What question did this study set out to answer?

The research aims to resolve the Hubble tension between local and cosmic measurements of the Hubble constant.

May 22, 2026Open Access

Paper XXXV of the Brane-Bulk Series The Hubble Tension as T1 Recovery: Tₛump Derivation and the Local H0 Gradient B. D. Jagadeesan, MD

Key Points

The research aims to resolve the Hubble tension between local and cosmic measurements of the Hubble constant.
Derivation of H0 from T_sump, the sump relaxation time in the brane-bulk framework.
Analysis of baryonic overdensity's effect on local T_sump and Hubble constant.
Comparison between global and local Hubble constants to identify discrepancies.
Local Hubble constant (H0,local) determined to be 73.0 ± 1.0 km/s/Mpc compared to global Hubble constant (H0,global) of 67.4 ± 0.5 km/s/Mpc.
The difference in sump relaxation times (∆T_sump = 11.81 Gyr) correlates with local structure formation.
The study concludes that the Hubble tension is related to T1 recovery gradients rather than new physical phenomena.

Abstract

The 6σ Hubble tension the discrepancy between H0 = 73. 0 ± 1. 0 km/s/Mpc (SH0ES, local distance ladder) and H0 = 67. 4 ± 0. 5 km/s/Mpc (Planck CMB) is resolved as a T1 recovery gradient in the brane-bulk sump framework. The Hubble constant H0 = c/Tₛump where Tₛump is the sump relaxation time. The global sump equilibrium time Tₛump, global = 72. 65 Gyr gives H0 = 67. 4 km/s/Mpc (CMB epoch average). The local Hubble volume (~100 Mpc radius) contains a baryonic overdensity relative to the cosmic mean, which perturbs the local sump T1 recovery and shortens the local relaxation time to Tₛump, local = 60. 84 Gyr, giving H0, local = 73. 0 km/s/Mpc (SH0ES). The dierence ∆Tₛump = 11. 81 Gyr corresponds to the lookback time to local structure formation. No new physics is introduced: the Hubble tension is the local/global T1 recovery gradient the sump has not yet reached global equilibrium. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10. 5281/zenodo. 19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M. D. , University of Minnesota. ORCID: 0000-0002-1143-941X.

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