Nice derivation of Lorentz Force Law from an Action?

[Yablon]

I just posted an update at:

http://vixra.org/pdf/1512.0489v2.pdf

This shows in an expanded section 3 how Maxwell's source-free equations are embedded into an imaginary aspect of the Riemannian geometry and the gravitational field equation.

Jay

[FrediFizzx]

I just posted an update at:

http://vixra.org/pdf/1512.0489v2.pdf

This shows in an expanded section 3 how Maxwell's source-free equations are embedded into an imaginary aspect of the Riemannian geometry and the gravitational field equation.

Jay

Hi Jay,

See the following paper between eqs. (23-24).

http://arxiv.org/abs/0802.4453
"Geometrical formulation of classical electromagnetism"

Isn't that similar to what you have done with Lorentz Force?

[Yablon]

Hi Jay,

See the following paper between eqs. (23-24).

http://arxiv.org/abs/0802.4453
"Geometrical formulation of classical electromagnetism"

Isn't that similar to what you have done with Lorentz Force?

Fred, thankfully it is not. Same basic problem, but nowhere near the same result. Thanks, Jay

[Yablon]

Yesterday I made a few improvements to section 3. Linked at http://vixra.org/pdf/1512.0489v3.pdf. Jay

[Yablon]

I just finished a short new section 3 which extends the Lorentz force results to non-abelian gauge theory. It should post in a few hours (by Sunday morning EST) to http://vixra.org/pdf/1512.0489v4.pdf. Jay

[Yablon]

Dear friends:

I posted another update which should be at http://vixra.org/pdf/1512.0489v5.pdf on Tuesday morning EST.

If you have been following this work, you will know that I had identified Maxwell's source-free equations, but was stuck on how to get the non-zero sources in there. I am now unstuck: this version now fully unifies classical gravitation and electrodynamic for both the fields and the equations of motion. The new material is in section 4, based on a very careful revisiting starting at (4.10) of how the the second Bianchi identity gets contracted into the "marble" of the Einstein equation.

Jay