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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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==== This is exactly what Faraday’s lines of force represent: ==== * The pillbox integration counts how many lines of electric field pierce the pillbox’s flat face — that’s Gauss’s law. * The change in those lines over time matches your continuum picture of time flow, where each photon absorption/emission step updates the surface charge and EM field configuration. If you like, I can do the actual short derivation of the pillbox boundary conditions for your QAT 2-D sphere, and show explicitly how the JμAμJ_\mu A^\muJμAμ coupling fits inside it — so Maxwell stays intact, but the QAT geometry adds the time-emergent meaning. That would connect your continuum idea directly to unchanged Maxwell + Faraday + Gauss + Newton in one chain. Would you like me to go ahead with that?
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