QED Treatment of Linear Elastic Waves in Asymmetric Environments

TL;DR

This paper introduces a novel asymmetric elastodynamic model based on QED principles, providing a new perspective on elastic wave behavior in asymmetric media and aligning theoretical predictions with experimental observations.

Contribution

It develops a QED-inspired elastic wave theory that generalizes Cosserat theory, linking elastic wave dynamics to quantum electrodynamics and improving consistency with experiments.

Findings

Elastic waves in asymmetric media can be modeled using QED principles.

The model aligns with experimental observations of elastic waves in granular media.

Provides a new paradigm connecting fermions, bosons, and elastic wave behavior.

Abstract

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.