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Research . 2026
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Research . 2026
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Impedance Contrast Theory: Galaxy Rotation Curves and Gravitational Lensing from Vacuum Impedance Susceptibility

Authors: Gu, Christopher;

Impedance Contrast Theory: Galaxy Rotation Curves and Gravitational Lensing from Vacuum Impedance Susceptibility

Abstract

STAY CURRENT All current versions of the UTI framework papers are available here: https://linktr.ee/uti_papers VERSION 2.6 Author: Christopher Gu [ georgeguiscool@gmail.com ] Software Developer based in El Monte, California, USAApril 2026 Abstract We propose a low-acceleration vacuum impedance susceptibility, motivated by the Universal Topological Impedance framework v2.6 [1], that yields flat galaxy rotation curves and a MOND-like baryonic Tully-Fisher relation without dark matter. The core new ingredient is a susceptibility function mu that modifies the gravitational Poisson equation to div[mu(|grad Phi|/a_0) grad Phi] = 4 pi G rho, analogous to how a dielectric susceptibility modifies the electromagnetic field equation in a medium. At high accelerations (|grad Phi| >> a_0), mu -> 1 and standard Newtonian gravity is recovered. At low accelerations (|grad Phi| |grad Phi|/a_0 and gravity is enhanced. The transition scale a_0 = c H_0 / (2 pi) ~ 1.05 x 10^-10 m/s^2 follows from the graviton mode cutoff at the de Sitter horizon: the Rindler frequency omega = g/c gives a graviton wavelength lambda = c^2/g (established physics), and the transition occurs when lambda equals the horizon circumference 2 pi c / H_0 (one new assumption). Flat rotation curves follow with v = (G M a_0)^(1/4), predicting the Milky Way flat velocity from baryonic mass alone (~173 km/s for M ~ 6.5 x 10^10 M_sun from Gaia DR3, observed 200-220 km/s). The baryonic Tully-Fisher relation M proportional to v^4 follows as a direct consequence with normalization set by H_0. A covariant AQUAL-style action with conformal scalar coupling produces lensing enhancements of 5x-15x in the deep-MOND regime; the Bullet Cluster lensing offset is phenomenologically reproduced with a fitted amplification factor alpha ~ 15 in an impedance-memory mechanism with relaxation time tau = 1/H_0. The framework introduces no fitted galactic-scale parameter in the rotation-curve sector beyond the chosen susceptibility interpolation mu(x) = x/(1+x) and the horizon-fixed scale a_0 = c H_0 / (2 pi); the Bullet Cluster extension adds the extracted amplification factor alpha and the postulated relaxation time tau. UTI v2.6 derives the microscopic trace-channel scalar eta (f_0(500)/sigma, ~450 MeV, range ~0.44 fm) at nuclear scales by canonical Hubbard-Stratonovich localization of the QCD trace-trace correlator; Impedance Contrast Theory supplies the macroscopic vacuum response at galactic scales. The connection is motivational rather than derivational: the UTI v2.6 scalar is exponentially suppressed beyond ~0.4 fm and does not propagate to galactic scales, and the galactic susceptibility mu is a new phenomenological ingredient motivated by the same trace-channel impedance interpretation. No modification of macroscopic general relativity is proposed or implied.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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