Relaxation-Driven Cyclic Cosmology (RDCC) v13.0: Quantum Completion, Global Consistency, and Predictive Cosmology

Relaxation-Driven Cyclic Cosmology (RDCC) v13.0: Quantum Completion, Global Consistency, and Predictive Cosmology

This release completes RDCC with quantum completion of the bounce (bounce-operator in Hilbert space, BH-bounce duality), global consistency conditions (multi-cycle stability over 10–100 cycles, entropy flows, BBN stability), RDCC–CLASS v2.0 (full Boltzmann integration, modified recombination, sound horizon r_s, growth factor D(z), CMB/matter power spectra), structure formation v4.0 (dwarf-galaxy predictions, high-z population), 21-cm v4.0 (reionization history, bubble morphology), and GW v4.0 (bounce-GW spectrum).

The nonsingular, eternally cyclic model uses a single effective complex scalar field Φ in a tilted double-well potential, driving dynamic dark energy (w_DE > -1) and eternal 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).

Falsifiability: Entropy accumulation over cycles, ΔN_eff > 0.1 (BBN), ghosts/instabilities in EFT, fine-tuning of ρ_DE, no GW echo correlations (LISA/LIGO), no 21-cm flattening (SKA/HERA).

This version builds on:

Relaxation-Driven Cyclic Cosmology (RDCC) v1.0: A Minimal Eternal Framework and Its Dynamical Realization: https://zenodo.org/records/18281686

Relaxation-Driven Cyclic Cosmology (RDCC) v2.0: A Minimal Eternal Framework with Dynamical Realization and Extensions: https://zenodo.org/records/18304744

Relaxation-Driven Cyclic Cosmology (RDCC) v5.0: Bounce-Matching Formalism, Mirror-Sector Dynamics, and Refined Gravitational Waves: https://zenodo.org/records/18307836

Relaxation-Driven Cyclic Cosmology (RDCC) v6.0: Black Hole Bounces as Local CPT-Fixpoints, Full Perturbation Transfer Matrix and Mirror-Sector Microphysics: https://zenodo.org/records/18312656

Relaxation-Driven Cyclic Cosmology (RDCC) v7.0: Quantum-Corrected Black Hole Bounces, Full Perturbation Transfer Matrix with Phase-Shift, and Mirror Microphysics  https://zenodo.org/records/18327084

Relaxation-Driven Cyclic Cosmology (RDCC) v8.0: Parameter Space Exploration, Data Confrontation, and Predictive Structure Formation  https://zenodo.org/records/18334398

Relaxation-Driven Cyclic Cosmology (RDCC) v9.0: Predictive Cosmology, Nonlinear Structure Formation, and Astrophysical Signatures  https://zenodo.org/records/18336237

Relaxation-Driven Cyclic Cosmology (RDCC) v10.0: Unified Cosmology, Full Simulations, and Observational Pipelines  https://zenodo.org/records/18336865

Relaxation-Driven Cyclic Cosmology (RDCC) v11.0: Entropy Dynamics, Mirror Thermodynamics, EFT Consistency, and Naturalness  https://zenodo.org/records/18341147

Relaxation-Driven Cyclic Cosmology (RDCC) v12.0: Precision Predictions, Multi-Probe Confrontation, and Quantum-Geometric Completion  https://zenodo.org/records/18346555

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