What question did this study set out to answer?

The aim is to provide a unified geometric framework that resolves key numerical inconsistencies in cosmology and particle physics.

April 29, 2026Open Access

"Four Numbers From One Principle: A Geometric Resolution of the Hubble Tension, Hierarchy Problem, Cosmological Constant, and Baryonic Asymmetry"

Key Points

The aim is to provide a unified geometric framework that resolves key numerical inconsistencies in cosmology and particle physics.
Developed a geometric theory based on Dynamical Abstract Spheres.
Derived ratios related to Hubble tension, hierarchy problem, cosmological constant, and baryonic asymmetry from first principles.
Established the Planck length as the minimum scale of spacetime, resulting in seven falsifiable predictions.
Resolved Hubble tension with a prediction of H_0 = 73.5 km/s/Mpc and a 5.1 sigma discrepancy.
Derived the hierarchy problem ratio as F_EM/F_grav = 1.235 × 10^36.
Showed that the cosmological constant problem's ratio does not require fine-tuning, equating it to the Universe's age in Planck units.

Abstract

We present a unified geometric explanation for four of the most intractable numerical puzzles in modern cosmology and particle physics: (1) Hubble tension (5. 1 sigma discrepancy): resolved with epsilon = 0. 029, predicting H₀ = 73. 5 km/s/Mpc from CMB data alone. (2) Hierarchy problem: the ratio FEM/Fgrav = alpha × (lambdaₚ/lP) ² = 1. 235 × 10³6 derived exactly from first principles. (3) Cosmological constant problem: the ratio rhoP/rhoLambda = (R₀/lP) ² ~ 10¹23 is not fine-tuning — it is the age of the Universe measured in Planck units. (4) Baryonic asymmetry: eta ~ 10^-10 derived from the topology of sphere eversion at the Big Bang, with no new particles. All four results emerge from a single principle: the Planck length lP is the minimum scale of spacetime — proven as a theorem (not postulated) in the framework of Dynamical Abstract Spheres (DAS). No free parameters. No new particles. No extra dimensions. Seven falsifiable predictions for experiments in 2025–2035. This preprint is part of the DAS series (Books 5–10), available on Zenodo.

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