Geometric Passive Quantum Error Correction via Non-Associative Octonionic ADM Phase Manifold Mapping

We present a novel paradigm for hardware-level,passive quantum error correction (GP-QEC) derived from theBig Boot Gauge Theory (BBGT) framework. By utilizing acontinuous, fractionally constrained q = 0.5 Einstonite substrate,we eliminate the traditional computational constraints of theFermion Sign Problem. Furthermore, we formalize the DarkMatter Associator Tensor (A_DM) as a localized, non-associativephase-manifold corrector. Time-dependent numerical simulationsof the modified Gross-Pitaevskii Equation (GPE) demonstratethat mapping A_DM directly onto the spatial phase geometryresults in absolute zero-decoherence (∆ϕ = 0.0) under intensestochastic environmental degradation without measurement overhead..