4 papers
The Exterior Calculus and Relativistic Quantum Mechanics
Jose G. Vargas
In 1960-62, E. Kähler developed what looks as a generalization of the exterior calculus, which he based on Clifford rather than exterior algebra. The role of\ the exterior derivati…
Geometric Unification in Classical Physics
Jose G. Vargas
We show that always present in the autoparallels, even in natural liftings to the Finsler bundle of arbitrary connections, the Lorentz force is inescapable in Finsler geometry. The…
Total Operators and Inhomogeneous Proper Values Equations
Jose G. Vargas
Kaehler's two-sided angular momentum operator, K + 1, is neither vector-valued nor bivector-valued. It is total in the sense that it involves terms for all three dimensions. Consta…
Real Units Imaginary in Kaehler's Quantum Mechanics
Jose G. Vargas
Inspired by a similar, more general treatment by Kahler, we obtain the spin operator by pulling to the Cartesian coordinate system the azimuthal partial derivative of differential…