Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== 1. Derive a toy coarse-graining: start with a lattice of spherical boundary elements, each with a simple surface stress-energy model, and average to get a continuum TμνT_{\mu\nu}Tμν. Compute the Newtonian potential in linearized gravity and estimate its magnitude for plausible microscopic parameters. (This shows feasibility or the impossibility of reproducing Newtonian GGG without huge microparameters.) ===
# Compute radiation momentum transfer density for a simple model (opacity κ, flux F), then compare the acceleration per unit mass to g for Earthlike numbers (shows how tiny radiative forces are).
# Work out how Doppler-shift of photon exchanges for a moving boundary could yield factors reminiscent of Lorentz γ — attempt a derivation of velocity-dependent inertia from microscopic scattering.
# Formalize the boundary action + variation and derive the Maxwell pillbox boundary conditions and the surface stress-energy expression explicitly (links to earlier work we did).

I recommend starting with (1) or (3) because they tackle the two crucial questions: can this mechanism produce the numeric strength of gravity, and can it produce relativistic inertia?