  Excitations of a relativistic geometry are used to represent the theory of
quantum electrodynamics. The connection excitations and the frame excitations
reduce, respectively, to the electromagnetic field operator and electron field
operator. Because of the inherent geometric algebraic structure these operators
obey the standard commutation rules of QED. If we work with excitations, we
need to use statistical theory when considering the evolution of microscopic
subsystems. The use of classical statistics, in particular techniques of
irreversible thermodynamics, determine that the probability of absorption or
emission of a geometric excitation is a function of the classical energy
density. Emission and absorption of geometric excitations imply discrete
changes of certain physical variables, but with a probability determined by its
wave energy density. Hence, this geometric theory, without contradicting the
fundamental aspects of quantum physics, provides a geometric foundation for the
theory.
