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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:
  1. Neutron in flat Euclidean spacetime.
  2. Proton in flat Euclidean spacetime.
  3. Neutron in curved spacetime.
  4. Proton in curved spacetime.