Abstract
This white paper introduces a rigorous mathematical bridge between mainstream Lambda-Cold Dark Matter (Lambda-CDM) cosmology and the Eckes Unified Cosmological Substrate Equations (UCSE). We isolate the exact domain of mathematical parity between these two frameworks at the Intermediate Cosmological Scale during the Linear Perturbation Epoch. By reformulating the metric expansion of spacetime as a topological phase-relaxation process within a continuous, two-dimensional viscoelastic phase fluid substrate, we demonstrate that both frameworks yield identical, zero-deviation outputs for the early baryonic sound horizon (r_s ~ 147.0 Mpc) and the cosmic microwave background (CMB) acoustic angular scaling (theta_* ~ 0.01041). This formal correspondence anchors the UCSE to empirical observational data while offering an alternative physical mechanism for non-linear scale anomalies—such as the Hubble tension and early ultra-massive galaxy formation—via local solitonic phase-condensation events rather than discrete geometric dark sectors.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "SPEC-345: COSMOLOGICAL PHASE RELAXATION: THE UNIFIED COSMOLOGICAL SUBSTRATE EQUATIONS (UCSE)", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/12622