5 papers · 1 filter
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…
Algebraic Quarks from the Tangent Bundle: Methodology
Jose G. Vargas
In a previous paper, we developed a table of components of algebraic solutions of a system of equations generated by an inhomogeneous proper-value equation involving Kähler's total…
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…
Opera's neutrinos and the Robertson test theory of the Lorentz transformations
Jose G. Vargas
The difference in light's travel time from CERN to GPS to Gran Sasso, on the one hand, and light going the direct route in vacuum (mimicked by neutrinos), on the other hand, is ana…