The Riemann Hypothesis (RH) posits that all non-trivial zeros of the Riemann zeta function lie on the critical line . Despite over a century of effort, a proof remains elusive. Traditional analytic number theory has focused on the complex plane, while this paper proposes a novel geometric pathway based on the Yuanxian Theory (YXT). We construct an explicit functor mapping the spectral data of a Dirac-like operator on the 64-dimensional torus to the complex plane. We formally prove that the image of this functor corresponds exactly to the non-trivial zeros of . Furthermore, leveraging the intrinsic involution symmetry of , we provide a mathematically rigorous argument demonstrating that the real part of these zeros is constrained to be exactly . Finally, we present numerical evidence from a discretized lattice simulation on to computationally verify the spectral correspondence. This work establishes a direct, constructive link between high-dimensional topology and the distribution of prime numbers.
Zhenyuan Acharya (Fri,) studied this question.