Cosmic Pressure Mechanics: The Deterministic Formula of Dynamic Mass (Expanded Edition with Mathematical Appendix)

This is the third updated version of the research titled "Cosmic Pressure Mechanics (CPM): The Deterministic Formula of Dynamic Mass." This edition provides a refined mathematical derivation of the "Moussa Unified Formula" and the "Law of Squared Mechanical Equilibrium." It establishes the Hassan Unit (UH) as a fundamental constant for cosmic balance. This version specifically addresses the "maturation paradox" in early galaxies observed by the James Webb Space Telescope, explaining these phenomena through mechanical pressure and the Inert Entity (Psi) without the need for Dark Matter.

This work serves as the theoretical bridge to the "Cosmic Mechanical Sensing System" (DOI: 10.5281/zenodo.18792780).