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

This paper presents a mathematical framework to model core Hindu philosophical concepts—Nirguna (formless reality), Saguna (manifest unity), and Anant (infinite consciousness)—using continuous functions (f(t) = t/(1+t)), discrete sequences (A_n), and limit-based representations (lim(x→∞)(0 + x^n)). It bridges ancient Vedantic metaphysics with modern science by providing derivations, visualizations (e.g., asymptotic progression and hierarchical creation), and tables linking Sanskrit concepts to mathematical constructs and real-world analogies. The framework has potential applications in education (teaching limits and metaphysical concepts), technology (AI consciousness and quantum computing), and cross-cultural dialogue. Suitable for interdisciplinary research in philosophy, mathematics, physics, and cognitive science