What question did this study set out to answer?

The study aims to present advancements in Relaxation-Driven Cyclic Cosmology and explore implications of black hole dynamics within this framework.

January 22, 2026Open Access

Relaxation-Driven Cyclic Cosmology (RDCC) v6.0: Black Hole Bounces as Local CPT-Fixpoints, Full Perturbation Transfer Matrix, and Mirror-Sector Microphysics

Key Points

The study aims to present advancements in Relaxation-Driven Cyclic Cosmology and explore implications of black hole dynamics within this framework.
Developed a model based on a complex scalar field in a tilted potential.
Introduced black holes as local CPT-symmetric bounces with new metrics and radiation dynamics.
Expanded analyses to perturbation transfer matrices and mirror sector microphysics.
Applied Boltzmann equations for dark matter decoupling and explored effects in 21-cm cosmology.
Demonstrated dynamic dark energy leading to eternal cycles of expansion and contraction.
Found testable predictions like QNM echoes and gravitational wave (GW) anisotropies.
Highlighted precise values for baryon asymmetry and dark matter to baryon density ratios.
Showed modulation effects of mirror acoustics on the power spectrum.

Abstract

Relaxation-Driven Cyclic Cosmology (RDCC) v6. 0: Black Hole Bounces as Local CPT-Fixpoints, Full Perturbation Transfer Matrix, and Mirror-Sector Microphysics This major release (v6. 0) advances the nonsingular, eternally cyclic RDCC model based on a single effective complex scalar field Φ in a tilted double-well potential (tilt from radiative Coleman–Weinberg corrections). Field relaxation drives dynamic dark energy (wDE > -1) and eternal expansion-contraction cycles. A CPT-conjugate mirror sector provides cold dark matter and resolves baryon asymmetry (ηB ≈ 6. 1×10^-10, ΩDM/Ωb ≈ 5. 38), preserving global CPT symmetry exactly. Key innovations in v6. 0: - Black holes as local CPT-symmetric mini-bounces: Interior metric with sectoral leakage of Hawking radiation resolves the information paradox. Testable signatures: QNM echoes and GW anisotropies (LIGO/Virgo). - Full perturbation transfer matrix across the bounce: CPT-matching ensures scale-invariance (nₛ ≈ 0. 964) and tensor knick structures in GW spectrum (LISA/PTA-testbar). - Refined mirror-sector microphysics: Boltzmann equations for decoupling, precise ΔNₑff 0. 1 (CMB-S4/BBN), incorrect ηB or ΩDM/Ωb, no 21-cm flattening (SKA/HERA). This version builds on v5. 0 (Zenodo 10. 5281/zenodo. 18307836) and the full RDCC ecosystem (starting from v1. 0–v3. 0 at https: //zenodo. org/records/18204087). Full LaTeX source and code snippets in Appendix. While the core of RDCC remains a structural, timeless framework with fixpoint character, this document explores a dynamical realization of the bounce mechanism to enable concrete, falsifiable predictions. Related documents and the full RDCC ecosystem are available via Zenodo: https: //zenodo. org/records/18204087 Michael Lehmannmi. lehmann@gmx. de

Relaxation-Driven Cyclic Cosmology (RDCC) v6.0: Black Hole Bounces as Local CPT-Fixpoints, Full Perturbation Transfer Matrix, and Mirror-Sector Microphysics

Key Points

Abstract

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