Geometry and Gen. Gauss' Law
Address a critique by Prof. John Baez:
"Instead what really matters is that Sweetser's model is a field theory on
Minkowski spacetime, not a background-free theory like general relativity."
Torsion-free, metric compatible connection means there is a unique metric for the connection (Christoffel symbol).
Focus on static point sources, the simplest, non-trivial case.
Disprove the critique with four calculations of charge densities:
- Neutron in flat Euclidean spacetime.
- Proton in flat Euclidean spacetime.
- Neutron in curved spacetime.
- Proton in curved spacetime.