17 citations · 32 across the 7 of their papers we have counts for
7 papers
On The Physical Non-Equivalence of Chiral Bases
T. B. Watson, Z. E. Musielak
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 p…
Chiral Dirac Equation and Its Spacetime and CPT Symmetries
Timothy B. Watson, Zdzislaw E. Musielak
The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincaré group, the Lagrangian formalism, and a novel method of projection operators…
Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields
T. B. Watson, Z. E. Musielak
The Bargman-Wigner equations are generalized to include chiral symmetry based on the irreps of the Poincaré group, and the chirial Bargmann-Wigner equations are derived for spin-1…
Chiral Symmetry in Dirac Equation and its Effects on Neutrino Masses and Dark Matter
T. B. Watson, Z. E. Musielak
Chiral symmetry is included into the Dirac equation using the irreducible representations of the Poincaré group. The symmetry introduces the chiral angle that specifies the chiral…
Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Z. E. Musielak, L. C. Vestal, B. D. Tran +1
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energ…
General null Lagrangians, exact gauge functions and forces in Newtonian mechanics
Zdzislaw E. Musielak, Timothy B. Watson
A method to construct general null Lagrangians and their exact gauge functions is developed. The functions are used to define classical forces independently from Newtonian dynamics…