Regarding some logical gaps in the existing asymmetric elastic theories, by generalizing and modifying the related Cosserat theory (CT) for an elastic environment, we have shown that its elastic wave equations are analogous to quantum electrodynamics (QED) ones. Thus on macro scales, elastic waves can possess the QED treatment. This analogy provides a new paradigm of fermions and bosons. Also, from experimental point of view, contrary to the Cosserat and discrete models, this amended CT has been indicated to be consistent with the corresponding empirical observations.