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July 15, 2026Open Access

The Constitutive Gravitational Framework IX: Full-Sample Validation of the Weak-Field Response Using the SPARC Rotation-Curve Database and SDSS Weak Lensing

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Authors

RDRalph C DeMartino

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Overview

Randomized trial tests weak-field gravity effects in galaxies, indicating a unified framework for dynamics and vacuum.

Key Points

  • The study aims to validate a reformulated theory of weak-field gravity that addresses galactic dynamics without dark matter.
  • Utilized the SPARC rotation-curve database comprising 132 galaxies and 2652 measurements for calibration and testing.
  • Implemented tests using SDSS Data Release 7 weak-lensing measurements across three stellar-mass bins with full covariance weighting.
  • Performed marginalization over parameters including stellar mass-to-light ratio and distance.
  • Achieved a median reduced chi-square of 2.0 per galaxy, indicating effective model fitting.
  • Demonstrated comparable performance to MOND in fitting observed rotation curves with similar median differences in fitting quality.
  • Preferred acceleration scale constrained to a0 = (1.0–2.0) × 10−10 m s−2 after accounting for observational systematics.

Cite This Study

Ralph C DeMartino (2026) studied this question.

synapsesocial.com/papers/6a57245a88b21df875480c28https://doi.org/10.5281/zenodo.21331455
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A Constitutive Framework for Weak-Field Gravity: Galaxy Rotation Curves and SDSS Weak Gravitational Lensing2026
  2. 2Initial Rotation-Curve Tests of a Constitutive Framework for Gravity: Comparison with MOND in Three Disk Galaxies2026
  3. 3The Constitutive Gravitational Framework VIII: A Finite Vacuum-Mode Origin for the Shape of the Weak-Field Response, Tested Against SPARC Rotation Curves2026
  4. 4A Constitutive Framework for Weak-Field Gravitational Dynamics in the Low-Acceleration Regime with a Minimal Relativistic Extension2026
  5. 5A Constitutive Framework for Weak-Field Gravitational Dynamics in the Low-Acceleration Regime with a Minimal Relativistic Extension2026 · 2 citations