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

This paper presents a mathematical framework modeling 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 = 2^(n-1) for n ≥ 2), and limit-based representations (lim(x→∞)(0 + x^n)). It bridges ancient Vedantic metaphysics with modern science through detailed derivations, visualizations (e.g., asymptotic progression from void to unity and hierarchical creation steps), and tables linking Sanskrit concepts to mathematical constructs and real-world analogies. The framework explores the evolution from zero to infinity, offering applications in education (visualizing metaphysical ideas, teaching limits), technology (AI consciousness modeling, quantum computing principles), and cross-cultural dialogue. Suitable for interdisciplinary research in philosophy, mathematics, physics, and cognitive science.