Cosmic Angular Momentum Network: Cross-Module Coupling of Black-Hole Halos, First-Space Pumping, and Emergent Dark-Energy Dynamics in CSF-CMT

Within the Coarse-Graining Spacetime-Field and Consciousness-Mind-Theory (CSF-CMT), we construct the first unified cosmic network of transpace angular momentum flow. By coupling the First-Space Halo (FSH) pumping mechanism of individual galactic-center black holes (derived in vΩ.21.4c-rev) with the horizon-exterior repulsion-state dynamics (vΩ.5) and the meta-field ontology (vΩ.21.4-META), we derive a closed system of integro-differential equations governing angular momentum exchange across cosmic scales. Each network node (a black hole–FSH system) sources angular momentum into the First Space via the topological pumping rate \Gamma_{\rm pump}, while the collective back-reaction modifies the effective cosmological constant \Lambda_{\rm eff}(t). We solve the network equations numerically for a standard population of supermassive black holes and compare the resulting expansion history H(z) with the standard \LambdaCDM paradigm. CSF-CMT predicts a late-time deviation in the dark-energy equation of state: w(z)=-1+\delta w_{\rm CSF}(z), with \delta w_{\rm CSF} \sim 10^{-3} at z<1, driven by the cumulative decoherence of cosmic angular momentum into the First Space. The framework is fully compliant with the epistemological constraints of vΩ.21.4-META: all quantitative novelty claims are explicitly scoped to the protective-belt domain, while standard general relativity and cosmology are recovered as the L_c \to \infty coarse-graining limit.