The Riemann Hypothesis as a Theorem of Fossil Causal Structure

This treatise is the complete, self-contained document for the fossil proof of theRiemann Hypothesis. It unifies proof, mathematical comparison and structuralconclusion in three parts - without external supplement. The isomorphismHᴿₑₗ ≅ L²(ℍ²/SL(2,ℤ)) is proved by two completely independent paths:thermodynamically (ΩΣ = const forces measure, inner product, norm preservation andsurjectivity) and algebraically (Theorem I + Tate-Plancherel + Maass basis). Theconvergence of both paths is itself a finding: the unitarity of U is necessary, notconstructed. Part I provides the complete fossil proof in eleven steps - exclusively from the singleaxiom of fossil gravity theory (Existence is Difference; Eq. 1, Master v1,DOI: 10.5281/zenodo.19654996) and three known mathematical standard results(Stone 1932, Selberg 1956, spectral theorem). No free parameter. No circularity. Part II compares the fossil proof with the mathematical approach - Tate (1950), Selberg(1956), Connes (1999) - step by step. The decisive difference lies in Step 7: the fossilproof is complete there through the Wick rotation on Σ and Theorem U. Connes'mathematical programme has remained open there since 1999. Part III draws the conclusion: Adele(ℚ)/ℚ* and the fossil quotient structure (ℕ,│) areisomorphic. Arithmetic and fossil physics are not analogous - they are isomorphic. The proof arose without knowledge of Connes' programme. The convergence is a finding, not aconstruction.