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April 25, 20260 citationsOpen Access

Covariant q-Deformed Topological Field Theory on M3: Emergent Temporality, Singularity Resolution, and Galactic Scale Validation

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DWDa Wei

Key Points

  • This research aims to resolve gravitational singularities and derive galactic rotation curves using a new effective field theory on M3.
  • Developed a covariant q-deformed effective field theory on a ternary manifold (M3).
  • Conducted numerical fitting with the SPARC dataset to analyze galactic rotation curves.
  • Evaluated the theory's singularity resolution and predicted lensing deviations.
  • The theory successfully replaces classical gravitational singularities with a non-projective ∅-state.
  • Fitting to the SPARC dataset shows galactic rotation curves match observations without requiring dark matter.
  • Predicted second-order lensing deviation is measurable with future high-precision observations.

Abstract

We present a covariant q-deformed effective field theory (EFT) on a ternary topologi-cal manifold (M3), demonstrating that spacetime dynamics and temporality are emergentmanifestations of constrained information flux. We provide two major theoretical advance-ments: (1) a formal resolution of gravitational singularities via capacity saturation, wherethe classical singularity is replaced by a non-projective ∅-state, and (2) a derivation of flatgalactic rotation curves from conserved topological vacuum flux. Numerical fitting to theSPARC (Statistically Pure Samples of Rotational Curves) dataset indicates that the frame-work accounts for galactic dynamics without dark matter. The theory remains ghost-freeand admits a consistent Newtonian limit, while predicting a second-order lensing deviationmeasurable by future high-precision observations.

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Cite This Study

Da Wei (2026) studied this question.

synapsesocial.com/papers/69ec5a8888ba6daa22dac102https://doi.org/10.5281/zenodo.19706489
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