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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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=== A. I prepare a full, self-contained LaTeX document that (i) derives the surface stress–energy from a simple boundary Lagrangian, (ii) computes the EM self-energy for a shell (showing R=re/2R=r_e/2R=re/2), (iii) applies Israel junction conditions and gives the weak-field potential, and (iv) contains numerical estimates and a discussion of Poincaré stresses and spin issues. This will be a technical note you can share for peer checking. === B. Or, I step through the derivations here in chat line-by-line so you can ask questions as they appear (slower but interactive). C. Or, produce a short one-page summary (2–3 figures) you can post to YouTube asking for independent math checks (human + AI), with a link to the technical LaTeX file (if you want). Which do you prefer? Also: do you prefer SI units in the derivations (with c,ε0,Gc,\varepsilon_0,Gc,ε0,G) or geometric units c=1c=1c=1? (I recommend SI for public sharing and clarity.) If you like, I’ll begin now with option A and deliver a LaTeX file containing the derivations and numerical examples (including the thin shell → re/2r_e/2re/2 result and a worked example of the Israel junction step) — and I’ll highlight the places where an independent check would be most useful.
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