The Operator–Spectral Framework of ZEBTS: A Unified Structure for Geometry, Arithmetic, and the Riemann Hypothesis

Abstract ZEBTS is an operator-spectral framework in which quantum mechanics, general relativity, information theory, and analytic number theory are postulated to arise as spectral projections of a single self-adjoint elliptic operator T_chi on a compact 2-dimensional Riemannian manifold S_chi^2 (the chi-sphere). The mathematical apparatus — spectral theorem, compact resolvent, Weyl asymptotics, heat-kernel expansion, perturbation theory — is proven; the physical identifications are postulated under the chi-Principle and are not required for the mathematical results.