No, the Dirac equation cannot be ended in the same way as Yukawa's meson theory. The Dirac equation is a fundamental equation in quantum field theory that describes the behavior of fermions, such as electrons. It was formulated by Paul Dirac in 1928 and successfully explained the relativistic behavior of electrons, accounting for their spin and predicting the existence of antimatter.
Yukawa's meson theory, on the other hand, was a hypothesis proposed by Hideki Yukawa in 1935 to explain the strong nuclear force. Yukawa introduced the concept of a new particle, the meson, to mediate the force between nucleons (protons and neutrons) in the atomic nucleus. This theory provided a mechanism for the range of the nuclear force and was successful in explaining the observed properties of nuclear interactions.
However, the meson theory was later superseded by the development of quantum chromodynamics (QCD), which is the modern theory of the strong nuclear force. QCD is a quantum field theory that describes the interactions between quarks and gluons, the fundamental particles that make up protons, neutrons, and other hadrons. Unlike the meson theory, which involved the exchange of mesons, QCD explains the strong force through the exchange of gluons and the underlying dynamics of quark interactions.
The Dirac equation, on the other hand, remains a fundamental equation in physics and is an essential component of the standard model of particle physics, which describes the known elementary particles and their interactions. It is not possible to simply "end" the Dirac equation as it provides a mathematically consistent and experimentally verified framework for understanding the behavior of fermions in a relativistic context.
While scientific theories can evolve and be refined over time, the Dirac equation continues to play a crucial role in our understanding of quantum field theory and particle physics, and it is unlikely to be completely replaced or discarded in the same manner as Yukawa's meson theory.