GEOMETRIC AND THERMODYNAMIC CONSTRAINTS ON COSMOLOGICAL STRUCTURE FORMATION: AN EXPLORATORY ANALYSIS

Executive Summary (Synopsis): This paper presents an exploratory investigation into the limitations of the standard cosmological model ($\Lambda$CDM) with respect to organizational entropy and the distribution of angular momentum in the universe. The work proposes the application of the Axial Coherence Factor (ACF) — a metric already validated with an accuracy of $10^{-15}$ on planetary scales — as the fundamental parameter for the stability and formation of galactic structures. Detailed Description: The work identifies critical gaps in current paradigms, questioning why 100% of gravitationally bound systems exhibit rotational dynamics, despite originating from a supposedly radial and symmetrical expansion. Through the law of existence, the authors argue that the universe is not the result of explosive disorganization, but rather a hierarchical CONSTRUCTION governed by axial induction.