mFLOShop📄 B. The Axiom of Coherent Existence: A Proof of the Riemann Hypothesis from First Principles of Systemic Stability
📄 B. The Axiom of Coherent Existence: A Proof of the Riemann Hypothesis from First Principles of Systemic Stability
📄 B. The Axiom of Coherent Existence: A Proof of the Riemann Hypothesis from First Principles of Systemic Stability
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📄 The Axiom of Coherent Existence: A Proof of the Riemann Hypothesis from First Principles of Systemic Stability
If the Axiom of Coherent Existence (ACE) holds, then the Riemann Hypothesis (RH) is true.
Abstract
We introduce a new axiomatic framework, the Axiom of Coherent Existence (ACE), which posits that the stability of the number system necessitates the truth of its underlying laws. Within this framework, we model the integers as a dynamic system whose stability is encoded in a Hilbert space over the nontrivial zeros of the Riemann Zeta function. We prove, by reductio ad absurdum, that a single zero off the critical line introduces a divergent instability, creating a direct contradiction between the framework's core postulates. This paper demonstrates the precise logical implication ACE ⇒ RH.
Note: This paper establishes the conditional proof. The postulates are proven in Paper #3.
Note: RH is proved conditionally on ACE in this paper.
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$61.80
$61.80