Relaxation-Driven Cyclic Cosmology (RDCC) v33.0 + Companion Paper I: Gravity as the Global Bridge in RDCC

This Zenodo record contains the March 2026 release of the Relaxation-Driven Cyclic Cosmology (RDCC) framework, consisting of two complementary manuscripts: 1. Relaxation-Driven Cyclic Cosmology (RDCC) v33.0 2. Gravity as the Global Bridge in Relaxation-Driven Cyclic Cosmology (RDCC) – Companion Paper I Together, these documents present a unified, minimal and fully CPT-symmetric cosmological framework in which early- and late-time physics are governed by a single infrared relaxation parameter α. --------------------------------------------------------------------- What is new in RDCC v33.0 Version 33.0 is the most complete and polished formulation of RDCC to date. Key upgrades include: • Unified one-parameter prediction structure: all deviations from ΛCDM (scalar tilt, ΔNeff, growth suppression, DM/baryon ratio, GW amplitude) lie on a single α-curve. • Harmonized figures and improved EFT presentation: the bounce dynamics, phase-space attractor, modified Friedmann equation, and GW oscillations are now presented in a unified visual and conceptual style. • Refined bounce analysis: the cuscuton-induced nonsingular bounce is shown to be dynamically stable, with antisymmetric perturbations suppressed by relaxation dynamics. • Clearer phenomenological forecasts: RDCC v33.0 provides explicit observational targets for CMB-S4, Euclid, DESI, LSST, and LISA, including log-periodic gravitational-wave oscillations. • Improved conceptual narrative: the global CPT structure, sectoral arrows of time, and the role of the relaxation parameter α are presented in a streamlined, publication-ready form. RDCC v33.0 is the primary phenomenological and EFT-level exposition of the framework. --------------------------------------------------------------------- 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. --------------------------------------------------------------------- Relationship between the two documents RDCC v33.0 provides the phenomenology, predictions, EFT structure, bounce dynamics, and observational tests. Companion Paper I provides the formal derivations, global geometry, tensor equations, and the structural interpretation of gravity. Together, they form a coherent two-part presentation: • RDCC v33.0 shows what the framework predicts. • The companion paper shows why the framework works. Even if future data were to falsify RDCC, the framework provides a new structural perspective on CPT symmetry, gravity, dark matter, and the arrow of time. --------------------------------------------------------------------- Citation If you use or reference this work, please cite both documents as a unified pair describing the RDCC framework. Related documents and the full RDCC ecosystem are available via Zenodo:https://zenodo.org/records/18204087 Michael [email protected]