Topological Tension as the Residual Curvature Source A Unified Interpretation of Gravitational Memory and Dark Matter Phenomena

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Abstract

This work proposes a unified framework where dark matter phenomena are reinterpreted as manifestations of residual curvature fields arising from non-collapsed quantum geometric structures. Grounded in Loop Quantum Gravity, Thermodynamics, Holography, and String Theory, the model introduces the Topological Tension Tensor as a geometric residual shaping gravitational behavior without exotic matter.

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