6 citations · 10 across the 6 of their papers we have counts for
6 papers
On the Kostant-Souriau prequantization of scalar fields with polysymplectic structures
Tom McClain
In this paper, I present a novel, purely differential geometric approach to the quantization of scalar fields, with a special focus on the familiar case of Minkowski spacetimes. Th…
Obstacles to the quantization of general relativity using symplectic structures
Tom McClain
In this paper I give overviews of the polysymplectic approach to covariant Hamiltonian field theory and the simplest geometric quantization of classical particle theories. I then g…
Using weighting algorithms to refine source direction determinations in all-sky gravitational wave burst searches with two-detector networks II: The case of elliptical polarization
Tom McClain
I expand on the results of a recent work in which a novel weighting algorithm was shown to substantially increase the accuracy of an old, non-Bayesian computational approach for in…
A global version of Gunther's polysymplectic formalism using vertical projections
Tom McClain
I construct a global version of the local polysymplectic approach to covariant Hamiltonian field theory pioneered by C. Gunther. Beginning with the geometric framework of the theor…
Tautological Tuning of the Kostant-Souriau Quantization Map with Differential Geometric Structures
Tom McClain
For decades, mathematical physicists have searched for a coordinate independent quantization procedure to replace the ad hoc process of canonical quantization. This effort has larg…
Using weighting algorithms to refine source direction determinations in all-sky gravitational wave burst searches with two-detector networks
Tom McClain
I explore the possibility of resurrecting an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from the output of a two-detector n…