Dark Matter Induced by Gravitational Potential: MOND-like Phenomenology at Galactic Scales

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⚠ This is an earlier version. Please use the latest version at: https://doi.org/10.5281/zenodo.20450130

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The Gravitational Potential Response Framework paper 1, v1.0.1

This work contains the preprint of GPRF Paper I. The Gravitational Potential Response Framework proposes that a linear constitutive relation between an induced non-baryonic density and the local gravitational potential depth, combined with the standard Newtonian Poisson operator, produces a screened Poisson equation with a Yukawa exterior solution. From this simple relation, the following emerge naturally:

- The deep-MOND 1/r scaling.
- The baryonic Tully-Fisher relation.
- The recently discovered outer halo cutoff of the Milky Way rotation curve.

All three emerge from a single coupling constant anchored to the BTFR normalization, with no modification to the gravitational operator required.

This is the first paper in a series. GPRF II will address relativistic phenomena, gravitational lensing, and cluster-scale extensions.