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 Γₚᵤₘₚ, while the collective back-reaction modifies the effective cosmological constant Λeff(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 paradigm. CSF-CMT predicts a late-time deviation in the dark-energy equation of state: w(z)=-1+δ wCSF(z), with δ wCSF ~ 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 → ∞ coarse-graining limit.