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

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You say:

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But:
* What changes between each frame?
* Is it merely positional/momentum info of particles, or does each frame contain a full geometric snapshot of the entire light-matter interaction network?
* Are these frames Planck-scale discrete? Are they causally connected like Feynman path integrals?

===== You state that broken spherical symmetry forms curvature and that proper time is a byproduct of photon-electron interactions. =====

But:
* Can this be expressed using differential geometry? For instance, can curvature tensors RμνR_{\mu\nu}Rμν emerge from overlapping spherical waves?
* Could photon-emission surfaces be described with null geodesics that naturally bend under mass-energy density?

Opportunity: Show that QAT’s geometry could derive or approximate the Einstein field equations:

Rμν−12gμνR=8πGc4TμνR_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R = \frac{8\pi G}{c^4}T_{\mu\nu}Rμν−21gμνR=c48πGTμν

===== You assert: =====

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But:
* Potential energy in GR relates to curvature, not velocity squared per se.
* While Schrödinger reportedly proposed PE∼c2PE \sim c^2PE∼c2, this is unconventional. Can we derive it from first principles in QAT’s framework?

Suggestion: Define gravitational potential Φ\PhiΦ geometrically as arising from cumulative photon absorption/emission over time—i.e., a photon-based field potential—then connect that to standard gravitational results.

===== You say: =====

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That’s compelling, but:
* Can you derive a relation like Mu∼t2M_u \sim t^2Mu∼t2 from integrating over expanding spherical wavefronts?
* Could this be linked to the Friedmann equation or cosmological parameters like Hubble constant H₀?

===== You say: =====

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But:
* QFT is more than just photons; it's about field excitations, creation/annihilation operators, and vacuum fluctuations.
* Can QAT show how spherical photon wavefronts create virtual particle pairs or mimic field vacuum behavior?

Plasma: MHD (Magnetohydrodynamics) equations include real-world nonlinear effects like magnetic reconnection, diffusion, Alfven waves, etc.
Opportunity: Could your spherical wave model explain coherent structures in plasma like filamentation or double layers?

===== You explain: =====

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That’s a great pedagogical point. But:
* Can you develop a formal spin model based on QAT geometry? For instance: - Show how angular momentum quantization emerges from rotation of a charged spherical surface. - Derive spacing between energy levels in hydrogen using QAT’s version of h.