Information-preserving boundary reconstruction for center-flux energetics in a regulated SU(3) gauge ladder
Abstract
Gauss constraints make it nontrivial to open, close or join a gauge system while retaining its interior physics. Boundary reconstructions are constructed on a pure SU(3) ladder at six site-singlet cutoffs, with all allowed intertwiner multiplicities. Replacements of prescribed length are obtained using legal column paths and physical self-loops. On their stated physical domains, the channels preserve unnormalized conditional interior matrices, including their weights and within-branch coherence. Lowest-cutoff dephasing controls show that path probabilities alone do not preserve the matched magnetic observables. In that example, coherent resources lower the output energy without purification or global ground-state preparation. Matched interior Hamiltonian terms cancel exactly, so the energy cost is bounded independently of longitudinal length. The vacuum and flux energy densities are then established separately by same-sector gluing and stability. The open and periodic vacuum-subtracted line-energy densities are shown to be equal by two same-length boundary comparisons using the qualified periodic minimizing domain. These limits hold at fixed lattice spacing, transverse width, coupling and chosen cutoff.
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BibTeX
@misc{ma2026informationpreserving,
title = {{Information-preserving boundary reconstruction for center-flux energetics in a regulated SU(3) gauge ladder}},
author = {Hongyu Ma},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.40171},
eprint = {2609.40171},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40171},
}
RIS
TY - UNPB
TI - Information-preserving boundary reconstruction for center-flux energetics in a regulated SU(3) gauge ladder
AU - Hongyu Ma
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.40171
UR - https://arxiv.org/abs/2609.40171
AB - Gauss constraints make it nontrivial to open, close or join a gauge system while retaining its interior physics. Boundary reconstructions are constructed on a pure SU(3) ladder at six site-singlet cutoffs, with all allowed intertwiner multiplicities. Replacements of prescribed length are obtained using legal column paths and physical self-loops. On their stated physical domains, the channels preserve unnormalized conditional interior matrices, including their weights and within-branch coherence. Lowest-cutoff dephasing controls show that path probabilities alone do not preserve the matched magnetic observables. In that example, coherent resources lower the output energy without purification or global ground-state preparation. Matched interior Hamiltonian terms cancel exactly, so the energy cost is bounded independently of longitudinal length. The vacuum and flux energy densities are then established separately by same-sector gluing and stability. The open and periodic vacuum-subtracted line-energy densities are shown to be equal by two same-length boundary comparisons using the qualified periodic minimizing domain. These limits hold at fixed lattice spacing, transverse width, coupling and chosen cutoff.
ER -