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

=== I. Boundary micro→macro derivation (mathematical program) ===
# Write a microscopic action: bulk EM + matter + boundary term for electron shell (surface current coupling Sbdy=∫d3y jaAaS_{\rm bdy}=\int d^3y\, j^a A_aSbdy=∫d3yjaAa + surface kinetic terms).
# Quantize boundary modes and compute their stress-energy SabS_{ab}Sab on the surface.
# Coarse-grain / average many boundaries to define a continuum stress-energy density Tμνeff(x)T_{\mu\nu}^{\rm eff}(x)Tμνeff(x). Carefully show phase averaging → positivity and universality.
# Plug TμνeffT_{\mu\nu}^{\rm eff}Tμνeff into linearized Einstein eqn and check the produced potential in weak-field limit. See whether the amplitude produces Newton’s law and identify conditions on microparameters (cutoffs, coupling strengths).

II. Induced gravity route (Sakharov style)
* Show integrating out boundary/EM modes induces an effective Einstein–Hilbert term with Newton constant GGG related to microscopic parameters. This is hard — it ties GGG to cutoffs — but it is a natural framework: gravity emerges as elasticity of spacetime due to quantum vacuum response to the boundary dynamics.

III. Kinetic theory for photon gas + radiative transfer
* Use radiative transfer (Boltzmann) to compute momentum transfer density fμf^\mufμ due to photon absorption/emission in matter. Translate this into an effective force density and show how it contributes to the stress-energy. Compute orders of magnitude in astrophysical environments (e.g., star interiors, plasma filaments). This tells you where EM effects are important (stars, accretion discs) and where they are negligible (planets).

IV. Spinor structure from geometry
* Explore if boundary conditions on shells (e.g., antiperiodic boundary conditions) produce half-integer mode quantization and whether such modes satisfy a Dirac equation. Use spin geometry and index theory approaches.

V. Experimental proposals (doable or thought experiments)
# Cavity-enhanced anisotropic radiation test: place a torsion pendulum inside an extremely high intensity directional cavity and look for anisotropic inertial response. The expected effects are tiny; careful noise and thermal control required.
# Decoherence vs anisotropic bath: measure T2T_2T2 anisotropy in trapped ions in a directional photon bath — this is straightforward quantum optics and tests the “local update” idea.
# Photon deposition → inertial mass: deposit a measurable amount of energy into a test mass (laser heating) and look for change in inertia/gravitational mass beyond Δm=ΔE/c2Δm=\Delta E/c^2Δm=ΔE/c2 (highly challenging but conceptually distinct).

VI. Plasma scaling / astrophysical cross-checks
* Compute how QAT boundary dynamics couple at plasma scales. In stars and interstellar plasma EM energy density is larger and can shift dynamics (e.g., Alfvenic structures). QAT predicts strong coupling between EM geometry and effective inertia at those scales — compare to astrophysical observations (filamentary cosmic web, double layers). This is where QAT is most likely to produce testable differences.