A Conjectural Proof of the Riemann Hypothesis

Tested with N=20000 and Wigner GEO Chaos

https://www.filemail.com/d/tcwvvmkdjrgvagi

The Riemann Hypothesis (RH) asserts that all non-trivial zeros of the zeta function ζ(s) lie on the critical line ℜ(s) = 1/2. The Hilbert-Pólya conjecture posits a spectral realization via a self-adjoint operator H whose eigenvalues match the imaginary parts t k of these zeros. In the Eternal Universe Theory (EUT), we construct an explicit candidate H on ℓ 2 (N), derived from the Frank field’s quantum foam dynamics: arithmetic via the von Mangoldt function and geometry via a “heartbeat” kernel K ϕ (u) from LQG-correlated noise. Numerical evidence for truncations up to N = 500 shows GOE-level repulsion and eigenvalue convergence to t k within 1.2% for the first 20 zeros (after proper unfolding). We conjecture that RH follows as a cosmological selection principle: Only critical-line zeros stabilize the foam vacuum. This framework ties RH to quantum chaos in cyclic cosmology, with falsifiable predictions via larger-scale computations.