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Published March 6, 2026 | Version v2
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Circular Cosmology: Deriving Fundamental Constants from a Single Topological Axiom.

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Description

This paper presents a cosmological framework based on the single topological axiom: Infinity + Epsilon = 0. The dimensionless parameter Epsilon = 2lp/RH (approx. 2.453 x 10^-61) encodes the ratio of Planck to Hubble scales and constitutes the sole free parameter of the theory.

Key derivations include: * The cosmological constant Lambda = Epsilon^2 / lp^2, resolving the 121-order-of-magnitude discrepancy.

  • The fine structure constant alpha approx. 1/137.036 as a geometric ratio of SU(2) and SU(3) covering space volumes, with an error of 0.000061%. * The Koide ratio K = 2/3 exactly from Z3 symmetry on the fermionic covering circle. * Charged lepton masses (e, mu, tau) with a systematic error of 0.36%, linked to the current Hubble tension. * The MOND acceleration scale a0 = c*H0 / 2pi, derived from the cosmic circle frequency.

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