What question did this study set out to answer?

The aim is to address the discrepancy between early and late universe measurements of the Hubble constant.

February 26, 2026Open Access

Unifying the Hubble Expansion: The Manifold Scroll Hypothesis (MSH) v4.0 - A High-Precision Geometric Solution to the H₀ Tension with Peculiar Velocity Integration

Key Points

The aim is to address the discrepancy between early and late universe measurements of the Hubble constant.
Formulated the Manifold Scroll Hypothesis (MSH) v4.0 with a layered manifold model.
Introduced a position-dependent expansion metric H(z, RA, Dec).
Integrated local peculiar velocity corrections (γ = 0.92).
Tested against a catalog of 200 galaxies.
Achieved a mean absolute error (MAE) of 0.68 km/s/Mpc.
Eliminated systemic residuals found in the ΛCDM model.
Provided a seamless transition from Planck measurements (67.36) to local SH0ES values (73.04).

Abstract

The discrepancy between early-universe and late-universe measurements of the Hubble constant, known as the "Hubble Tension," has reached a significance of >5σ. This paper presents the definitive formulation of the Manifold Scroll Hypothesis (MSH) v4.0. We propose that the universe operates as a layered manifold unwinding anisotropically. By introducing a position-dependent expansion metric H(z, RA, Dec) and integrating local peculiar velocity corrections (γ = 0.92), we eliminate the systemic residuals found in the ΛCDM model. Testing against a catalog of 200 galaxies, the MSH v4.0 achieves an unprecedented mean absolute error (MAE) of 0.68 km/s/Mpc, providing a seamless bridge from the Planck base (67.36) to the local SH0ES measurements (73.04).

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