The paper
This work analyzes SPARC galaxy rotation curves and shows that the inferred
compressibility profiles κ(r) do not follow a universal law, but instead organize
into a small number of distinct dynamical classes.
A central result is that, when re-expressed in terms of an accumulated structural
variable S(r), these profiles become significantly more regular and admit simple
class-dependent logistic relations κ(S).
The existence of a transition scale Sc suggests that the dynamical
discrepancy may reflect organized structural regimes rather than a single universal correction.
Current version:
emergent_gravity_v15_4.pdf
Project summary
The goal of this work is to explore whether the observed discrepancy between baryonic
and dynamical mass in galaxies may encode structured regimes rather than only an
additional matter component.
The key result is the emergence of class-dependent κ(S) relations and a characteristic
transition scale Sc.
Data and methods
Compressibility:
κ(r) = Vbar²(r) / Vobs²(r)
Structural variable:
S(r) = ∫₀ʳ | d log Vbar / dr′ | dr′
- SPARC dataset used
- κ(r) reconstructed for each galaxy
- Profiles classified into dynamical families
- Reparametrization using S(r)
- Class-dependent logistic κ(S) fits
- Robustness tested under Υ variations
News & Updates
April 2026: v15.4 released — introduction of S(r),
κ(S) relations, and robustness analysis.