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A Geometric Resolution of the Hubble Tension: Dark-Energy and Dark-Matter Unification via Parent-Proton Mergers in the ODTOE Matryoshka — Overview

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Geometric mechanism simultaneously resolving cosmological constant problem and H₀ tension within single one-parameter framework. Postulate of Geometric Primacy

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Geometric mechanism simultaneously resolving cosmological constant problem and H₀ tension within single one-parameter framework. Postulate of Geometric Primacy (GP) fixes asymptotic dark-sector attractor φ²:1:Z as topological invariant. Hubble tension between Planck 2018 H₀=67.4 and SH0ES H₀=73.04 at ~5σ level. Dark energy identified with merger process of parent-protons at level d=12. Merger rate regulated by scalar field χ(x,t). Three claims: χ-regimes classify expansion histories; anisotropic Δχ reproduces H₀ tension; dark sector unified with Ω_DM and Ω_Λ as two aspects of 2%-residue (π−3)². Merger limit N^{local}_{max}=Ω_DM/(π−3)²≈13.12. Single fitting parameter η.

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