What question did this study set out to answer?

The aim is to resolve the Hubble tension by exploring phase resistance in a clumped universe.

April 21, 2026Open Access

Mathematical Resolution of the Hubble Tension via the Nonlinearity of Continuum Phase Resistance

Key Points

The aim is to resolve the Hubble tension by exploring phase resistance in a clumped universe.
Utilized Jensen's inequality to analyze expansion rates in cosmic voids.
Developed a mathematical model based on the hydro-elastic nature of the universe.
Derived a local expansion value of H0 ≈ 74.07 km/s/Mpc.
Results align with independent measurements from supernova data.

Abstract

This paper offers a mathematical resolution to the Hubble tension by accounting for the nonlinearity of phase resistance in a clumped universe. Using Jensen's inequality, we demonstrate that the expansion rate in cosmic voids exceeds the homogeneous baseline extrapolated from CMB data. The model analytically derives a local expansion value of H0 ≈ 74.07 km/s/Mpc, aligning precisely with independent supernova measurements without invoking new physics. This short communication is based on the comprehensive theoretical framework 'The Universe as a Hydro-Elastic 4D Mechanism' (Archived at Zenodo: DOI 10.5281/zenodo.19616545).

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Tomáš Novotný

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Mathematical Resolution of the Hubble Tension via the Nonlinearity of Continuum Phase Resistance

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Abstract

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