Search Results Lack Direct Evidence for B4→O(4) Restoration at RG Fixed Point — E8 Intelligence Research

FINDING: The search results are tangential — no direct paper on B4→O(4) restoration at an RG fixed point in lattice QCD was retrieved. The closest items are talks on gradient flow RG, chiral restoration in a Linear Sigma Model, and baryon operator construction on the lattice. No explicit B4 symmetry restoration result is present in the provided abstracts/titles. MATH: No equations, constants, or ratios are extractable from the given titles/abstracts. The only mathematical anchor is the mention of "Linear Sigma Model coupled to quarks" (chiral symmetry restoration) and "rotational" symmetry in baryon operators — but no explicit group-theoretic data (e.g., B4, O(4), beta function coefficients) is supplied. CONNECTION: The B4 hypercubic lattice point group is a finite subgroup of O(4). Its order is |B4| = 384. The ratio |B4|/|O(4)| is formally zero (infinite group), but the relevant geometric link is the embedding index: B4 ⊂ O(4) with the lattice breaking rotational symmetry to the hyp Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23385089
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
preprint
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Search Results Lack Direct Evidence for B4→O(4) Restoration at RG Fixed Point — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
preprint

Search Results Lack Direct Evidence for B4→O(4) Restoration at RG Fixed Point — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are tangential — no direct paper on B4→O(4) restoration at an RG fixed point in lattice QCD was retrieved. The closest items are talks on gradient flow RG, chiral restoration in a Linear Sigma Model, and baryon operator construction on the lattice. No explicit B4 symmetry restoration result is present in the provided abstracts/titles. MATH: No equations, constants, or ratios are extractable from the given titles/abstracts. The only mathematical anchor is the mention of "Linear Sigma Model coupled to quarks" (chiral symmetry restoration) and "rotational" symmetry in baryon operators — but no explicit group-theoretic data (e.g., B4, O(4), beta function coefficients) is supplied. CONNECTION: The B4 hypercubic lattice point group is a finite subgroup of O(4). Its order is |B4| = 384. The ratio |B4|/|O(4)| is formally zero (infinite group), but the relevant geometric link is the embedding index: B4 ⊂ O(4) with the lattice breaking rotational symmetry to the hyp Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
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