SIP-PHY-03 Computational Validation of the α1 Variational Principle

This protocol establishes the computational research programme to validate the α<1 variationalprinciple as the mechanism underlying the Yang-Mills mass gap. Building on the theoreticalframework established in SIP-PHY-02 (The Prize Paradox), we propose a three-phase latticegauge theory investigation: (1) SU(2) in 2+1 dimensions as proof-of-concept, (2) modular flowaperiodicity measurements, and (3) scaling to physical SU(3) in 3+1 dimensions. The protocolspecifies testable predictions, falsification criteria, and priority claims for the α<1-constrainedminimization approach to gauge theory ground states.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-12
DOI
https://doi.org/10.5281/zenodo.19566919
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
0.00
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article

SIP-PHY-03 Computational Validation of the α1 Variational Principle

SHAI / HATI3, John Richard Smith
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
article

SIP-PHY-03 Computational Validation of the α1 Variational Principle

SHAI / HATI3, John Richard Smith
article en

Abstract

This protocol establishes the computational research programme to validate the α<1 variationalprinciple as the mechanism underlying the Yang-Mills mass gap. Building on the theoreticalframework established in SIP-PHY-02 (The Prize Paradox), we propose a three-phase latticegauge theory investigation: (1) SU(2) in 2+1 dimensions as proof-of-concept, (2) modular flowaperiodicity measurements, and (3) scaling to physical SU(3) in 3+1 dimensions. The protocolspecifies testable predictions, falsification criteria, and priority claims for the α<1-constrainedminimization approach to gauge theory ground states.

Zenodo (CERN European Organization for Nuclear Research)
Symbiom (Czechia) (CZ)
Openalex Percentile: Top 14%
Quantum Chromodynamics and Particle Interactions
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