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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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=== ## === Keep: Gravity couples to total stress–energy, not charge. QAT route: The spherical boundary process sources curvature via quadratic, gauge-invariant energy densities (e.g., TμνEM∼E2+B2T_{\mu\nu}^{\rm EM}\sim E^2+B^2TμνEM∼E2+B2, and matter TμνT_{\mu\nu}Tμν). That erases charge/polarization dependence and gives composition-independent free fall. Math sketch: Focusing of lightfronts (Raychaudhuri) uses Rμνkμkν∝Tμνkμkν≥0R_{\mu\nu}k^\mu k^\nu \propto T_{\mu\nu}k^\mu k^\nu\ge 0Rμνkμkν∝Tμνkμkν≥0. If QAT’s “event density” coarse-grains to standard TμνT_{\mu\nu}Tμν, universality follows. QAT prediction: Free-fall remains universal; QAT is not an EM-only gravity. ==== Data: Hot vs cold objects weigh (essentially) the same; thermal radiation energy is tiny. ==== QAT route: Curvature is sourced by rest mass + field energy. Thermal EM adds a minuscule u/c2u/c^2u/c2; QAT agrees it’s negligible in lab regimes. Wavelength role: Wavelength shapes micro-timing (your “clock granularity”) but the amount of curvature follows integrated energy density, not phase/intensity alone. ==== Issue: Out-of-phase pulsators repel in fluids; gravity is always attractive (for normal matter). ==== QAT route: Build gravity from phase-averaged quadratics (energy density/flux). Phase cancels; positivity remains → focusing of null congruences (attraction). Takeaway: Keep your “local in-phase within a reference frame” picture for time-slicing, but source curvature with phase-insensitive TμνT_{\mu\nu}Tμν. ==== EM can be screened; gravity can’t. ==== QAT route: The effective metric depends on gauge-invariant scalars/tensors (total TμνT_{\mu\nu}Tμν), not on exposed E-field lines. You can’t “shield” rest-mass energy. Result: QAT yields the same “no shielding” outcome as GR. ==== Concern: If gravity came from ongoing EM waves, static masses in the dark shouldn’t gravitate. ==== QAT route: Matter’s internal standing-wave structure (bound fields, zero-net-flux, but nonzero energy density) supplies T00T_{00}T00 continuously. No net radiative drain required; no “infinite energy consumption.” Picture: Your atoms are standing waves in time; time advances via local exchanges, but the source of curvature is the persistent bound energy, not a need for perpetual outward radiation. ==== Requirement: Recover Einstein’s dynamics in the continuum limit. ==== QAT route: * Boundary action on spherical shells → standard Maxwell boundary conditions (we already set this up). * Coarse-graining of event-momentum flux ∑pμpνδ(x−xevent)\sum p_\mu p_\nu\delta(x-x_{\rm event})∑pμpνδ(x−xevent) → effective TμνT_{\mu\nu}Tμν. * Null-congruence focusing + diffeomorphism invariance → Einstein equations with the usual coupling 8πG/c48\pi G/c^48πG/c4. Outcome: Light bending, redshift, frame dragging, gravitational waves emerge as in GR.
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