What question did this study set out to answer?

This synthesis aims to establish kappa_CJ universality across SPARC galaxies and examine the resultant tension between predictions and observed data.

June 14, 2026Open Access

TQNT-V5. 3 — Synthesis: kappaCJ universality on SPARC and concentration-mass slope tension

Key Points

This synthesis aims to establish kappa_CJ universality across SPARC galaxies and examine the resultant tension between predictions and observed data.
Analyzed 175 SPARC galaxies
Calculated concentration-mass slope using V5.3 predictions and Wechsler-Bullock observations
Computed chi2/N statistic for model fit evaluation
Documented 18.4σ tension between predicted concentration-mass slope (+0.573 ± 0.036) and observed slope (-0.10)
Achieved a chi2/N statistic of 3.05, indicating model fit quality
Identified this tension as a key empirical question for subsequent studies V5.4-V5.7

Abstract

TQNT-V5. 3 synthesis paper establishing the kappaCJ universality on 175 SPARC galaxies (chi2/N = 3. 05) and documenting the 18. 4σ tension between V5. 3 predicted concentration-mass slope (+0. 573 ± 0. 036) and Wechsler-Bullock observed (-0. 10). This tension is the empirical open question addressed by V5. 4-V5. 7. This deposit complements the V5 monograph (10. 5281/zenodo. 19131538).

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