A sigma–Calculus Proof of the Riemann Hypothesis
Year: 2025
Type: article
Abstract: Building on the σ–Turing Automaton framework, we rigorously realise the Riemann zeta function ω(s) as a Fredholm determinant of a collapse operator L(s) in the classical ε–Calculus.Using the self-adjoint product D(s) = K(s)·K(1 − s) on the critical line and an Euler-orthogonal factorisation, we prove that every non-trivial zero of ω satisfies Re(s) = ½. The argument is conditional on the ε-model faithfully encoding all effective computation.
Author: Sievers, Oliver
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6911969165
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