RSPhysicalThesis
plain-language theorem explainer
The RS Physical Thesis asserts that every nontrivial zero of the Riemann zeta function inside the open critical strip corresponds to a physical recognition event, forcing the associated defect sensor at charge one to satisfy physical existence. Researchers closing the Recognition Science derivation of the Riemann Hypothesis cite this as the single non-mechanical postulate required to obtain the full result from the Euler product and the ontological dichotomy. The declaration is a direct definition of the forall proposition with no internal lemm
Claim. The RS Physical Thesis is the proposition that for every complex number $ρ$, if $ζ(ρ)=0$ with $1/2 < Re(ρ) < 1$, then the defect sensor constructed from the real part of $ρ$ at charge one is physically existent.
background
The Zeta-Ledger Bridge module connects Mathlib's riemannZeta to the RS framework by mapping strip zeros to DefectSensor objects whose physical existence is governed by the ontological dichotomy proved in UnifiedRH: a sensor is physically existent precisely when its charge vanishes. The zetaDefectSensor constructor (from EulerInstantiation) produces a sensor carrying charge one for any zero in the open interval (1/2,1). Upstream results supply the minimal Physical structure on bridge anchors (positive c, ħ, G) and interpret the Euler product as the arithmetic ledger balance equation, with a zero marking a defect that must obey the Law of Existence (T1).
proof idea
This declaration is a definition that directly encodes the forall statement. No lemmas or tactics are invoked inside the body; the definition serves as the interface hypothesis passed to downstream results such as rsPhysicalThesis_of_logic_data and zeroInducedBridge_iff_rsPhysicalThesis.
why it matters
The definition supplies the sole non-mechanical ingredient for the RS route to the Riemann Hypothesis, feeding rh_from_rs_thesis, rh_full, and the equivalence zeroInducedBridge_iff_rsPhysicalThesis. It instantiates the Law of Existence (T1) for arithmetic defects inside the T0-T8 chain and closes the bridge from the Euler product to the absence of strip zeros. The open question it leaves is whether the thesis itself can be recovered from the Recognition Composition Law without external physical input.
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