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La Profilée - F* Under Hawking Radiation: Identity, Information, and the Structural Limit of Black Hole Evaporation
La Profilée (LP) identifies F* = {M, J, Q} — the residual Frame surviving complete Module collapse in a black hole — as the minimal identity-preserving structure that spacetime conserves when all degrees of freedom are lost. This paper derives the structural consequence of F* reaching zero through Hawking evaporation. First: the Non-Eliminability Theorem requires that M → 0 represents identity transformation, not elimination — information must be encoded in Hawking radiation as a structural necessity. Second (v3, replacing v2): a rigorous four-step proof establishes that LP identity preservation structurally requires full quantum unitarity via state-space isometry and Wigner’s theorem, not via the weaker injective-CPTP argument of v2. Third: the evaporation endpoint is F₀-adjacent. Three additional structural requirements for quantum gravity (6–8) are derived.
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