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All current versions of the UTI framework papers are available here: https://linktr.ee/uti_papers

VERSION 2.7

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, and a subleading matter–antimatter gravitational sourcing asymmetry, as successive vacuum responses to QCD trace-channel topology. UTI v2.6 derives the microscopic nuclear-scale scalar η (mη ≈ 450 MeV, range ≈ 0.44 fm) by canonical Hubbard–Stratonovich localization of the QCD trace–trace correlator, with canonical coupling gη = fσ/ZT¹ᐞ². Impedance Contrast Theory v2.6 extends the framework to galactic scales via a postulated low-acceleration vacuum impedance susceptibility μ(|∇Φ|/a₀), with a₀ = cH₀/(2π) 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 α) Bullet Cluster lensing offsets from baryons alone. Dark Energy v2.6 completes the chain at cosmological scales by identifying the observed Λ with a periodic horizon-boundary potential ρΛ = χH(1 − cos ΘH) sourced by the integrated trace-channel spectral asymmetry of weak and hadronic events in the causal patch, predicting |weff + 1| ≈ 2 × 10⁻⁴ with a theoretical band [10⁻⁴, 10⁻³]. A new Scale-2.5 extension, Anti-Gravity v2.6, adds a small orientation-charged source term α Ξμν to the Einstein equations derived from a C-odd lift of the same trace-channel Dirac operator used by Dark Energy v2.6; this predicts a matter–antimatter free-fall differential |Δg/g| in the band [10⁻⁸, 10⁻⁶] with central estimate ~10⁻⁷, comfortably below the current ALPHA-g sensitivity but landing precisely at the ~10⁻⁷ precision threshold identified as the interesting-physics scale for sign-sensitive new physics in antimatter free fall. The macroscopic and matter-antimatter predictions reduce to a small set of operator-level lattice targets — fσ, ZT, the multi-pole trace correlator ΠT(q²), the per-channel APS spectral-asymmetry jumps ΔηAPS⁽ᵃ⁾, and the C-odd trace correlator difference on finite-μ ensembles — spelled out in the companion Lattice QCD Proposal v2.6. This document is a top-of-graph overview: the three-scale-plus-orientation architecture, the key quantitative predictions, the current derivation status of each ingredient, and the staged collaboration-first research roadmap, updated for v2.7 with the addition of the Anti-Gravity paper as the Scale-2.5 extension. 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 μ, the horizon-sector phase field σ, and the C-odd lift εI of the orientation extension, each explicitly labeled as such.