Are There Inconsistencies in Established Particle Physics Theories?

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I am interested in getting feedback on what seem to be inconsistencies in the formulation, described in recently published textbooks, of fundamental theories in particle physics, including the Dirac equation, the Standard Model and the description of discrete transformations.
 
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Don't forget to give references if you ask such things in the technical forums. And keep in mind, that we are committed to mainstream science as it is taught at universities.

Have fun and stay curious!
 
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