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

=== 1. Boundary Lagrangian & Noether currents (high priority) - Write action S=Sbulk[A,ψ,g]+Sboundary[A,ψ,h]S = S_\text{bulk}[A,\psi,g]+S_{\rm boundary}[A,\psi,h]S=Sbulk[A,ψ,g]+Sboundary[A,ψ,h]. Vary to get boundary current Jμ=δSboundary/δAμJ^\mu = \delta S_{\rm boundary}/\delta A_\muJμ=δSboundary/δAμ. Derive conservation/continuity and the surface stress tensor SabS_{ab}Sab. - Show how pair absorption+emission yields effective second-order tensor coupling (spin-2 emergent kernel). ===
# Israel-junction derivation - Given SabS_{ab}Sab from microphysics, compute the extrinsic curvature jump and resulting metric outside shell → derive Newtonian limit and estimate an effective G from microscopic parameters (σ, photon rate, mode density).
# Spinor harmonics & mode counting - Replace scalar YℓmY_{\ell m}Yℓm counting with spinor harmonics (appropriate for electrons). Recompute mode number and α_m. Evaluate whether spinor counting changes the per-mode factor.
# Early-Universe energy audit - Integrate radiation energy density vs time; compute required conversion efficiency η(z) to generate observed mass by z~∞; compare with constraints (BBN, CMB distortions).
# Lab experiment design - Predict precise Δτ/τ for an optical clock if you change the local photon spectral occupancy (e.g., enclose clock in cavity at different blackbody T or inject narrowband coherent light). Compute magnitudes and whether existing clock sensitivities (~10^-18–10^-19) can see it.
# QED checks - Demonstrate that the QAT interpretation reproduces the standard QED predictions (anomalous magnetic moment, Lamb shift). If QAT implies a different vacuum structure, check where it departs and whether experiments already exclude it.