The microlocal space of hadronic matter extension has recently been ch
aracterized as a Finsler space. This consideration of hadrons extended
as composites of constituents can give rise to a dynamical theory of
hadrons. The macrospaces, the space-time of common experience (the Min
kowski flat space-time) and the Robertson-Walker background space-time
of the universe, are found to appear as the ''averaged'' space-times
of the Finsler space that describes the anisotropic nature of the micr
odomain of hadrons. From the assumed property of the fields of the con
stituents in the microspace it is possible to find the field (or wave)
equations of the particles (or constituents) through the quantization
of space-time at small distances (to an order of or less than a funda
mental length). If the field (or wave) function is separable in the fu
nctions of the coordinates of the underlying manifold and the directio
nal arguments of the Finsler space, then the former part of the field
function is found to satisfy the Dirac equation in the Minkowski space
-time or in the Robertson-Walker space-time according to the nature of
the underlying manifold. In the course of finding a solution for the
other part of the field function a relation between the mass of the pa
rticle and a parameter in the metric of the space-time has been obtain
ed as a byproduct. This mass relation has cosmological implications an
d is relevant in the very early stage of the evolution of the universe
. In fact, it has been shown elsewhere that the universe might have or
iginated from a nonsingular origin with entropy and matter creations t
hat can account for the observed photon-to-baryon ratio and total part
icle number of the present universe. The equations in the directional
arguments for the constituents in the hadron configuration are found h
ere and give rise to an additional quantum number in the form of an ''
internal'' helicity that can generate the internal symmetry of hadron
if one incorporates the arguments of Budini in generating the internal
isospin algebra from the conformal reflection group. This considerati
on can also account for the meson-baryon mass differences.