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October 12, 2025Open Access

Identity-Preserving Local Holonomy Dynamics on Cochains: A Unified Discrete Framework For Guage Theory, Casuality & Topology

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Discrete Bianchi identities are derived from a single algebraic axiom, enhancing gauge theory understanding.
Numerical results achieved include precise verification of Ward contractions and gauge invariance in lattice configurations.
The framework shows that entanglement and causal dynamics align within the same algebraic structure.
Local updates emerge from edge holonomies, revealing how cochains function within gauge structures.

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Observational analysis reveals fundamental identities in gauge theory and causality in cochains, suggesting a unified framework.

Anoop Madhusudanan (2025) studied this question.

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