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, USA

April 2026

Abstract

The Universal Topological Impedance (UTI) program constructs gravitational and cosmological phenomena as successive vacuum responses to QCD trace-channel topology. UTI v2.6 [1] derives the microscopic nuclear-scale scalar eta (m_eta ~= 450 MeV, range ~= 0.44 fm) by canonical Hubbard-Stratonovich localization of the QCD trace-trace correlator, with canonical coupling g_eta = f_sigma / Z_T^(1/2). Impedance Contrast Theory v2.6 [2] extends the framework to galactic scales via a postulated low-acceleration vacuum impedance susceptibility mu(|grad Phi|/a_0), with a_0 = cH_0/(2pi) fixed by a horizon-cutoff ansatz, that produces flat rotation curves, the baryonic Tully-Fisher relation, and (with an impedance-memory mechanism and one fitted amplification alpha) Bullet Cluster lensing offsets from baryons alone. Dark Energy v2.6 [3] completes the chain at cosmological scales by identifying the observed Lambda with a periodic horizon-boundary potential rho_Lambda = chi_H (1 - cos Theta_H) sourced by the integrated trace-channel spectral asymmetry of weak and hadronic events in the causal patch, predicting |w_eff + 1| ~= 2 x 10^-4 with a theoretical band [10^-4, 10^-3]. The macroscopic predictions reduce to a small set of operator-level lattice targets - f_sigma, Z_T, the multi-pole trace correlator Pi_T(q^2), and the per-channel APS spectral-asymmetry jumps Delta eta_APS^(a) - spelled out in the companion Lattice QCD Proposal v2.6 [4]; the staged research program for executing this work on an independent-researcher budget is the companion Research Program v2.6 [5]. This document is a top-of-graph overview: the three-scale architecture, the key quantitative predictions, the current derivation status of each ingredient, and the staged collaboration-first roadmap. The Einstein equations and de Sitter geometry are taken as background structure throughout; the only new physics is the vacuum's impedance response in the trace channel, and the only new phenomenological ingredients beyond the QCD trace scalar are the galactic susceptibility mu and the horizon-sector phase field sigma, both explicitly labeled as such.