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The research aims to develop a geometric approach to address discrepancies in galactic rotation curves without relying on dark matter.

April 15, 2026Open Access

Einstein–Karahan Framework v123: A Torsion-Based Geometric Approach to Galactic Rotation Curves and the Emergence of a Universal Coherence Scale

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The research aims to develop a geometric approach to address discrepancies in galactic rotation curves without relying on dark matter.
Introduced a torsion-based framework to extend classical gravitational theory.
Tested the model against observational data from the SPARC database using MCMC methods.
Conducted a multi-galaxy analysis on specific galaxies including NGC 3198 and NGC 2403.
Analyzed the stability of the torsion coherence parameter across different galaxies.
Achieved statistically consistent fits with chi^2/dof ranging from 0.8 to 1.2.
Found the torsion coherence parameter clustered around r_s = 4.8 kpc.
Demonstrated that the framework provides a predictive capability for galactic dynamics.

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This framework proposes a geometric model for galactic dynamics, suggesting a universal coherence scale across galaxies.

Asil Karahan (2026) studied this question.

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