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Why does the energy of a photon increase when falling into a gravitational field ?

Lets suppose we don't know the Einstein Planck equation. If we model this photon as a classical wave of fixed amplitude, a fixed number of oscillations (n) and an initial frequency, if the frequency blueshifts, then in a gravitational field the energy remains constant because the number n cannot increase, neither the amplitude nor the speed. Energy density increases only.

This model is a simple oscillation of a single field.( It is a bit different from a mechanical wave because these are made of objects that have mass and can move at various velocities.)

If we use the equation E=hf, then the energy of the photon increases, but I understand that we also need to add the potential energy to find the total energy. Et=Ep+hf. The potential energy decreases by the same amount the hf term increases.

The first problem is, this potential energy is not intrinsic to the photon itself.Secondly, how can the Einstein-Planck relation for energy (E=hf) be so far from a classical model like I have described?

Thanks GoC,Let me answer some of your statements.The medium doesn't have a vector velocity in my concept and even if it had, it would make no difference because it doesn't use the concept of inertia at all.The waves in the electromagnetic medium don't move, they propagate. Nothing moves. These wave don't have an identity of their own, just like water waves are made of different molecules as they advance. The difference is the the "molecules" of space don't have inertia like molecules of water. There is no meaning of vector velocity for space.

The motion of electrons is very clear according to my concept. It is the construction that gives them charge that I don't have an answer for. Since electrons are particles with rest mass, my concept says that as log as they travel at subliminal speed, they must posses orbital angular momentum.

This OAM is the only thing that slows things down, but the causality within any particle or system is always constant. They propagate the same way as OAM light beams. The only difference is that the twist is much greater which results in lower velocity and they generate a net electric field at the outside of the helical structure.