Mass Redistribution Cosmology v1.0: Saturated Fabric Framework and Empirical Kernel Test

Mass Redistribution Cosmology v1.0: Saturated Fabric Framework and Empirical Kernel Test
Eric Petersen – June 2026

What if the dark sector isn’t two mysterious substances, but a single cosmic fabric that has been slowly stretched by the growth of black holes across cosmic history? And what if the acceleration we observe today is not a cosmological constant, but the saturated memory of that redistribution?

This release presents the Saturated Fabric Framework, a unified effective model in which dark matter and dark energy emerge as two phases of the same underlying medium. Black‑hole accretion acts as the trigger, converting clumped fabric into a smooth, saturated state that behaves exactly like ΛCDM at the background level, while leaving behind a tiny residual ripple with a characteristic shape tied to the black‑hole accretion history.

The package contains:

• Paper I – The Saturated Fabric Framework
  The full theoretical construction: exchange law, causal memory kernel, holographic saturation, coincidence problem narrative, nonlinear screening, and predictions across multiple channels.

• Paper II – Delayed Black‑Hole Accretion Kernel Test
  Empirical tests of the MRET kernel using:

  • Pantheon+ supernovae – full‑covariance binned analysis with ASN<0.14ASN<0.14 mag (95% CL), a clean null consistent with the predicted sub‑mmag ripple.

  • BOSS/eBOSS growth data – the MRET kernel shape is disfavoured ($\Delta \mathrm{AIC}=+10.1$), exactly as expected from nonlinear screening.

  • DESI 2024 evolving‑dark‑energy hint – the causal kernel predicts $w(z)$ crossing $-$1 at $z\approx 0.45$ without any parameter tuning, making a distinctive, falsifiable prediction for future surveys.

• Two fully reproducible Jupyter notebooks
  Notebook 1 reconstructs the full‑covariance binned supernova constraint using the official Pantheon+ STAT+SYS matrix.
  Notebook 2 runs a converged MCMC consistency check over (C,ASN,AG)(C,ASN,AG), confirming the null and mapping the calibration degeneracy.

Why this matters:

• Provides a causal, astrophysically grounded alternative to the cosmological constant.

• Offers a unified picture of the dark sector with no new particles.

• Makes a specific, parameter‑free prediction that will be tested by DESI, Euclid, and other upcoming surveys.

• Every result is transparent and reproducible – nulls and all.

The framework does not claim to replace ΛCDM. It claims to explain what ΛCDM has been describing all along.
Black holes are the engine. The fabric is the medium. The acceleration is the memory. The test has begun.