141 citations · 582 across the 23 of their papers we have counts for
23 papers
Galilean Relativity and the Path Integral Formalism in Quantum Mechanics
Charles Torre
Closed systems in Newtonian mechanics obey the principle of Galilean relativity. However, the usual Lagrangian for Newtonian mechanics, formed from the difference of kinetic and po…
Improved Majority Identification by the Coarsened Majority Automaton
David Peak, Charles G. Torre, Jenny R. Whiteley
The initial majority identification task is a fundamental test problem in cellular automaton research. To pass the test, an automaton must evolve to a uniform configuration consist…
Spacetime Groups
Ian Anderson, Charles Torre
A spacetime group is a connected 4-dimensional Lie group G endowed with a left invariant Lorentz metric h and such that the connected component of the isometry group of h is G itse…
Affine Symmetry, Geodesics, and Homogeneous Spacetimes
David Maughan, Charles Torre
We show that the conservation laws for the geodesic equation which are associated to affine symmetries can be obtained from symmetries of the Lagrangian for affinely parametrized g…
Rainich Conditions in (2+1)-Dimensional Gravity
D. S. Krongos, C. G. Torre
In (3 + 1) spacetime dimensions the Rainich conditions are a set of equations expressed solely in terms of the metric tensor which are equivalent to the Einstein-Maxwell equations…
Functional Time Evolution, Anomaly Potentials, and the Geometric Phase
C. G. Torre
A free quantum field in 1+1 dimensions admits unitary Schrodinger picture dynamics along any foliation of spacetime by Cauchy curves. Kuchar showed that the Schrodinger picture sta…