Phenomenological Consistencies and Boundary Closure of the M"{o}bius-Tesseract Cosmological Framework

This technical work establishes the global geometric stability, gauge invariance, and observational discriminants of the non-orientable 4D M"{o}bius-Tesseract cosmological model. Designed to provide exact tensor-based closure against foundational critiques within high-energy physics (gr-qc), we mathematically demonstrate that boundary discontinuities at the trans-Planckian threshold are regularized via non-linear bulk-brane couplings and Einstein-Cartan spin-torsion mechanics. Furthermore, specific statistical estimators are formulated to decouple the geometric topological signatures from astrophysical foreground dust in the Planck and DESI datasets. (Este registro contém as versões completas do framework, suplementos técnicos e códigos computacionais em inglês e português do Brasil).