Bimodal Regime Structure in Galactic Rotation Curves: Evidence for Distinct Dynamical States and a Field-Based Interpretation of the Dark Matter Effect

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Abstract

This work analyses 164 galactic rotation curves from the SPARC database and develops a field-based interpretation of the dark matter effect within the framework of the Universal Quantum Foam Hypothesis (UQSH). The empirical excess term C(r) = v2obs(r) - v2bar(r) reveals, after normalisation, a consistent structure of preferred dynamical regimes. 1 Global fits identify two dominant states: a peak regime with scale parameter q ≈ 0.5–1.0, encompassing mainly low-surface-brightness galaxies and dwarf galaxies, and a diffuse regime with q ≈ 3.0, dominated by more massive spiral galaxies. Individual fits yield a distribution of roughly 62% peak systems, 26% diffuse systems, and 12% in the transition zone. An analysis of the dynamic factor D = gobs/gbar as a function of the maximum rotation curve radius reveals a statistically significant negative correlation (r = -0.31, p = 0.0001). Beyond approximately 50–80 kpc, D converges systematically toward 1. This empirical instability boundary marks the spatial range within which coherent field organisation produces measurable amplification. In the UQSH, light is interpreted as a spherically propagating tension front that follows the accumulated field geometry. In this picture, the convergence κ does not measure the instantaneous mass density, but the projected field curvature. A UQSH model of the Bullet Cluster reproduces the characteristic order of magnitude of the offsets between gas centres and κ-peaks of 219 kpc and 228 kpc without requiring an additional non-baryonic matter component. In the UQSH, the dark matter effect is not a sign of missing particles but an intrinsic property of the field medium. Baryonic structures are stable field configurations that spatially pre-stress the field medium. Through continuous radiation they excite the field and generate persistent deformations that do not fully relax. The nonlinear superposition of these three sources — bound baryonic mass, continuous radiation, and the accumulated field pre-stress — produces a large-scale field tension that appears observationally as the dark matter effect. On galactic scales, the empirical instability boundary at approximately 50–80 kpc sets a natural spatial limit on this field tension. In galaxy clusters, the individual contributions of many saturated structures superpose into a collective field tension that systematically raises the lensing signal above the baryonic expectation. The universal fits show high internal consistency within each regime, with mean squared errors of MSE ≈ 0.016 in the peak regime and MSE ≈ 0.06–0.13 in the diffuse regime. This universality stands in contrast to the expectation from continuous halo models and supports the field-based interpretation of preferred dynamical states.

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  1. This Zenodo record is a permanently preserved version of a PREreview. You can view the complete PREreview at https://prereview.org/reviews/19582666.

    this work was instrumental in establishing working derivations in my VEF thesis.

    https://zenodo.org/records/19563716?token=eyJhbGciOiJIUzUxMiJ9.eyJpZCI6ImJkNDQ4OGU2LTIwMzUtNDE4ZS1iOGUxLTQ2YmE5NDlmZWY2OCIsImRhdGEiOnt9LCJyYW5kb20iOiIxZjZjOGI0NzEyYjlmMWQwODVlODNiZjAwZjI2MTUxYyJ9.GO9vXuLBdd5FHMNxnhqxCMsnFSTnFLlA83Z40G9UcCGNnjHxtcjaYiCCNUW1JZvli_Op6Vm8kRWV_dg3slYSow

    i know how hard it is to create anything and i owe you one. thank you

    Competing interests

    The author declares that they have no competing interests.

    Use of Artificial Intelligence (AI)

    The author declares that they did not use generative AI to come up with new ideas for their review.