Relaxation-Driven Cyclic Cosmology (RDCC) v49.1

Relaxation-Driven Cyclic Cosmology (RDCC) v49.1 Phase-1 integrated core: CPT-symmetric bipartite cosmology with a dimension-8 inter-sector operator Author: Michael Lehmann ([email protected]) RDCC describes the Universe as a globally CPT-symmetric quantum state on a bipartite Hilbert space $\mathcal{H}_{(+)}\otimes\mathcal{H}_{(-)}$. Gauge interactions remain sectoral. Gravity couples to the total stress-energy $T^{(+)}+T^{(-)}$. Observable deviations from $\Lambda$CDM are controlled by a single infrared parameter $\alpha_{\mathrm{IR}}=0.0176\pm 0.0021$. Why v49.1 exists Earlier public versions, including the v48 companion corpus, treated the leading inter-sector coupling as a dimension-6 operator, schematically $T^{(+)}T^{(-)}/M^{2}$. In four spacetime dimensions each stress-energy tensor has mass dimension 4, so the bilinear $T^{(+)}_{\mu\nu}T^{(-)\mu\nu}$ is dimension 8 and belongs in the effective Lagrangian as $c_T\,T^{(+)}T^{(-)}/M^{4}$. Version 49.1 corrects that counting throughout and rebuilds the core on the consistent operator. v49.1 is not a dump of the hundred-companion v48 archive. It is a reconstructed, internally consistent Phase-1 core. Historical documents remain a reference quarry; they are not the active theory. What is new in v49.1 1. Dimension-8 inter-sector operator. Dimension-6 scaling is retired. 2. Freeze-out geometry: $k_{\mathrm{rel}}=a_{\mathrm{fr}}H(a_{\mathrm{fr}})$ (Companion XII). It is no longer an inserted working scale. 3. Numerical evaluation: for $a_{\mathrm{fr}}$ between about $10^{-4}$ and matter-radiation equality, $k_{\mathrm{rel}}\simeq 0.015$–$0.037\,h\,\mathrm{Mpc}^{-1}$, in the same decade as the older $0.01$ placeholder (Technical Note on $k_{\mathrm{rel}}$). 4. Sectoral Newton coupling from the global Einstein equation: $G_{\mathrm{eff}}=G_N(1+\rho_{(-)}/\rho_{(+)}+\rho_{\mathrm{rel}}/\rho_{(+)})$. An inverted formula that appeared in a draft of Companion XI is superseded (Technical Note on $G_{\mathrm{eff}}$). 5. Gravitational slip from effective anisotropic stress, not from a primary $\chi$-template (Companion XLIV). 6. Growth index and tensor transfer inherit the same $k_{\mathrm{rel}}$ (Companions L and XV). 7. Euclid interface tied to that geometric chain. This record contains Core companions I through XII, XV, XLIV and L; the Flagship paper; Numerical Fits; the Euclid Interface; and the two technical notes on $k_{\mathrm{rel}}$ and $G_{\mathrm{eff}}$. Each item is provided as PDF and as LaTeX source. What this record does not claim It does not re-derive $c_{\mathrm{eff}}$, does not fix $\beta(a_{\mathrm{fr}})=1$ beyond the adopted benchmark $a_{\mathrm{fr}}\simeq 10^{-4}$, and does not implement a full Boltzmann solver. Those are later tasks. Speculative readings (measurement, horizons, wave-particle language) are not part of the predictive core. Relation to $\Lambda$CDM v49.1 is a one-parameter extension at the level of the infrared response $\alpha_{\mathrm{IR}}$. Background expansion remains $\Lambda$CDM-like. Distinctive signatures are scale-dependent growth, gravitational slip, tensor damping, and a mild lensing shadow from the non-clustering mirror sector. License and citation Please cite this Zenodo version (v49.1) for the corrected operator and the freeze-out scale. Do not cite v48 documents for the mass dimension of the inter-sector coupling. Michael Lehmann [email protected]