Computational Application of Physical Laws in 3D Programming Environments: An Analysis of Real-Time Simulation Systems

This study examines the integration of fundamental physical principles into three-dimensional computational algorithms and analyzes how digital systems simulate physical phenomena from the real world. Through a systematic analysis of next-generation physics engines and their mathematical foundations, this research investigates how Newtonian mechanics, collision dynamics, and force interactions are translated into real-time digital simulations. The review covers a comparative analysis of leading physics engines, an evaluation of numerical integration methods, and an assessment of performance optimization strategies within modern 3D programming environments. The overall findings highlight that effective physics engine simulations require a critical balance between computational accuracy and real-time performance constraints, with significant implications for applications in gaming, engineering simulations, and educational visualization systems.