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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Calculating Galactic Rotation Curves Using Spatial-Causal Geometry: A New Approach to Gravitational Dynamics

Authors: Hallman, D. J.;

Calculating Galactic Rotation Curves Using Spatial-Causal Geometry: A New Approach to Gravitational Dynamics

Abstract

This study presents Spatial-Causal Geometry (SCG) as an alternative framework to dark matter in explaining galactic rotation curves. Instead of treating gravity as a fundamental force requiring unseen mass, SCG models it as an emergent effect of spatial-density gradients, directly linking rotation velocities to the geometric structure of space. Using observational data from the SPARC database, this research applies a power-law spatial-density profile to fit galactic rotation curves without the need for dark matter halos. A best-fit analysis yields an optimal density gradient exponent , closely aligning with theoretical SCG predictions and demonstrating strong empirical agreement across multiple galaxy types. Key Findings: SCG Accurately Predicts Rotation Curves: Empirical validation shows that SCG-derived rotation velocities match observed data without requiring dark matter assumptions. Best-Fit Analysis Confirms Theoretical Predictions: The derived exponent aligns closely with theoretical expectations. Cosmological Implications: SCG predicts measurable gravitational lensing deviations, alternative large-scale structure formation mechanisms, and refinements to existing cosmological models. By reframing gravity as a geometric phenomenon, SCG challenges conventional astrophysical paradigms, offering a testable, falsifiable alternative to dark matter-based models. Keywords: Galactic rotation curves, Spatial-Causal Geometry (SCG), Dark matter alternatives, Gravitational dynamics, Power-law density gradients, SPARC database, Best-fit modeling, Gravitational lensing predictions, Large-scale structure formation, Cosmological implications

Keywords

Gravitational dynamics, Gravitational lensing predictions, Power-law density gradients, Cosmological implications, SPARC database, Large-scale structure formation, Galactic rotation curves, Spatial-Causal Geometry (SCG), Dark matter alternatives, Best-fit modeling

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average