Z3-P9: Dirac Large Number from Z3 Substrate - 2^133 ≈ 10^40 from MERA without Coincidence

Z3 Theory Paper P9 - Dirac Large Number Hypothesis solved Derives Dirac's 10^40 coincidences from Z3 MERA structure. MERA steps n=133 (electroweak to Planck) and n=202 (Hubble) give 2^133 ≈ 10^40. Dirac Number 1: F_electric / F_gravity = e²/(G m_e m_p) ~ 10^40 = 2^133 / (xi/a) from Z3 overlap.Dirac Number 2: L_Hubble / r_electron ~ 10^40 = 2^202 / 2^69 from MERA.Dirac Number 3: N_particles ~ 10^80 = (2^133)² from entanglement volume. No coincidence: All 10^40 from 2^n with n=133 from RG flow g=0.60 critical point. Ratio Lambda / alpha / G unified via xi_eff. No free parameter. Input from P5 DMRG: xi/a=20.5, Sent=1.10. From P7: xi_eff=2.1e27m. From P8: alpha^{-1}=128. Solves Dirac hypothesis: Large numbers are MERA powers of 2. 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.22799101P7 10.5281/zenodo.XXXXXXX [P7 DOI]P8 10.5281/zenodo.XXXXXXX [P8 DOI]P9 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.22800947
Primary Topic
International Science and Diplomacy
Type
preprint
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preprint

Z3-P9: Dirac Large Number from Z3 Substrate - 2^133 ≈ 10^40 from MERA without Coincidence

Ralf Diekmann
Zenodo (CERN European Organization for Nuclear Research)
International Science and Diplomacy
preprint

Z3-P9: Dirac Large Number from Z3 Substrate - 2^133 ≈ 10^40 from MERA without Coincidence

Ralf Diekmann
preprint en

Abstract

Z3 Theory Paper P9 - Dirac Large Number Hypothesis solved Derives Dirac's 10^40 coincidences from Z3 MERA structure. MERA steps n=133 (electroweak to Planck) and n=202 (Hubble) give 2^133 ≈ 10^40. Dirac Number 1: F_electric / F_gravity = e²/(G m_e m_p) ~ 10^40 = 2^133 / (xi/a) from Z3 overlap.Dirac Number 2: L_Hubble / r_electron ~ 10^40 = 2^202 / 2^69 from MERA.Dirac Number 3: N_particles ~ 10^80 = (2^133)² from entanglement volume. No coincidence: All 10^40 from 2^n with n=133 from RG flow g=0.60 critical point. Ratio Lambda / alpha / G unified via xi_eff. No free parameter. Input from P5 DMRG: xi/a=20.5, Sent=1.10. From P7: xi_eff=2.1e27m. From P8: alpha^{-1}=128. Solves Dirac hypothesis: Large numbers are MERA powers of 2. 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.22799101P7 10.5281/zenodo.XXXXXXX [P7 DOI]P8 10.5281/zenodo.XXXXXXX [P8 DOI]P9 This paper R. Diekmann 2026, Werther, Germany

Zenodo (CERN European Organization for Nuclear Research)
International Science and Diplomacy
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