36 citations · 148 across the 29 of their papers we have counts for
7 papers · 1 filter
Hyperspace fermions,Möbius transformations, Krein space, fermion doubling, dark matter
George Jaroszkiewicz
We develop an approach to classical and quantum mechanics where continuous time is extended by an infinitesimal parameter and equations of motion converted into difference equa…
Temporal discretisation of the Skyrme Model
George Jaroszkiewicz, Vladimir Nikolaev
Soliton models are used in elementary particle physics and nuclear physics to model extended objects such as nucleons, using effective field theories derived from more fundamental…
Principles of Discrete Time Mechanics: V. The Quantisation of Maxwell's Equations
George Jaroszkiewicz, Keith Norton
Principles of discrete time mechanics are applied to the quantisation of Maxwell's equations. Following an analysis of temporal node and link variables, we review the classical dis…
Principles of Discrete Time Mechanics: IV. The Dirac Equation, Particles and Oscillons
Keith Norton, George Jaroszkiewicz
We apply the principles of discrete time mechanics discussed in earlier papers to the first and second quantised Dirac equation. We use the Schwinger action principle to find the a…
Principles of Discrete Time Mechanics: III. Quantum Field Theory
Keith Norton, George Jaroszkiewicz
We apply the principles discussed in earlier papers to the construction of discrete time quantum field theories. We use the Schwinger action principle to find the discrete time fre…
Principles of Discrete Time Mechanics: II. Classical field Theory
George Jaroszkiewicz, Keith Norton
We apply the principles discussed in an earlier paper to the construction of discrete time field theories. We derive the discrete time field equations of motion and Noether's theor…
Principles of Discrete Time Mechanics: I. Particle Systems
George Jaroszkiewicz, Keith Norton
We discuss the principles to be used in the construction of discrete time classical and quantum mechanics as applied to point particle systems. In the classical theory this include…