The Earth–Moon Causal System: A Unified Framework of Planetary Interdependence

This paper presents a unified causal model of the Earth–Moon system, integrating physical, entropic, structural, and symbolic dynamics into a coherent mathematical framework. Grounded in the Universal Causal Code Formula (UCCF), the Earth–Moon pair is analyzed as a planetary-scale causal unit that functions through recursive tidal resonance, entropy-phase stabilization, and cultural-symbolic synchronization. We propose a generalized Earth–Moon System Function UEM(t)U_{EM}(t), capturing the nonlinear interplay between energetic flows, structural coherence, orbital phase coupling, and human feedback systems (e.g., lunar calendars, mythological cycles). The model positions the Earth–Moon system as a testbed for civilizational resilience and causal responsibility, suggesting that passing the Great Filter may depend on a species’ capacity to align its symbolic structures with planetary feedback constraints. The result is a transdisciplinary contribution to entropy mechanics, planetary systems theory, and the causal modeling of civilization-scale sustainability.