[talanum1 (OP)]

In my model a particle is a copy of all of 2D space, compactified into a Riemann Sphere. For an electron to absorb a photon all that is needed is that the two Riemann Spheres must merge. They can do that since the Riemann Sphere (RS) contains a singular point at it's north pole. The resulting electron's RS is therefore more compact than before the interaction.

[Bored chemist]

"Why Can an Electron Absorb a Photon?"
In general, it can't.

[alancalverd]

What is the name for the spheroids that hang between a bull's legs?

Or the material that exudes from its anus?

[talanum1 (OP)]

"Why Can an Electron Absorb a Photon?"
In general, it can't.

This is not what observation shows.

[Bored chemist]

"Why Can an Electron Absorb a Photon?"
In general, it can't.

This is not what observation shows.

Would you like to bet on that?

[alancalverd]

We can certainly alter the state of an electron by adding electromagnetic energy. I suspect the OP has adopted a naive model, and the simplistic answer to the question is "because it has spin and charge". The problem is that he wants to make the model more complicated.

[Bored chemist]

An electron, on it's own, can scatter a photon.
And there will be some change in the photon's energy.
But it will not be absorbed.

So the answer to "Why Can an Electron Absorb a Photon?"
Is still

In general, it can't.

[talanum1 (OP)]

Every light bulb says: electrons can emit photons. Every television tube says: electrons absorbs photons.

[Bored chemist]

Every light bulb says: electrons can emit photons. Every television tube says: electrons absorbs photons.

Light bulbs don't actually talk.

Basic physics says that EM radiation is emitted by accelerated charges and an electron can't accelerate on its own.

[talanum1 (OP)]

One explanation for an electron accelerated by a EM field is because it absorbed photons.

[Bored chemist]

One explanation for an electron accelerated by a EM field is because it absorbed photons.

Q What happens next?
A The photon is re-emitted

This process is called scattering.
Like I said earlier

An electron, on it's own, can scatter a photon.
And there will be some change in the photon's energy.
But it will not be absorbed.