  Considering the importance of correctly understanding the dynamics of
microstructure materials for their applications in related technologies, by
eliminating the shortcomings and some overlooked physical concepts in the
existing asymmetric elastic theories, we have presented an asymmetric
elastodynamic model based on a U(1) gauge theory with quantum electrodynamics
(QED) structure. Accordingly, we have shown that there is a correspondence
between an elastic theory, which can explain the behavior of elastic waves
within an asymmetric elastic medium, and QED. More specific, we have indicated
that the corresponding elastic wave equations are somehow analogous to QED
ones. In this regard, by adding vibrational degrees of freedom and introducing
a gauge property of the waves of displacement for the waves of rotation, we
have generalized and modified the related Cosserat theory (CT) for an elastic
environment. Thus on macro scales, the elastic waves can possess the QED
treatment. This analogy provides a new paradigm of fermions and bosons. Also,
from experimental point of view, we have shown that the behavior of elastic
waves in a granular medium is equivalent to behavior of light in dispersive
media, which can be explained using QED. Hence, contrary to the Cosserat and
discrete models, this amended CT has qualitatively been indicated to be
consistent with the corresponding empirical observations.
