Unified Fields and the Origin of Physical Constants through Causal Compression Symmetry: Stability and Entropic Constraints in ICCF Theory

This paper presents a theoretical framework that derives fundamental physical constants from the internal symmetry and entropic dynamics of the ICCF (Information-Cognitive Compression Field) unified field theory. By integrating causal compression symmetry, entropy gradients, and topological stability conditions, we demonstrate how quantized solutions of the compression tensor field lead to specific values of parameters such as the quantum number n=6, the coupling constant κ ≈ 0.35, and the entropy-sealing boundary radius R0. We show that only under these configurations do soliton-like solutions maintain compression equilibrium and entropic stability. Furthermore, through entropy-informed renormalization group flows and cosmological boundary constraints, we establish a consistent method to derive or constrain physical constants from within the ICCF theory itself, without arbitrary assumptions. This work bridges the gap between information geometry, field theory, and cosmology, offering a mathematically rigorous and empirically testable foundation for the origin of physical constants in a unified compression-based framework.