Global Gauge Stability and the 5.7$\sigma$ Cosmic Dipole: A Non-orientable Resolution to the Cauchy Horizon Instability

This repository contains the primary manuscript and analytical supplement for the Iterated Klein Bottle Lattice (IKBL) framework. By replacing the FLRW curvature singularity with a non-orientable topological vent, we derive a parameter-free invariant of χ = 40/7 ≈ 5.714. This provides a first-principles explanation for the 5.7σ cosmic dipole recently confirmed in the Euclid Q1 and LOFAR datasets. The included Analytical Supplement provides the formal proofs for: The a⁻⁶ torsional energy scaling law. The C² continuity of the Metric Re-Indexing Operator (R̂) across the non-orientable hypersurface. The prediction of frequency-independent topological birefringence for the 2026 LSST cycle. Files included: Chin_Global_Gauge_Stability_2026.pdf (Main Manuscript) Chin_Analytical_Supplement_2026.pdf (Technical Appendix) Source_Files.zip (LaTeX source, .bib bibliography, and APS style files) "This preprint includes the primary manuscript and a comprehensive analytical supplement providing the mathematical foundations for the IKBL framework."