55 citations · 118 across the 6 of their papers we have counts for
6 papers
Tensor distributions on signature-changing space-times
David Hartley, Robin W. Tucker, Philip A. Tuckey +1
Irregularities in the metric tensor of a signature-changing space-time suggest that field equations on such space-times might be regarded as distributional. We review the formalism…
On quantum and parallel transport in a Hilbert bundle over spacetime
W. Drechsler, Philip A. Tuckey
We study the Hilbert bundle description of stochastic quantum mechanics in curved spacetime developed by Prugovečki, which gives a powerful new framework for exploring the quantum…
A Parallelizable Implicit Evolution Scheme for Regge Calculus
John W. Barrett, Mark Galassi, Warner A. Miller +3
The role of Regge calculus as a tool for numerical relativity is discussed, and a parallelizable implicit evolution scheme described. Because of the structure of the Regge equation…
Geometry and Dynamics with Time-Dependent Constraints
Jonathan M. Evans, Philip A. Tuckey
We describe how geometrical methods can be applied to a system with explicitly time-dependent second-class constraints so as to cast it in Hamiltonian form on its physical phase sp…
The Construction of Sorkin Triangulations
Philip Tuckey
Some time ago, Sorkin (1975) reported investigations of the time evolution and initial value problems in Regge calculus, for one triangulation each of the manifolds and $R^…
A Geometrical Approach to Time-Dependent Gauge-Fixing
Jonathan M. Evans, Philip A. Tuckey
When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specific…