**Preprint | Continuum Field Entropy Empirical Validation Series** The extreme tangential shear and convergence observed in the cores and peripheries of massive galaxy clusters are traditionally attributed to collisionless Dark Matter halos. In this paper, we test the strictly baryonic Continuum Field Entropy (CFE) framework against the weak lensing profiles of Abell 2029, Abell 383, MACS J1206, and MACS J1149. We demonstrate that the non-linear elasticity of the CFE field (2. 52), derived from kiloparsec-scale spiral galaxies, natively predicts the diffuse far-field cosmic shear (> 1000 kpc) of Abell 2029 without requiring a distinct cluster-scale mass profile. Furthermore, utilizing a Hamiltonian Monte Carlo (HMC) Bayesian inference engine on the Hubble Space Telescope CLASH convergence maps of Abell 383 and MACS J1206, we reveal that the “missing mass” in relaxed cluster cores is a thermodynamic optical illusion. Due to the extreme entropy of the Intra-Cluster Medium, the vacuum undergoes shear-thickening, generating massive Optical Retardation Coefficients (₎ₓ = 10. 88-₀. ₅₂^+0. 51 for Abell 383; ₎ₓ = 6. 18-₀. ₄₈^+0. 46 for MACS J1206). Finally, we resolve the failure of 1D spherical models on unrelaxed mergers. By deploying a 3D Fast Fourier Transform (FFT) Tensor Engine on the bimodal collision MACS J1149, we demonstrate that vector cancellation at the saddle point triggers extreme non-linear field elasticity. This geometric stiffening generates massive optical retardation, perfectly reproducing the “Dark Matter filaments” observed between merging clusters as a purely thermodynamic field illusion. **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.