What question did this study set out to answer?

To mathematically address the Hubble tension by exploring the effects of phase resistance in a non-uniform cosmos.

April 21, 2026Open Access

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

Key Points

To mathematically address the Hubble tension by exploring the effects of phase resistance in a non-uniform cosmos.
Utilized Jensen's inequality to analyze cosmic expansion rates.
Calculated expansion rate in cosmic voids versus a homogeneous model based on CMB data.
Derived a local expansion value for H0.
Found a local expansion rate of H0 ≈ 74.07 km/s/Mpc.
Demonstrated alignment with independent supernova measurements.
Avoided the need for new physics in explaining Hubble tension.

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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