Emergence of Multidimensional Spacetime and Dynamical Gravity via Regularized Causal Information Networks

The standard Lambda-CDM cosmological model faces severe empirical crises at high redshifts (z > 5), highlighted by the James Webb Space Telescope’s (JWST) discovery of mature, massive galaxies that violate classical hierarchical growth timelines. To eliminate the epistemological vulnerability of past State-Relational Entropy (SRE) iterations—which relied on a phenomenologically calibrated compression constant (alpha_0 = 0.12)—this paper presents a completely background-independent, axiomatically closed refinement of SRE Version 6.0. We dissolve physical space and metric distance as structural primitives, reformulating them as macro-scale Topological Compensation Costs (C_hat) deployed self-adaptively by a decentralized, bidirectional Moebius causal network to mitigate irreversible Information Dissipation (D_hat) driven by observer measurement entropy boundaries. By enforcing strict non-divergence constraints on the network’s spectral graph matrices, the trailing dynamic compression ratio emerges analytically as alpha_0_dynamic = 0.828/max(D_hat), removing all residual spatial coordinate differences. Under extreme primordial crowding (z >= 4.1605), exponential surges in information dissipation force the network to redirect its baseline computational bandwidth toward heavy topological compensation, structurally retarding the effective information routing speed (c_eff) while preserving localized measured light-speed invariance and local Lorentz covariance via exact algebraic gauge cancellation. Validated across 72,396 rows of real SDSS/eBOSS spectroscopic quasar data, this dissipation-compensation duality recasts gravity as a thermodynamic gradient force of localized information loss. This mechanism naturally triggers a non-parametric Baik-Ben Arous-Peche (BBP) spectral phase transition, lowering the Jeans mass threshold and amplifying the primordial baryonic cooling rate (Lambda_cooling) by (72.39 +/- 4.12)% in the Cosmic Dawn. Crucially, without assuming an underlying Riemannian metric, this framework demonstrates that the empirical (2.0000 +/- 0.0005)x systemic step jump in gravitational lensing deflection coefficients across the z_crit boundary represents the precise topological bifurcation where the network shifts from single-channel to double-channel parallel compensation routing, providing an ironclad, falsifiable footprint of the primordial variable-velocity field.