What question did this study set out to answer?

This paper aims to analyze the hadron topology and its implications on B_s mixing frequencies.

June 23, 2026Open Access

The Holographic Circlette: Part 08 — Hadron Topology, the Meson-Lepton Homomorphism, and the Geometric Origin of Bs Mixing

Key Points

This paper aims to analyze the hadron topology and its implications on B_s mixing frequencies.
Evaluated mesons as topological XOR composites using Boolean algebra on codeword XOR.
Consulted structural evaluations at a class-3 discrete-identity level.
Incorporated legacy erratum notes and updates from the 2026 ANCHOR/DRIFT framework.
Bs and Bc mesons were found to violate the R1 constraint, indicated by extreme B0 mixing frequencies.
Pions evaluated to the null codeword, linking to pseudoscalar mesons.
The methodology remains unaffected by the 2026 audit, preserving core qualitative findings.

Abstract

Audit note. This paper predates the framework's methodology audit of 2026-05-30. The hadron-topology / meson--lepton homomorphism content is structural (Boolean algebra on codeword XOR) and is unaffected by the audit's headline retractions. The Bₛ / Bc R1-anomaly framing is qualitative and survives at structural level. Readers should consult ANCHOR §15 (esp. items 135 III (b), 142) for the wider audit context affecting the framework's quantitative claims; this paper's content is class-3 discrete-identity / structural and survives without scope-limiting. We evaluate mesons as topological XOR composites. Colour bits cancel identically, mapping the pseudoscalar meson nonet into the lepton subspace. The pi+ evaluates to the null codeword (pseudo-Goldstone boson). The Bs and Bc mesons violate the R1 constraint, explaining extreme B0 mixing frequencies. 2026-06-20 legacy erratum: This version adds a canon erratum note to the legacy paper. Hadron topology mostly held; update spectroscopy audit The body is preserved as a historical derivation trail; the erratum note identifies the current ANCHOR/DRIFT status and superseded claims. 2026-06-21 canon refresh: This version incorporates the 2026-06-21 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.

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