refracts and moves at a slower speed through the glass. It is standard procedure in Optics to then solve Maxwell's equations assuming a complex wave in order to obtain the full information of the interaction between the wave and the material.
The issue is, is this just a "virtual" dimension or is there more to it?
This is the million dollar question. For the light wave within a dielectric, like glass, I would guess that the fourth dimension is virtual relative to the three-dimensional space the glass-material is occupying. In the case of a "free electron" moving through "free space", I am following up on the idea that there is an actual fourth space dimension in this case. And it is thus for this reason that an electron-wave can increase (or decrease) its energy by (delat)E for a limited time (delta)t. It is this energy that allows a charge-carrier in a superconductor to gain the required energy in order to move from one position to another position, and then give this energy back from where it came (over the fourth dimension).
Translating the question to a wave question is is there a wave that will travel only in complex space? What would that mean for energy conservation?
I do not think this is possible for an electron-wave since it is in reality a single photon light-wave with energy h*(nu) which lives with energy (1/2)*h*(nu) within our three-dimensional space and the rest of the energy (1/2)*h*(nu) is situated outside our space; but can be on loan for short periods of time.
Moreover, what appears as forces are just descriptions of wave superpositions?
I have not yet looked at all the interactionms: But I do deduce that all the quantum interactions between light and electron waves are caused by
entanglement and
disentanglement of waves (light-with-light, light-with-matter, and matter-with-matter)
So with light, wave superpositions can give light the appearance of particle behavior,
The entanglement of a light-wave with a matter wave gives the appearance of a "light-particle" interaction; but except for the requirements that momentum and energy must stay conserved, there is not an actual "collision" involved as there would be when a photon really acts like a particle.
with complex wave superpositions, other behavior appears that seems to be "unwave-like," but is in fact just complex wave superpositions.
In general correct: when a light wave gets "gobbled-up" by an electron wave, its kinetic energy transforms into mass-energy which adds to the mass-energy of the electron. The latter, in turn, demands that the electron must instantaneously change shape and size: It is this morphing of the electron-wave which Copenhagen incorrectly ibnterprets as a quantum jump of an "electron-particle".
Greetings from Holland> I will be back when I have another bit of time