37 citations · 86 across the 7 of their papers we have counts for
7 papers
Statistical Mechanics and the Ghosts of Departed Quantities
G. N. Ord
Quantum mechanics appears to contain ghosts from both classical statistical mechanics and special relativity. On one hand, both the Dirac and Schrödinger equations have classical a…
Superposition as a Relativistic Filter
G. N. Ord
By associating a binary signal with the relativistic worldline of a particle, a binary form of the phase of non-relativistic wavefunctions is naturally produced by time dilation. A…
A physical basis for the phase in Feynman path integration
G. N. Ord, J. A. Gualtieri, R. B. Mann
In the path integral formulation of quantum mechanics, the phase factor Exp[iS(x[t])] is associated with every path x[t]. Summing this factor over all paths yields Feynman's propag…
Entwined Paths, Difference Equations and the Dirac Equation
G. N. Ord, R. B. Mann
Entwined space-time paths are bound pairs of trajectories which are traversed in opposite directions with respect to macroscopic time. In this paper we show that ensembles of entwi…
Entwined Pairs and Schroedinger 's Equation
G. N. Ord, R. B. Mann
We show that a point particle moving in space-time on entwined-pair paths generates Schroedinger's equation in a static potential in the appropriate continuum linit. This provides…
The Dirac Equation in Classical Statistical Mechanics
G. N. Ord
The Dirac equation, usually obtained by `quantizing' a classical stochastic model is here obtained directly within classical statistical mechanics. The special underlying space-tim…
The Feynman Propagator from a Single Path
G. N. Ord, J. A. Gualtieri
We show that it is possible to construct the Feynman Propagator in one dimension, without quantization, from a single continuous space-time path.