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ZENODO
Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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The Cohesion UFT Rotation-Curve Law, Global Suppression, and the Radial Acceleration Relation

Authors: Gilbert, Dexter;

The Cohesion UFT Rotation-Curve Law, Global Suppression, and the Radial Acceleration Relation

Abstract

The Canon Continuance operator predicts a torsion-based surplus acceleration whoseamplitude is regulated by both local baryonic structure and a global surface-brightnesssuppression factor. In this work, the global suppression constant β is derived analyticallyfrom the coherence-collapse condition, yielding β ≈ 0.235 kpc/(km/s)2, in agreementwith empirical fits to SPARC rotation curves. Using this result, the full Canonrotation-curve law is written in closed form, including the weak-field limit, the highacceleration suppressed limit, and the transition function between them. The Canonradial acceleration relation (RAR) is then derived, and its slope, curvature, and scatterproperties are analyzed. The Canon RAR is shown to be exactly linear in log-log spacewith slope unity and negligible curvature, in contrast to MOND’s curved RAR. Thepredicted intrinsic scatter (∼ 0.05–0.10 dex) matches the observed SPARC RAR. Thiswork provides the first complete analytic formulation of the Canon rotation-curve lawand its observational consequences.

Keywords

Stellar astronomy, Astronomy/instrumentation, Physics, Astronomy, Astronomy/education, Physics/standards, Physics/instrumentation, Observational astronomy, Stars, Celestial, Mathematical physics, Physics/methods, Galactic astronomy, Celestial mechanics, Astronomy/methods, Theoretical physics

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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
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