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

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 (w_DE > -1) and eternal expansion-contraction cycles. A CPT-conjugate mirror sector provides cold dark matter and resolves baryon asymmetry (η_B ≈ 6.1×10^{-10}, Ω_DM/Ω_b ≈ 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 (n_s ≈ 0.964) and tensor knick structures in GW spectrum (LISA/PTA-testbar).
- Refined mirror-sector microphysics: Boltzmann equations for decoupling, precise ΔN_eff < 0.1, and BAO modulation from mirror acoustics (Euclid-testbar).
- Detailed 21-cm cosmology: Relaxation modulates spin temperature and reionization, leading to shifted global dip and power-spectrum flattening (SKA/HERA-testbar).

The model avoids singularities, entropy divergence, flatness issues, inflation, and modified gravity. It aligns with Planck, DESI DR2 evolving dark energy hints, and upcoming data from Euclid, JWST, and LHC.

Falsifiability: No GW echoes/knick (LISA/LIGO), no BAO-modulation (Euclid), ΔN_eff > 0.1 (CMB-S4/BBN), incorrect η_B or Ω_DM/Ω_b, 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 Lehmann
mi.lehmann@gmx.de