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January 24, 20260 citationsOpen Access

Relaxation-Driven Cyclic Cosmology (RDCC) v8.0: Parameter Space Exploration, Data Confrontation, and Predictive Structure Formation

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MLMichael Lehmann

Key Points

  • This research aim is to deepen the understanding of Relaxation-Driven Cyclic Cosmology (RDCC) v8.0 and its predictive capabilities.
  • Full parameter space analysis including λ, v, ε, ξ from observational data (Planck, DESI DR2, Euclid, LISA).
  • Direct confrontation of RDCC with ΛCDM models, assessing Hubble tension and BAO scales.
  • Detailed predictions for 21-cm signals and structure formation dynamics.
  • Successful parameter space identification that preserves CPT symmetry and resolves baryon asymmetry.
  • Confrontation findings suggest a Hubble constant fit of H_0 ≈ 70–73 km/s/Mpc.
  • Predicted shifts in global dip and power spectrum for future observations with SKA/HERA.

Abstract

Relaxation-Driven Cyclic Cosmology (RDCC) v8. 0: Parameter Space Exploration, Data Confrontation, and Predictive Structure Formation This quantitative deepening of RDCC (v8. 0) focuses on data confrontation and predictive power. The nonsingular, eternally cyclic model uses a single effective complex scalar field Φ in a tilted double-well potential (tilt from radiative Coleman–Weinberg corrections), driving dynamic dark energy (wDE > -1) and eternal 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. Key features in v8. 0: - Full parameter space analysis (λ, v, ε, ξ) with allowed regions from Planck, DESI DR2, Euclid, and LISA. - Direct RDCC vs. ΛCDM confrontation: Hubble tension fit (H₀ ≈ 70–73 km/s/Mpc), S₈ ≈ 0. 78 (growth modulation), BAO scales (rₛ ≈ 147 Mpc), ISW excess ~12. 4% (CMB-S4 forecast). - Detailed 21-cm predictions: shifted global dip (~50 mK) and power-spectrum flattening on large scales (SKA/HERA Mid-Array 2028+). - Predictive structure formation: modulated growth factor D (z) and halo mass function shift (Euclid LSS). The model avoids singularities, entropy divergence, flatness issues, inflation, and modified gravity. It positions RDCC as a minimal, data-confronted alternative to ΛCDM. Falsifiability: No GW echoes (LISA/LIGO), S₈ mismatch (Euclid), no BAO modulation (Euclid), ΔNₑff > 0. 1 (CMB-S4/BBN), no 21-cm flattening (SKA/HERA). Builds on v7. 0 (Zenodo 10. 5281/zenodo. 18327084) and the full RDCC ecosystem. Full LaTeX source and code snippets in Appendix. 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 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

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Michael Lehmann (2026) studied this question.

synapsesocial.com/papers/6974616cbb9d90c67120b4a4https://doi.org/10.5281/zenodo.18334398
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