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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17664411 |
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Table of Contents:
- <div>1. Abstract</div> <div>The Expansional Field Theory (EFT) shows that, by imposing only Newtonian continuity, scale invariance in the low-acceleration regime, and the existence of a minimal structural acceleration a_0, the effective dynamics becomes fully determined without interpolation functions or free parameters. Under these conditions, the only compatible expression for the effective acceleration is</div> <div> </div> <div>a_eff=√(a_0 a_N )</div> <div> </div> <div>where a_N=(G M)/r^2 represents the Newtonian limit. This form is not chosen or fitted but forced by the geometric structure of the weak-acceleration regime. Substituting into the circular-equilibrium condition yields immediately</div> <div> </div> <div>v^4=G M a_0</div> <div> </div> <div>which reproduces the baryonic Tully–Fisher relation with no additional parameters [4]. EFT thus provides a geometric origin for the low-acceleration law and a structural explanation for the square-root scaling observed in weak-gravity, self-supported systems.</div>