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Mirror Symmetry as Phase-Torsion Duality in G-MaTT: A Pre-Geometric Perspective on Calabi–Yau Compactification

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Zenodo2026-01-04 更新2026-05-26 收录
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Abstract We propose that mirror symmetry — the duality exchanging complex and Kähler structures in Calabi–Yau manifolds — finds a natural pre-geometric interpretation in Generalized Mass as Twisted Time (G-MaTT). In G-MaTT, the primordial potential \(\mathcal{M}_\mu\) generates time via irreversible phase branching and mass/space via torsional gradients in emergent \(\hat{M}_\mu\)-braids. Mirror symmetry manifests as a phase-torsion duality: one "mirror" emphasizes phase coherence (visible matter, electromagnetic dominance), while its partner emphasizes torsional residuals (dark sectors, gravitational dominance). This duality preserves the underlying physics across desynchronization thresholds, with the fine-structure constant α ≈ 1/137.035999206 acting as the fixed point. The framework aligns with Yau's theorem on Calabi–Yau metrics (1978) and recent developments in mirror symmetry, offering a novel bridge between differential geometry and pre-geometric unification. Implications include refined predictions for neutrino oscillations and cosmic void statistics.

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2026-01-04
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