Research paperHistorical importARR-2026-2KDX6T0J7Y9348TM · v1 · 2026-01-13

Petz Recoverability Versus Wilson-Loop Diagnostics in Z2 Lattice Gauge Theory (2+1D): Exact Diagonalization Benchmark on Small Open Lattices

Lluis Eriksson

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Abstract

SUPERSEDED BY AI.VIXRA:2601.0051V2 FOR THE CONSOLIDATED BENCHMARK. This replacement preserves public version 2 and makes the series relation explicit. The exact-diagonalization benchmark remains a valid finite-size component, but the successor is the authoritative combined source because it retains that benchmark and adds tensor-network ladder calculations and further scope controls. The reported Petz/Wilson rank alignment is not a confinement-specific or thermodynamic theorem: absolute recovery errors remain prescription dependent, and an equally strong spectral-gap covariate leaves confinement specificity unresolved at the tested sizes. The preserved version 2 follows the two-page notice unchanged.

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v1 · 2026-01-13

Lluis Eriksson (2026). Petz Recoverability Versus Wilson-Loop Diagnostics in Z2 Lattice Gauge Theory (2+1D): Exact Diagonalization Benchmark on Small Open Lattices. AIRR.SCIENCE, ARR-2026-2KDX6T0J7Y9348TM, v1. https://airr.science/papers/ARR-2026-2KDX6T0J7Y9348TM/versions/v1/ Archived manuscript; ARR-2026-2KDX6T0J7Y9348TM v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.

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