Verification and Correction Annex (Errata and Numerical Audit): Rigorous Analytical Validation, State EquationCorrections, and Spinor CFD Reconstruction within the Quantum Lemniscate Theory (QLT / MHSS /MCBB)

This document presents an official internal mathematical, dimensional, and computational fluid dynamics (CFD) audit of the six foundational papers comprising the Quantum Lemniscate Theory (QLT /TLK), the Micro-Hydrodynamic Substrate Structure (MHSS) particle physics model, and the Multi-Centric Big Bounce (MCBB) cosmology. Through rigorous cross-verification, we first establish a registry of nine core analytical derivations that exhibit one hundred percent mathematical and dimensional integrity. Second, we identify and explicitly correct nine transcriptional, arithmetic, and dimensional discrepancies, alongside three numerical simplifications in the Split-Step Fourier Method (SSFM) simulation scripts.