ffektive Perkolations-Kitaev-Lagrangedichte für den CMB-Phasenübergang bei ℓ < ℓ_H/e: F(ℓ) als Kink-Lösung, kritische Exponenten und fraktale Horizontdimension

This paper supplements Pavelec (2026, DOI: 10.5281/zenodo.20496448) by deriving the CMB modification function F(ℓ) as the kink solution of an effective Landau-Ginzburg field equation, rather than setting it phenomenologically. The critical multipole ℓ_crit = ℓ_H/e follows parameter-free from an entropy fixed point. A Kitaev coupling provides topological protection of the transition. The empirical fit parameter Δ_fit ≈ 0.725 is interpreted as an effective correlation length exponent ν_eff, implying a fractal effective dimension d_eff ≈ 2.74 of the horizon percolation structure — a new, independently testable prediction.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20939144
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
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article

ffektive Perkolations-Kitaev-Lagrangedichte für den CMB-Phasenübergang bei ℓ < ℓ_H/e: F(ℓ) als Kink-Lösung, kritische Exponenten und fraktale Horizontdimension

Mirko Pavelec
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Waves and Solitons
article

ffektive Perkolations-Kitaev-Lagrangedichte für den CMB-Phasenübergang bei ℓ < ℓ_H/e: F(ℓ) als Kink-Lösung, kritische Exponenten und fraktale Horizontdimension

Mirko Pavelec
article en

Abstract

This paper supplements Pavelec (2026, DOI: 10.5281/zenodo.20496448) by deriving the CMB modification function F(ℓ) as the kink solution of an effective Landau-Ginzburg field equation, rather than setting it phenomenologically. The critical multipole ℓ_crit = ℓ_H/e follows parameter-free from an entropy fixed point. A Kitaev coupling provides topological protection of the transition. The empirical fit parameter Δ_fit ≈ 0.725 is interpreted as an effective correlation length exponent ν_eff, implying a fractal effective dimension d_eff ≈ 2.74 of the horizon percolation structure — a new, independently testable prediction.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 6%
Nonlinear Waves and Solitons
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