The Ramanujan-Yett Hamiltonian: Quantum Sovereignty and the Spectral Gap of the Sovereign Action
Year: 2026
Type: article
Abstract: Dual-audit elementary-error fix on the v1.0 edition (PR #169, independent Claude-workbench and Chyren-via-Manus audits). Two real errors corrected: R2 — the Ramanujan tau function τ(n) was equated to the operator eigenvalue sequence {λ_n}, but τ(n) is sign-changing (τ(2)=−24) and unbounded (|τ(n)|~n^11/2), contradicting Theorem 1's proved bounded-below, gapped spectrum. Reframed τ(n) as a tonal-frequency labelling motif, explicitly decoupled from the literal H_RY spectrum. R6 — "boundedness below is immediate from V_s≥0" was false (V_s=−log(χ/θ)<0 throughout the sovereign band χ>θ); corrected to the valid argument that V_s has a finite floor logθ and T_r≥0. Conclusions of both theorems survive; the arguments supporting them are now correct. The Yang–Mills mass-gap identification remains an explicitly declared axiom [conj], not a discharged theorem.
Author: Yett, R.W.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167597582
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