Finsler geometry

Finsler geometry is a branch of mathematics that generalizes traditional geometry by allowing the measurement of distance to depend on both the position and the direction of travel. Unlike in standard geometry, where the shortest path (geodesic) between two points is always a straight line or a smooth curve, Finsler geometry considers more flexible rules for measuring lengths, which can vary with direction. This approach helps model complex systems with anisotropic properties—those that differ in different directions—such as in physics or biology—providing a richer framework for understanding space and motion.