Topological Resolution of Galactic Rotation Curves via Manifold Inversion

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Topological Resolution of Galactic Rotation Curves via Manifold Inversion

Abstract

This paper presents a model for gravitational anomalies, commonly attributed to Dark Matter, through the framework of Manifold Inversion. It is proposed that the cosmic singularity is not a point of zero volume, but a CPT-symmetric inversion surface on a continuous, one-sided 4D manifold. Under this topology, gravity acts as a cross-surface flux. What is detected as Dark Matter is identified as the gravitational influence of mass situated on the inverted side of the manifold.

Includes Toy model (Python) and Inversion Model Graphed. 

Version 1.4 Dark Matter Inversion FAQS.

Version 1.5 The Manifold Inversion: A Unified Resolution of Dark Matter and Dark Energy

Version 1.6 The Entropy Refiner: Information Conservation in an Inverting Manifold

Version 1.7: Adds inversion model v2.0 (NFW profile, flat rotation curve), updated plot, and falsifiability thresholds document v0.2.

Version 1.8: Adds theoretical supplement declaring derivation direction and formal metric constraints for the CPT-symmetric inversion surface. Establishes prior authorship of the three core physical claims and five metric conditions required for a full gravitational derivation.