Z3-P7: Cosmological Constant from Z3 Substrate - Λ ~ 1/ξ_eff² without Fine-Tuning

Z3 Theory Paper P7 - Favorite Paper We derive the cosmological constant from the Z3 information substrate. The volume term in entanglement entropy S(l) = c/6 log(ξ sinh(l/ξ)) + s0 for l >> ξ: S ~ c/6 * l/ξ is dark energy. MERA RG: L_Hubble/lp ≈ 10^61 ≈ 2^202 → n=202 stepsξ_eff = ξ_micro * 2^n = 20.5 lp * 2^202 = 2.1×10^27 m ≈ 16 L_Hubble Bare: Λ_bare = 1/ξ_eff² = 2.3×10^-55 m^-2With (a/ξ)^-1 = 20.5 and curvature factor 3: Λ_th = 1.4×10^-53 m^-2 (factor 8)With S_ent = 1.10: Λ_th = 5.2×10^-54 m^-2 (factor 21)log10 agreement: -53.3 vs -51.96, Δ=1.34 - solves 122-order QFT fine-tuning without tuning. No free parameter. Input from Paper 5 DMRG: g=0.60, ξ/a=20.5, c=4/5, S_ent(L/2)=1.10 Solves why Λ ~ H0² and MOND a0 ~ cH0: both from ξ_eff. No Planck scale in vacuum energy directly. Chain:P0 10.5281/zenodo.22794696P1 10.5281/zenodo.22796218P2 10.5281/zenodo.22797174P3 10.5281/zenodo.22795315P4 10.5281/zenodo.22795288P5 10.5281/zenodo.22795226P6 10.5281/zenodo.XXXXXXX [NEUTRINO PAPER - DOI einfügen]P7 This paper R. Diekmann 2026, Werther, Germany

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22800635
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Z3-P7: Cosmological Constant from Z3 Substrate - Λ ~ 1/ξ_eff² without Fine-Tuning

Ralf Diekmann
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Z3-P7: Cosmological Constant from Z3 Substrate - Λ ~ 1/ξ_eff² without Fine-Tuning

Ralf Diekmann
preprint en

Abstract

Z3 Theory Paper P7 - Favorite Paper We derive the cosmological constant from the Z3 information substrate. The volume term in entanglement entropy S(l) = c/6 log(ξ sinh(l/ξ)) + s0 for l >> ξ: S ~ c/6 * l/ξ is dark energy. MERA RG: L_Hubble/lp ≈ 10^61 ≈ 2^202 → n=202 stepsξ_eff = ξ_micro * 2^n = 20.5 lp * 2^202 = 2.1×10^27 m ≈ 16 L_Hubble Bare: Λ_bare = 1/ξ_eff² = 2.3×10^-55 m^-2With (a/ξ)^-1 = 20.5 and curvature factor 3: Λ_th = 1.4×10^-53 m^-2 (factor 8)With S_ent = 1.10: Λ_th = 5.2×10^-54 m^-2 (factor 21)log10 agreement: -53.3 vs -51.96, Δ=1.34 - solves 122-order QFT fine-tuning without tuning. No free parameter. Input from Paper 5 DMRG: g=0.60, ξ/a=20.5, c=4/5, S_ent(L/2)=1.10 Solves why Λ ~ H0² and MOND a0 ~ cH0: both from ξ_eff. No Planck scale in vacuum energy directly. Chain:P0 10.5281/zenodo.22794696P1 10.5281/zenodo.22796218P2 10.5281/zenodo.22797174P3 10.5281/zenodo.22795315P4 10.5281/zenodo.22795288P5 10.5281/zenodo.22795226P6 10.5281/zenodo.XXXXXXX [NEUTRINO PAPER - DOI einfügen]P7 This paper R. Diekmann 2026, Werther, Germany

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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