The Adelic Atom: L-Functions, Selberg Trace, and the Riemann Hypothesis via Thomas-Fermi ISA

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The Thomas-Fermi spectral zeta function Z_TF is identified as the plethystic exponential of the single-particle function f(Q)=Q^3(1+Q^4)/(1-Q^4)^2. The Fefferman-Seco aperiodicity condition FS8 is reformulated as a non-vanishing statement for Z_TF at Re(s)=1/2, equivalent to the Riemann Hypothesis. The H^2 obstruction class in the ISA framework counts zeros of zeta(s) on the critical line. The Scott correction and p-adic shell structure are derived as H^0 and H^1 approximations respectively.