Resolution of Riemann Hypothesis via Spectral Theory and Hypotrochoidic Geometry

Resolution of the Riemann Hypothesis via Septimal-Adelic Spectral Synthesis and Hypotrochoidic Geometry - Seeking Open Review (by Charles Tibedo)

This paper proposes that the iemann Hypothesis (RH), which posits that all non-trivial zeros of the Riemann zeta function lie on the critical line Re(s)=1/2, stands as the most consequential unsolved problem in pure mathematics. Its resolution would not only deepen our understanding of prime number distribution but also unify disparate domains of mathematics and physics. This work proposes a resolution to RH through a novel synthesis of septimal-adelic spectral synthesis, hypotrochoidic geometry, and modular stress conservation, anchored by the normalization of the Riemann-Siegel framework to cyclic boundary conditions (modulo 1)and validated computationally (10−80).This work provides a proposed formal resolution of the Riemann Hypothesis,validated through axiomatic proofs and computational syntheses. The synthesis of hypotrochoidic geometry, septimal cohomology, and adelic spectra.

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