Relaxation-Driven Cyclic Cosmology (RDCC) v34.0 - a minimal CPT-symmetric, two-sector extension of ΛCDM. What is new in v34.0 compared to v33.0: • Expanded to 41 pages with professional typesetting and 23 new high-quality figures• Full integration of the former companion paper “Gravity as the Global Bridge” into a new dedicated Section 4• New Executive Summary and clearer overall structure for better readability• Complete nomenclature tables (List of Symbols + List of Acronyms)• New figures illustrating bipartite Hilbert-space structure, global entropy evolution, relaxation as entanglement leakage, cuscuton origin, effective Newton constant, gravitational shadow, and tensor spectra• Analytical derivation of the log-periodic gravitational-wave oscillations (now with explicit formula)• Enhanced phase-space stability analysis and bounce conditions• Updated phenomenology section with sharper falsifiability criteria and new 21-cm signatures• Improved visual presentation and cross-references throughout the paper ------------------------------------------------------------------- Companion Paper I: Gravity as the Global Bridge in RDCC The companion paper provides the formal mathematical foundation underlying RDCC. It develops the structural role of gravity in a bipartite CPT-symmetric Universe and derives the key equations used in v33.0. Highlights include: • Variation of the global Einstein–Hilbert action in a two-sector Hilbert space. • Derivation of the effective Newton constant Geff = GN / (1 + ρ– / ρ+), explaining the apparent weakness of gravity. • Definition of the gravitational shadow of the mirror sector as the structural origin of dark matter. • Two-sector stress-energy dynamics and the relaxation operator T(+) T(–) / M*². • Linearized tensor equations and CPT-induced correlations, including the origin of log-periodic gravitational-wave modulations. • Bounce fixpoint and global CPT symmetry as structural boundary conditions. This companion paper is not an add-on but a formal backbone: it shows why gravity is the unique global interaction and how the RDCC structure emerges from first principles. --------------------------------------------------------------------- The document “RDCC – Speculative Extensions & Conceptual Companions”, is a purely conceptual and interpretative companion to the main framework. It explores structural analogies (e.g. to condensed-matter systems, holography, black-hole interiors and the problem of time) and philosophical implications of the global CPT-symmetric structure without introducing any new fields, mechanisms, parameters or observational predictions. It does not alter the core predictive model of RDCC v34.0 in any way. --------------------------------------------------------------------- Relationship between the three documents: • RDCC v34.0 presents the complete, predictive core framework. • The companion paper “Gravity as the Global Bridge” shows why the framework works mathematically. • The RDCC – Speculative Extensions & Conceptual Companions document offers conceptual and interpretative companions to RDCC. It explores structural analogies and philosophical perspectives without modifying the core dynamics, introducing new predictions, or altering any observable consequences of the model. Related documents and the full RDCC ecosystem are available via Zenodo:https://zenodo.org/records/18204087 Michael Lehmannmi.lehmann@gmx.de
Michael Lehmann (Wed,) studied this question.