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March 7, 20260 citationsOpen Access

The Hubble Tension Dissolved H0(local)/H0(CMB) = 13/12 from the Projective Plane over F3

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DCDaniel Florin Cherloaba

Key Points

  • The central aim is to explore the ratio H0(local)/H0(CMB) and provide an explanation for the Hubble tension.
  • Analyzed the ratio H0(local)/H0(CMB) using projective geometry concepts.
  • Calculated the number of points in the projective plane over F3.
  • Connected mathematical structures to cosmological parameters, such as the Weinberg angle.
  • Established that H0(local)/H0(CMB) = 13/12 leads to a ratio of 1.083, closely matching observed values.
  • Identified that the discrepancy is not measurement error but due to lattice corrections.
  • Demonstrated connections between the ratio, the Weinberg angle, and Hamming codes.

Abstract

The Hubble tension—the persistent ∼ 5σ discrepancy between local (H0 ≈ 73 km/s/Mpc)and CMB-derived (H0 ≈ 67.4 km/s/Mpc) measurements of the Hubble constant—is the mosturgent crisis in modern cosmology. We show that the ratioH0(local)/H0(CMB) = 13/12, where 13 = |P2(F3)| is the number of points in the projective plane over F3 and 12 = π(9)/2 is half the Pisano period. The predicted ratio 1.083 matches the observed 73.0/67.4 = 1.08309 to 0.02%. The tension is not a measurement error—it is the lattice correction that ΛCDM does not model. We connect 13 to the Weinberg angle (sin2 θW = 3/13 at MZ ) and the Hamming code 13, 10, 33.

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Cite This Study

Daniel Florin Cherloaba (2026) studied this question.

synapsesocial.com/papers/69abc2725af8044f7a4ec0b4https://doi.org/10.5281/zenodo.18881706
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