Crossed Cosmos / ECI v8.0.0 — G_2 vs SU(3) entanglement entropy world-first

First lattice measurement of Renyi-2 entanglement entropy in G_2 gauge theory (exceptional Lie group, Z(G_2)={1}) and comparison with SU(3) at matched string tension. 10 data points (L=4,6,8,10,12 for each group). Main result: ratio S_2(G_2)/S_2(SU(3)) = 1.292 +/- 0.001, constant across all volumes, 26% below gluon-counting prediction dim(adj)=14/8=1.75. First ab initio lattice evidence for Donnelly-Wall center-dependent EE decomposition. Rust code (x75 vs Python) on i5-14600KF 14-core. Bitcoin timestamped. Author: Kevin Remondiere (ORCID 0009-0008-2443-7166).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-27
DOI
https://doi.org/10.5281/zenodo.20410344
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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preprint

Crossed Cosmos / ECI v8.0.0 — G_2 vs SU(3) entanglement entropy world-first

Kévin Rémondière
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Crossed Cosmos / ECI v8.0.0 — G_2 vs SU(3) entanglement entropy world-first

Kévin Rémondière
preprint en

Abstract

First lattice measurement of Renyi-2 entanglement entropy in G_2 gauge theory (exceptional Lie group, Z(G_2)={1}) and comparison with SU(3) at matched string tension. 10 data points (L=4,6,8,10,12 for each group). Main result: ratio S_2(G_2)/S_2(SU(3)) = 1.292 +/- 0.001, constant across all volumes, 26% below gluon-counting prediction dim(adj)=14/8=1.75. First ab initio lattice evidence for Donnelly-Wall center-dependent EE decomposition. Rust code (x75 vs Python) on i5-14600KF 14-core. Bitcoin timestamped. Author: Kevin Remondiere (ORCID 0009-0008-2443-7166).

Zenodo (CERN European Organization for Nuclear Research)
Volga State University of Technology (RU)
Black Holes and Theoretical Physics
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