The Role of Indian Knowledge in Shaping Computational Mathematics and Physics for Global Innovation

This paper explores the foundational contributions of the Indian Knowledge System (IKS) to computational mathematics and theoretical physics, assessing their historical depth and relevance in contemporary scientific innovation. Drawing from classical Indian texts such as the Sulbasutras (geometric constructions), Aryabhatiya (trigonometry and planetary motion), and Vaisesika Sutras (atomic theory) the study traces mathematical and physical concepts that resonate with modern computational paradigms. Using a comparative historical-analytical methodology, the paper highlights early algorithmic processes, number systems, recursion, and logical structures in Indian epistemology that prefigure symbolic computation, discrete mathematics, and quantum reasoning. The study also integrates recent research exploring IKS contributions to artificial intelligence (AI), quantum computing, and nonlinear systems. Findings support the argument that traditional Indian models provide a culturally grounded yet globally applicable foundation for scientific advancement, offering lightweight algorithms, holistic frameworks, and interdisciplinary methodologies. The paper concludes by emphasising the importance of integrating IKS into mainstream education and research to promote inclusive, decolonised, and innovation-oriented scientific inquiry.