Mathematical Modeling of Hindu Philosophy: Zero, One, and Infinity

Version 3 of this framework presents an enhanced mathematical approach to modeling core Hindu philosophical concepts. It introduces three key innovations: the Continuous Sigmoid Family for smooth consciousness transitions, the Generalized Discrete Ladder for hierarchical cosmic modeling, and a Corrected Double-Limit Identity for precise threshold behaviors. The framework bridges ancient Vedantic insights—such as Nirguna, Saguna, Anant, and Primordial States—with modern computational methods, enabling applications in AI consciousness modeling, educational visualization, and quantum-inspired systems. Open-source implementations and backward compatibility with previous versions make it a practical tool for interdisciplinary research.