What question did this study set out to answer?

This work aims to provide numerical predictions from the Dynamical Fourier Field model and evaluate its consistency with observational data.

April 18, 2026Open Access

The Dynamical Fourier Field Resolution of the Hubble Tension: Coherence Decay, Residual Spectral Force, and the Elimination of Dark Matter Part II: Numerical Predictions and Observational Tests

Key Points

This work aims to provide numerical predictions from the Dynamical Fourier Field model and evaluate its consistency with observational data.
Developed numerical predictions based on the DFF cosmological model.
Used the modified Friedmann equation with a specified coherence power-law index.
Compared model predictions directly against current astronomical observations.
The model predicts a coherence power-law index of αC = 0.03525.
Observed Hubble tensions were quantified with Hlocal0 = 73.50 km s−1 Mpc−1 and HCMB0 = 67.24 km s−1 Mpc−1.
Findings suggest elimination of free parameters strengthens the model's predictions.

Abstract

Building on the theoretical foundations established in Part I 1, we present the completenumerical predictions of the Dynamical Fourier Field (DFF) cosmological model and com-pare them directly to current observations. The DFF modified Friedmann equation, derivedfrom the spectral action principle, is fully specified by a single structural parameter — thecoherence power-law index αC = 0.03525 — that is fixed entirely by the observed Hubbletension (Hlocal0 = 73.50 km s−1 Mpc−1 vs. HCMB0 = 67.24 km s−1 Mpc−1) with no additionalfree parameters.

The Dynamical Fourier Field Resolution of the Hubble Tension: Coherence Decay, Residual Spectral Force, and the Elimination of Dark Matter Part II: Numerical Predictions and Observational Tests

Key Points

Abstract

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