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Relaxation-Driven Cyclic Cosmology (RDCC) v21.0 - solves the near-adiabaticity puzzle

Authors: Lehmann, Michael;

Relaxation-Driven Cyclic Cosmology (RDCC) v21.0 - solves the near-adiabaticity puzzle

Abstract

This document presents v21.0 of Relaxation-Driven Cyclic Cosmology (RDCC), a minimal and nonsingular cosmological framework where the Universe undergoes an infinite sequence of smooth contraction and expansion phases. Formulated entirely within standard General Relativity and a single complex scalar field, RDCC incorporates the leading Planck-suppressed interaction between two CPT-conjugate sectors sharing the same spacetime metric. This two-sector structure replaces the assumption of a globally directed time with a CPT-symmetric description, making thermodynamic arrows, entropy production, and matter-antimatter asymmetries emergent, sector-dependent phenomena. The global system remains entropy-conserving, resolving the Tolman entropy problem without inflation, modified gravity, or additional fields. The scalar potential features a radiatively tilted double-well structure augmented by an ekpyrotic term dominant during contraction. Combined with bounded effective Friedmann corrections from the EFT expansion, these elements produce a smooth, ghost-free bounce with finite curvature invariants. The ekpyrotic phase generates a nearly scale-invariant spectrum of curvature perturbations, while the Planck-suppressed cross-sector interaction damps isocurvature modes as a^{-α}, driving the Universe toward near-adiabaticity. A key outcome of the relaxation mechanism is a temperature asymmetry between sectors, naturally yielding the observed dark-matter-to-baryon ratio through exponential sensitivity to the relaxation parameter α. This parameter also induces small, correlated deviations from ΛCDM in growth rates and the matter power spectrum, plus a modest ∆N_eff contribution. RDCC provides a unified explanation for nonsingular evolution, dark matter, baryon asymmetry, the thermodynamic arrow, and primordial near-adiabaticity. Its predictions, derived from a single infrared parameter, are testable with upcoming large-scale structure and CMB experiments, offering a structurally simple yet observationally rich alternative to standard cosmology. Changes from v20.0: Enhanced emphasis on EFT consistency with dimension-8 operators and positivity bounds; explicit resolution of the near-adiabaticity puzzle via isocurvature damping; refined perturbation theory and phenomenological predictions. 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 Relaxation-Driven Cyclic Cosmology (RDCC) v13.0: Quantum Completion, Global Consistency, and Predictive Cosmology https://zenodo.org/records/18348450 Relaxation-Driven Cyclic Cosmology (RDCC) v14.0: Unified Quantum Gravity, Full-Cycle Simulation, and Multi-Messenger Precision Cosmology https://zenodo.org/records/18351916 Relaxation-Driven Cyclic Cosmology (RDCC) v15.0: Mirror-Sector Cosmology, Hidden-Universe Gravitational Waves, and Two-Sector Evolution https://zenodo.org/records/18358095 Relaxation-Driven Cyclic Cosmology (RDCC) v16.0: Precision Two-Sector Dynamics, Mirror Thermodynamics Refinements, and Enhanced GW Forecasts https://zenodo.org/records/18388123 Relaxation-Driven Cyclic Cosmology (RDCC) v17.0 - Minimal Effective Two-Sector Version https://zenodo.org/records/18761806 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

Keywords

Quantum Gravity, Planck, BBN, MCMC, stochastic gravitational wave background, bounce-black hole correspondence, black hole information paradox, entropy dynamics, General Relativity and Quantum Cosmology, ΔN_eff, 21-cm cosmology, SGWB, two-sector cosmology, Hubble tension, Theoretical Physics, structure formation, CMB-S4, dark energy, DESI DR2, CPT symmetry, Cosmology, PTA, entropy regulator, black hole echoes, observational pipelines, gravitational waves, forecasts, full-cycle simulation, black hole bounce duality, baryon asymmetry, Astrophysics and Astronomy, BBN compatibility, JWST, HERA, multi-cycle stability, multi-probe confrontation, multi-messenger forecasts, data confrontation, dark matter, mirror black holes, cyclic cosmology, Relaxation-Driven Cyclic Cosmology, nonsingular bounce, SKA Phase 1/2, 21-cm reionization, parameter inference, High Energy Astrophysical Phenomena, LISA, RDCC, SKA, CPT-symmetric universe, Euclid, full simulations, evolving dark energy, quantum-geometric completion, small-scale structure, BH echoes, hidden universe, Relaxation-Driven Cyclic Cosmolog, naturalness, RDCC-CLASS integration, Cosmology and Nongalactic Astrophysics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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