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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

Companion Lattice Proposal to UTI v2.6, Impedance Contrast Theory v2.6 and Dark Energy v2.6

Abstract

The UTI-ICT-Dark-Energy trilogy reduces a set of macroscopic gravitational and cosmological observables to a small number of well-defined QCD trace-channel quantities: the residue f_sigma = <0|T|sigma> of the lowest scalar-isoscalar 0++ pole, the canonical-normalization factor Z_T of the pole-dominant quadratic form, the full vacuum-subtracted trace-trace correlator Pi_T(q^2), and the per-transition spectral-asymmetry shifts Delta eta_APS^(a) for hadronic and weak processes. Together with the Einstein equations and de Sitter geometry as background structure, these objects fix the canonical coupling g_eta = f_sigma / Z_T^(1/2) of UTI v2.6, the horizon cell count N_cell from xi_eta = hbar c / m_eta in Dark Energy v2.6, the transduction coefficient kappa_HB currently extracted by event-budget inversion, the channel-dependent overlap coefficients C_a currently estimated by pole dominance, and the predicted dark-energy equation-of-state deviation |w_eff + 1| ~ 2 x 10^-4 (band [10^-4, 10^-3]). This short proposal outlines the minimal, high-impact lattice-QCD computations required to convert these quantities from inverse phenomenology into first-principles numbers. All calculations use the gradient-flow energy-momentum tensor (Suzuki scheme [1]) already employed in recent trace-anomaly and EMT form-factor studies. The required resources are modest: existing gauge ensembles at the physical pion mass, standard gradient-flow infrastructure, and a few thousand core-hours on a public ACCESS or USQCD allocation; no new gauge generation is required.