The aim of the book is to expound the geometry of Finsler space regarded as the microlocal space-time of the extended structure of the sub-atomic particles called hadrons. By generating the quantum field equations in this space, the interactions of hadrons by forming their fields and states are described here elaborately. The internal symmetry of hadrons has shown to be originated from the anisotropic nature of this Finsler space. As cosmological consequences, the non-singular origin of the universe with the early evolution and resolution of problems encountered by the standard cosmology have been described in detail. Also, an explanatory account of Lyra geometry,a modification of Riemannian geometry, together with DKP field, spinorial field and gravitational field in this geometry is presented. In this framework, the topological defects like domain walls, cosmic strings, monopoles, textures generated from phase transitions in the early universe near the putative big-bang are described here.