What question did this study set out to answer?

The aim is to validate the Continuum Field Entropy framework against weak lensing profiles in massive galaxy clusters.

June 12, 2026Open Access

Resolving the Cluster Mass Anomaly via Continuum Field Entropy: Kinematic Universality, Thermodynamic Impedance, and 3D Tensor Geometry in Bimodal Mergers

Key Points

The aim is to validate the Continuum Field Entropy framework against weak lensing profiles in massive galaxy clusters.
Tested Continuum Field Entropy against weak lensing profiles of galaxy clusters Abell 2029, Abell 383, MACS J1206, and MACS J1149.
Utilized Hamiltonian Monte Carlo Bayesian inference on Hubble Space Telescope convergence maps.
Employed a 3D Fast Fourier Transform Tensor Engine for analyzing bimodal collision effects.
Predicted cosmic shear without needing a cluster-scale mass profile for Abell 2029.
Optical Retardation Coefficients estimated at 10.88 for Abell 383 and 6.18 for MACS J1206, indicating shear-thickening effects.
Demonstrated that non-linear field elasticity explains Dark Matter filaments purely as a thermodynamic illusion.

Abstract

**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).

Read Full Paperexternally

Perguntar à IA

Bookmark

View Full Paper