**Preprint | Continuum Field Entropy Empirical Validation Series** The Cosmic Microwave Background (CMB) acoustic power spectrum is widely considered the definitive triumph of the CDM standard model, which relies on collisionless Cold Dark Matter to balance the primordial plasma. In this paper, we present an alternative phenomenological wave mechanics model based on the Continuum Field Entropy (CFE) framework. By modeling the universe as a non-linear, shear-thickening Cosserat continuum, we introduce a 1D wave model utilizing direct algebraic proxies for CFE field dynamics that hybridizes both the symmetric and antisymmetric tension modes. We execute a Hamiltonian Markov Chain Monte Carlo (MCMC) pipeline and a Differential Evolution global optimization to verify topological stability. The unconstrained MCMC organically isolates a dimensionless fractional antisymmetric vacuum impedance of Z₀₍ₓ₈ 0. 721. We demonstrate that this primordial macroscopic viscosity represents the high-energy state of the fundamental SU (2) electroweak gauge coupling constant, which has since thermodynamically relaxed to g 0. 65 in the modern universe. Furthermore, by comparing the absolute physical relaxation time of the CMB epoch to the modern Bullet Cluster collision epoch, we prove the Primordial Field is a non-Newtonian shear-thickening field undergoing a massive structural phase transition. The CFE framework successfully replicates the CDM acoustic morphology, providing a purely continuous thermodynamic resolution to the missing mass problem. **Project Integration: **This document is a standalone validation report. The underlying universal field equations, foundational axioms, and the complete multi-disciplinary validation framework can be found in the primary master manuscript (DOI: 10. 5281/zenodo. 20631794).
Sureshkumar Rangasamy (Wed,) studied this question.