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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19344875 |
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Table of Contents:
- <p><span>This work introduces a new empirical invariant, A_support, constructed as a global integral over galaxy rotation curves. The invariant captures the cumulative dynamical deficit between observed and baryonic accelerations across disk galaxies.</span></p> <p><span><br>Across a sample of 165 SPARC galaxies, A_support exhibits a strong correlation with independently inferred dynamical amplitude (Spearman ρ ≈ 0.93) and remains stable under extensive internal validation tests, including perturbations, null tests, and denominator decoupling experiments.</span></p> <p><span><br>The analysis demonstrates that the invariant encodes galaxy-level information not recoverable from simple baryonic summary quantities or single-parameter predictors. Preliminary external validation using independent rotation curve data yields consistent results within expected scatter.</span></p> <p><span><br>This work is purely empirical and does not assume a specific theoretical framework, but provides a new constraint that any successful model of galaxy dynamics must reproduce.</span></p> <p><span><br>The existence of such an invariant may point toward non-local or historical influences in galaxy dynamics, suggesting that the effective dynamical amplitude could depend on integrated properties beyond the instantaneous baryonic distribution.</span></p> <p><span><br>This work is related to previous exploratory studies by the author on alternative gravitational frameworks, including Temporal Synchrony Gradient Gravity (TSGG), although no specific theoretical model is assumed or required in the present analysis.</span></p>