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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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==== - Geometry →Gμν\to G_{\mu\nu}→Gμν: The Israel junction route is the precise GR calculus that turns a surface EM energy into a jump in curvature. That’s the missing derivation path. ==== * Spin-2 emergence: The composite effective field and/or second-order boundary response produce a symmetric rank-2 field with the correct gauge structure — the rigorous content QFT demands. * Time dilation: The optical metric and redshift tie your “exchange rate” clock to standard GR exactly, not just heuristically. If you want, I can now write the first full worked example: “One spherical shell with steady photon exchange PPP ⇒ compute SabS_{ab}Sab ⇒ Israel jump ⇒ recover Newtonian limit and estimate the size of GR corrections.” That’s a compact derivation we can circulate for independent checking.
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