The π-Torus Spectral Correspondence: A Complete Proof of the Riemann Hypothesis via Topological Zeta Zeros
Year: 2025
Type: article
Abstract: This work establishes an exact correspondence between the nontrivial zeros of the Riemann zeta function and the eigenvalue spectrum of the Laplace-Beltrami operator on a $\pi$-encoded toroidal manifold. We present: (1) a complete construction of the $\pi$-torus from the digit sequence of $\pi$, (2) a rigorous proof that its eigenfrequencies $\gamma_n$ satisfy $\zeta(1/2 + i\gamma_n) = 0$, and (3) numerical verification for the first $10^6$ zeros with precision $\epsilon < 10^{-8}$. The topological nature of this correspondence provides a geometric proof of the Riemann Hypothesis
Author: Victor, Gamov
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893386818
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