What question did this study set out to answer?

The research aims to investigate how a fraction of the entropy spectrum is preserved during cosmological bounces and its implications for structure formation.

February 25, 2026Open Access

Residual Entropy Spectrum: Holographic Memory and Cycle-to-Cycle Information Transfer in Bouncing Cosmology

Key Points

The research aims to investigate how a fraction of the entropy spectrum is preserved during cosmological bounces and its implications for structure formation.
Calibrated entropy spectrum fraction against observations
Derived C_univ from quantum error correction code (QECC) bond dimensions
Identified the viability window for cosmological parameters
C_univ was found to be 0.24 ± 0.06, consistent with theoretical value of 0.25
The 3.3% viability window corresponds to a specific attractor basin
Residual entropy spectrum serves as a seed for structure formation without the need for inflaton field

Abstract

We establish that a fraction Cᵤniv of the entropy spectrum survives each cosmological bounce, calibrated against observations and independently derived from QECC bond dimensions (Cᵤniv = 0. 24 ± 0. 06, consistent with the exact value 1/ (d+1) = 0. 25 from Paper VII). We identify the 3. 3% viability window for cosmological parameters and show it corresponds to the attractor basin proven in Paper IV. The residual entropy spectrum provides the seed for structure formation without requiring an inflaton field. Part II of VII.

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