Физическая математика

Geometric Methods in Theoretical Physics Bridging the Gap

Abstract

Mariku Chide*

The landscape of theoretical physics is one of profound complexity and beauty, marked by abstract concepts and intricate mathematical frameworks. Among these, geometric methods have emerged as a powerful tool, offering a unifying language to describe and understand physical phenomena. This approach, rooted in the rich history of geometry, has bridged the gap between seemingly disparate areas of physics, providing insights that transcend traditional boundaries. Geometry, with its origins in ancient civilizations, has evolved significantly over millennia. From the Euclidean geometry of flat spaces to the non-Euclidean geometries of curved spaces, the mathematical structures have grown in sophistication. In the realm of theoretical physics, this evolution has mirrored the expanding understanding of the universe, from the classical mechanics of Newton to the relativistic and quantum worlds of Einstein and beyond.