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Dark Energy from Weak-Interaction Phase Selection in the Universal Topological Impedance Framework

Authors: Gu, Christopher;

Dark Energy from Weak-Interaction Phase Selection in the Universal Topological Impedance Framework

Abstract

STAY CURRENT All current versions of the UTI framework papers are available here: https://linktr.ee/uti_papers VERSION 2.5 Author: Christopher Gu [ georgeguiscool@gmail.com ] Software Developer based in El Monte, California, USAApril 2026 Abstract The Universal Topological Impedance (UTI) framework derives a short-range scalar η from the QCD trace-trace correlator in the scalar-isoscalar 0++ channel, with characteristic mass mη ≈ 450 MeV and correlation length ξη = ℏc/mη ≈ 0.44 fm. Impedance Contrast Theory (ICT) identifies the de Sitter horizon as the infrared scale setting the transition acceleration a0 = cH0/(2π). We combine these two inputs into a constructive Scale-4 model of dark energy in which a collective horizon phase ΘH(t) is introduced as the zero mode of a postulated horizon-sector phase variable whose coupling to bulk physics is through the trace-channel spectral-asymmetry of local weak and hadronic events rather than through direct bulk propagation of the short-range η field, and the dark-energy density is identified with a periodic horizon-boundary potential ρΛ = χH(1 − cos ΘH), where χH has units of energy density. We establish four quantitative results. (i) The horizon cell count from the UTI coherence length: Ncell = 2(c/H0ξη)^2 = 1.82 × 10^83. (ii) The horizon susceptibility scale from the chirally-suppressed part of the QCD trace anomaly: EχH ≡ χH^(1/4) ≈ √(m̄q·ΛQCD) ≈ 26.5 MeV, which with EΛ = 2.30 meV gives ΘH ≈ 1.1 × 10^−20. (iii) A conditional derivation of the leading even-order structure of the per-event APS spectral-asymmetry shift, ΔηAPS(a) = Ca(ΔMtr(a)/mη)^2 + O((ΔMtr/mη)^4), from the Bismut–Freed first-variation identity under the explicit spectral-symmetry assumption JD0J^−1 = −D0, JVJ^−1 = +V, together with pole-dominance estimates of the channel-dependent coefficients Ca giving CHe ~ 0.3, Cα ~ 0.1, Cβ ~ 0.03, and Ca ≥ 0 for coherent trace-channel-building transitions. (iv) A computation of the present-day adiabatic ratio Θ̇H/(HΘH) ≈ 4 × 10^−4, yielding a predicted deviation from a pure cosmological constant of |weff+1| ≈ 2 × 10^−4 (with a factor-of-several theoretical uncertainty band, Section 9.1) — consistent with current Planck+DESI bounds and potentially detectable by next-generation surveys. Fluctuations across the Ncell independent horizon domains are suppressed on the l=0 projection by a factor √Neff/Ncell ≈ 10^−40, giving a coherent horizon-phase signal-to-noise ratio ≈ 10^39. Within the present phenomenological Scale-4 ansatz, the dark-energy problem is reduced to a sharply defined operator problem: compute the trace-channel spectral-asymmetry shift per weak or hadronic event. NOTE This paper essentially replaces Dark Energy from Topological Decay - https://zenodo.org/records/19391183

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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!
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