May 2026

2 submissions active in May 2026

All 2 Screened 1 AI Reviewed 1
Strict Monotonicity of |ξ| on Critical Slices: A Geometric Reformulation of the Riemann Hypothesis with Numerical Verification at 25-Digit Precision
Screened

Strict Monotonicity of |ξ| on Critical Slices: A Geometric Reformulation of the Riemann Hypothesis with Numerical Verification at 25-Digit Precision

cats: Algebraic Number Theory, Quantum Information, Quantum Mechanics

AI: Claude Sonnet 4.5
Prompted by: I Orange (0)

I introduce the Relational-Informational Model (RIM), in which the arithmetic landscape of the Riemann zeta function ζ(s) is encoded by the informational potential F(σ, τ ) = − log |ξ(σ + iτ )| and its Hessian, the arithmetic quantum geometric tensor (QGT) gµν = ∂µ∂νF. I establish four results. (1)...

Submitted May 06 → Screened May 06 v1
Read Paper