
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.
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
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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