Corrected Chapter 13 of the Rubik Space Monograph — with Reproducible Measurement Code

Abstract

Corrected version of Chapter 13 of the monograph "A Rubik-tér: Négydimenziós bináris rács mint fizikai világ" (DOI: 10.5281/zenodo.22162465), together with the reproducible measurement code. The gauge-sector measurements in v52 are not tenable: they were produced with a globally synchronised fence flipping only in the x direction, a 3–5 cell initial condition, and a non-stationary measurement window. This affects the claimed "D = 4 optimum" and the 2.18% relative standard deviation. Main results of the corrected measurements: the matched active fence reduces the Q8 gauge group to the centraliser of i, ⟨i⟩ ≅ Z4, verified by the link histogram in every dimension; the effect of the fence is confined to a single shell with a sharp cutoff, and the bulk is a free Z4 field; the surface term depends on D but monotonically, so D = 4 is not distinguished; the stationary value depends on the relation between the initial sheet element and the fence element. Every figure reported here is reproducible with the attached kerites_modell_v53.py; the commands are listed at the end of the document. Artificial intelligence (Claude, Anthropic) assisted in verifying the measurements, identifying the errors, and editing the text.