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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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=== Assistant: Done — I created a detailed technical note on the canvas titled “QAT — Boundary-Lagrangian derivation SI units”. === Done — I created a detailed technical note on the canvas titled “QAT — Boundary-Lagrangian derivation (SI units)”. It contains a step-by-step boundary/action derivation (bulk + surface action), the thin-shell EM self-energy calculation that produces the half-radius factor, pillbox boundary conditions for Maxwell’s equations, how surface occupation (photon absorption/emission) changes surface current and energy (bookkeeping), the Noether U(1) conserved surface current, a discussion of antiperiodic boundary conditions for spinors on the shell, and how the shell’s stress-energy feeds into curvature via Israel junctions. Next steps — pick one and I’ll expand and compute explicitly (SI units throughout): (a) Full LaTeX write-up with explicit units and a short numerical example for the electron (compute R, surface energy density, stabilizing tension). (b) Dynamical photon-deposition model: assume an incoming photon flux (W/m²), show how surface mass/energy grows and produce timescales. (c) Explicit mode quantization for boundary fermions on the 2-sphere (spectral decomposition) and demonstration of antiperiodic / half-integer quantization. Which one shall I do next? (Or pick more than one.)
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