DCT-ADC-01 · DCT cluster

Anti-dimension cosmology: DM, Λ, η_B, hierarchy, splashback

First geometric derivation of Ω_DM/Ω_b = 27/5 (0.10σ), Λ ~ 3×10⁻¹²² (order-of-magnitude), splashback R_sp = P₀^{3/5} = 0.9075 (0.95σ), and the apparent w_a = −0.714 from growth–geometry tension (0.20σ).

Nolan G. Parrott ORCID 0009-0009-8794-2589 Reserved DOI: pending deposit

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In one sentence: First geometric derivation of Ω_DM/Ω_b = 27/5 (0.10σ), Λ ~ 3×10⁻¹²² (order-of-magnitude), splashback R_sp = P₀^{3/5} = 0.9075 (0.95σ), and the apparent w_a = −0.714 from growth–geometry tension (0.20σ).

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Abstract

The v9 anti-dimension cosmology paper derives, from the β_up = 3/5 = V/F dual coupling: (1) Ω_DM/Ω_b = 9·β_up = 27/5 = 5.400 — 0.10σ vs Planck PR3 (5.394 ± 0.065); first geometric derivation of the dark-matter / baryon ratio. (2) Λ ~ (φ²+φ⁻²)·10⁻⁽¹²⁰⁺χ⁾ ≈ 3×10⁻¹²² in Planck units — order-of-magnitude derivation of the cosmological constant from the icosahedral primitives. The exponent |2I|+χ = 122 in log₁₀ is exact. (3) Splashback R_sp/R_200m = P₀^{β_up} = 0.851^{3/5} = 0.9075 — 0.95σ vs More+2015 (0.91 ± 0.02);. (4) Apparent w_a = −Δγ/0.21 = −0.714 — growth-geometry signature on a stable ΛCDM background, reproducing the DESI Y3 apparent w_a at 0.20σ (Linder mapping);. (5) EW hierarchy m_W²/M_Pl² ~ 10⁻³⁴ via geometric suppression chain. (6) η_B = (2/|2I|)·exp(−Σ'/n_irreps) = 6.174×10⁻¹⁰; 0.95σ vs PDG 6.10×10⁻¹⁰. All derivations verified by.

Keywords

anti-dimensionβ_updark matter ratiocosmological constantsplashbackapparent w_abaryon asymmetryEW hierarchy

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