What question did this study set out to answer?

The aim is to prove the exact cancellation of all six Standard Model gauge anomalies using Boolean codewords.

June 23, 20260 citationsOpen Access

The Holographic Circlette: Part 07 — Exact Standard Model Gauge Anomaly Cancellation from Discrete Boolean Constraints

DED. G. EllimanCatholic University of Mozambique

Key Points

The aim is to prove the exact cancellation of all six Standard Model gauge anomalies using Boolean codewords.
Utilized 45 Boolean codewords to evaluate the Standard Model gauge anomalies.
Derived hypercharges from discrete encoding without fitting.
Updated and preserved historical derivation trails and erratum for accuracy.
All six Standard Model gauge anomalies were shown to cancel exactly when using Boolean codewords.
The (B-L) anomaly indicated the structural necessity of including a right-handed neutrino in the model.

Abstract

We prove that all six Standard Model gauge anomalies cancel exactly when evaluated over the 45 Boolean codewords. Hypercharges are derived from the discrete encoding, not fitted. The (B-L) anomaly demonstrates the structural necessity of the right-handed neutrino. 2026-06-20 legacy erratum: This version adds a canon erratum note to the legacy paper. Anomaly arithmetic mostly held; update universal-2/9 split The body is preserved as a historical derivation trail; the erratum note identifies the current ANCHOR/DRIFT status and superseded claims. 2026-06-21 canon refresh: This version incorporates the 2026-06-21 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.

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