On The Physical Non-Equivalence of Chiral Bases

T. B. Watson; Z. E. Musielak

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arXiv · 2211.16411

On The Physical Non-Equivalence of Chiral Bases

T. B. Watson·Z. E. Musielak

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Abstract

In this letter we seek to redress lingering misconceptions pertaining to the physicality of the chiral phase of Dirac bi-spinor fields. Demonstrably, the most general first-order partial differential equation for spinor wavefunctions that can be obtained in Minkowski spacetime is the Dirac-like equation which leaves both the mass and chiral angles as free parameters, the so-called Chiral Dirac Equation. Previously, claims have plauged the literature which assert that any attempt to incorporate chirality by such a generalization can be trivially reduced to the case the nominal Dirac Equation. These statements are incorrect. In this letter we present a formal proof demonstrating the physical non-equivalence of particle states whose chiral angles differ, thereby demonstrating unequivocally the physicality of the chiral basis.

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T. B. Watson, Z. E. Musielak. 2022-11-29. On The Physical Non-Equivalence of Chiral Bases. https://arxiv.org/abs/2211.16411

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