| _version_ | 1866901215856558080 |
|---|---|
| author | Partin, Greg |
| author_facet | Partin, Greg |
| contents | <p>This paper addresses a well-known challenge for modified gravity frameworks: reproducing the <strong>Baryonic Tully–Fisher Relation (BTFR)</strong> while simultaneously preserving agreement with galaxy rotation curves, gravitational lensing amplitudes, and strong-field timing constraints.</p> <p>Building on earlier χ-mediated gravity results, we identify a specific limitation of the v1.2 formulation, which reproduces galaxy rotation curves and lensing observables but yields an incorrect BTFR slope. We show that this discrepancy does not arise from numerical error or parameter tuning, but from the absence of a population-level low-acceleration scaling constraint.</p> <p>We introduce a <strong>regime-locked coupling law (v1.3)</strong> in which gravitational enhancement depends jointly on the emergent χ-field and the Newtonian acceleration scale. The core Klein–Gordon wave equation and χ-field definition remain unchanged; only the coupling law is modified. All parameters are global and fixed, with no per-galaxy fitting.</p> <p>Using predicted (not observed) velocities across the full SPARC galaxy sample, we demonstrate that v1.3:</p> <ul> <li> <p>Reproduces the observed BTFR slope within the accepted range,</p> </li> <li> <p>Preserves rotation-curve accuracy and universality,</p> </li> <li> <p>Maintains consistency with weak lensing amplitudes and strong-lensing time delays,</p> </li> <li> <p>Remains robust under out-of-sample validation and parameter sensitivity tests.</p> </li> </ul> <p>The paper provides explicit analytic derivations of the BTFR scaling, identifies the origin of BTFR scatter within the framework, and outlines falsifiable predictions for future observational tests. The results highlight how low-acceleration scaling constraints can emerge naturally within a field-mediated gravity model, without invoking dark matter particles or introducing galaxy-specific tuning.</p> <p>V1.1: Removed tautological tests that incorrectly stated Pass.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18159868 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Resolving the BTFR Constraint in χ-Mediated Gravity via Regime-Locked Coupling (v1.3) Partin, Greg modified gravity baryonic Tully-Fisher relation galaxy rotation curves low-acceleration regime emergent gravity alternative to dark matter gravitational coupling <p>This paper addresses a well-known challenge for modified gravity frameworks: reproducing the <strong>Baryonic Tully–Fisher Relation (BTFR)</strong> while simultaneously preserving agreement with galaxy rotation curves, gravitational lensing amplitudes, and strong-field timing constraints.</p> <p>Building on earlier χ-mediated gravity results, we identify a specific limitation of the v1.2 formulation, which reproduces galaxy rotation curves and lensing observables but yields an incorrect BTFR slope. We show that this discrepancy does not arise from numerical error or parameter tuning, but from the absence of a population-level low-acceleration scaling constraint.</p> <p>We introduce a <strong>regime-locked coupling law (v1.3)</strong> in which gravitational enhancement depends jointly on the emergent χ-field and the Newtonian acceleration scale. The core Klein–Gordon wave equation and χ-field definition remain unchanged; only the coupling law is modified. All parameters are global and fixed, with no per-galaxy fitting.</p> <p>Using predicted (not observed) velocities across the full SPARC galaxy sample, we demonstrate that v1.3:</p> <ul> <li> <p>Reproduces the observed BTFR slope within the accepted range,</p> </li> <li> <p>Preserves rotation-curve accuracy and universality,</p> </li> <li> <p>Maintains consistency with weak lensing amplitudes and strong-lensing time delays,</p> </li> <li> <p>Remains robust under out-of-sample validation and parameter sensitivity tests.</p> </li> </ul> <p>The paper provides explicit analytic derivations of the BTFR scaling, identifies the origin of BTFR scatter within the framework, and outlines falsifiable predictions for future observational tests. The results highlight how low-acceleration scaling constraints can emerge naturally within a field-mediated gravity model, without invoking dark matter particles or introducing galaxy-specific tuning.</p> <p>V1.1: Removed tautological tests that incorrectly stated Pass.</p> |
| title | Resolving the BTFR Constraint in χ-Mediated Gravity via Regime-Locked Coupling (v1.3) |
| topic | modified gravity baryonic Tully-Fisher relation galaxy rotation curves low-acceleration regime emergent gravity alternative to dark matter gravitational coupling |
| url | https://doi.org/10.5281/zenodo.18159868 |