Relaxation-Driven Cyclic Cosmology (RDCC) — Version v49. 0 Navigation Guide: Author: Michael Lehmann Overview--------This Zenodo collection contains the fully modernized RDCC framework in its Version v49. 0 form. All papers were modernized in two steps: first to Version 2. 0, and then to Version 2. 1. Thesetwo modernization phases unified the entire RDCC architecture, refined the theoreticalstructure, and aligned all components with the modern v49. 0 formulation. Modernization Summary---------------------1. Version 2. 0 Modernization: - Harmonized all Companions (I–XCVI) - Unified RDCC notation and terminology - Consolidated the effective field theory (EFT) structure - Introduced the bipartite Hilbert-space architecture - Clarified the relaxation dynamics (Gamma = beta * H) 2. Version 2. 1 Modernization: - Integrated the full v49. 0 structure - Updated the RDCC prediction vector - Introduced the renormalized relaxation kernel R (k, z;alpha) - Modernized the bounce mechanism (cuscuton-induced, ghost-free) - Added the diffuse gravitational shadow of the mirror sector - Updated the tensor sector (blue tilt, log-periodic modulation) - Unified the likelihood architecture and Fisher geometry - Integrated Euclid-level inference and the RDCC survey interface This collection represents the complete, coherent, and scientifically stable RDCC v49. 0framework — a one-parameter, CPT-symmetric, UV-stable cosmological model. ----------------------------------------------------------------------RDCC Navigation Map (Variant C – Main Structure): Cluster 1 — Foundations- Flagship Paper (RDCC: Complete Framework) - Companion I – Gravity as the Global Bridge- Companion II – CPT Geometry and Sectoral Projection- Companion III – Relaxation Dynamics and the Scalar Sector- Companion IV – Thermodynamic Arrow and Entropy Minimum Cluster 2 — Relaxation and EFT- Companion X – Microscopic Relaxation Dynamics- Companion X-b – Entanglement Thermodynamics- Companion X-c – UV Completion and EFT Interpretation- Companion VI – Generation and Freeze-Out of alphaIR Cluster 3 — Bounce and Phase-Space Stability- Companion V – RDCC Prediction Vector- Companions XI–XV – Bounce Stability, Cuscuton, NEC Violation Cluster 4 — Perturbations and Boltzmann Hierarchy- Companion VII – Boltzmann Hierarchy and Linear Perturbations- Companion XII – Tensor Sector (Blue Tilt) - Companion XIII – Log-Periodic SGWB Modulation Cluster 5 — Dark Matter and Gravitational Shadow- Companion I – Structural Origin of Dark Matter- Companion VII – Diffuse Gravitational Shadow Cluster 6 — Inference and Likelihood- Companion VIII – RDCC Likelihood Architecture- Companion IX – Numerical Likelihood Results- RDCC Summary Paper V3. 0 – Full RDCC Inference Framework Cluster 7 — Geometry, Topology, and Strong Gravity- Companions XC–XCVI – Geometry, Topology, Transport, Strong-Gravity Interfaces Cluster 8 — Euclid and Observational Interface- RDCC–Euclid Interface Paper V3. 0 – Survey-Ready Euclid Integration- Numerical Fits and Observational Constraints – Constraints on alphaIR ----------------------------------------------------------------------RDCC Navigation List (Variant A – Complete Reference List): Flagship Paper- Relaxation-Driven Cyclic Cosmology (RDCC): Complete Framework (Flagship Paper V2. 1) Companion I- Gravity as the Global Bridge in RDCC Companion II- CPT Geometry and Sectoral Projection Companion III- Relaxation Dynamics and the Scalar Sector Companion IV- Thermodynamic Arrow of Time and Entropy Minimum Companion V- The RDCC Prediction Vector Companion VI- Generation and Freeze-Out of the Relaxation Parameter alphaIR Companion VII- Boltzmann Hierarchy and Linear Perturbations in RDCC Companion VIII- RDCC Likelihood Architecture Companion IX- Numerical RDCC Likelihood Results Companion X- Microscopic Relaxation Dynamics Companion X-b- Entanglement Thermodynamics and the Relaxation Coefficient beta Companion X-c- UV Completion and EFT Interpretation of the Inter-Sector Operator Companions XI–XV- Bounce Stability, Cuscuton Dynamics, NEC Violation Companions XVI–LXXX- Sectoral Geometry, CPT Interfaces, Extended Bounce Analysis Companions LXXXI–XC- RDCC Geometry, Topology, Transport-Based Statistics Companions XC–XCVI- Strong-Gravity Interfaces, Black-Hole/White-Hole CPT Structure RDCC Summary Paper V3. 0- The RDCC Inference Framework: Geometry, Topology, Likelihoods, Forecasts RDCC–Euclid Interface Paper V3. 0- Survey-Ready Integration of RDCC into Euclid Pipelines Numerical Fits and Observational Constraints- Constraints on alphaIR from chi-square scan, MCMC, RSD, and CMB lensing ---------------------------------------------------------------------- Speculative Companion (Non-Predictive Document) Paper: RDCC – Speculative Extensions alphaIR). The framework provides natural mechanisms for: • the emergence of the thermodynamic arrow of time through sectoral projection • the replacement of the cosmological singularity by a nonsingular, cuscuton-induced CPT-symmetric bounce • the resolution of the Tolman low-entropy problem via maximal entanglement at the CPT fixpoint • the appearance of dark matter as the gravitational shadow of the CPT-conjugate sector • the apparent weakness of gravity through inter-sector energy distribution • the emergence of the invariant speed of light as a sectoral coherence boundary • late-time acceleration and the coincidence problem through freeze-out of the infrared relaxation parameter alphaIR • the horizon and flatness problems through global CPT coherence across the bounce • baryon asymmetry from asymmetric relaxation or projection effects • the strong CP problem through global CPT symmetry • global information conservation in the bipartite Hilbert space RDCC predicts correlated small deviations from ΛCDM, including: • a specific scalar spectral tilt • a dark-radiation excess • percent-level shifts in structure growth rates • characteristic oscillations in the stochastic gravitational-wave background • a turnover in the 21-cm power spectrum at the relaxation scale kᵣel • modified halo profiles and baryon fractions • delayed and smoother cosmic reionization These outcomes arise from a single structural postulate and one infraredparameter alphaIR, making RDCC a minimal, falsifiable extension of ΛCDM. ---------------------------------------------------------------------- Michael Lehmann 79730 Murg / Germany mi. lehmann@gmx. de
Michael Lehmann (Fri,) studied this question.