23 citations · 51 across the 9 of their papers we have counts for
7 papers · 1 filter
Complex geometry and pre-metric electromagnetism
D. H. Delphenich
The intimate link between complex geometry and the problem of the pre-metric formulation of electromagnetism is explored. In particular, the relationship between 3+1 decompositions…
Spacetime G-structures II: geometry of the ground states
David Delphenich
This article is a continuation of a previous work that dealt with the topological obstructions to the reductions of the bundle of linear frames on a spacetime manifold for a partic…
Some Mathematical Issues Pertaining to Translational Gauge Theories
David Delphenich
Some mathematical aspects of using the translation group as an internal symmetry group in a gauge field theory are presented and discussed. The traditional manner in which gravitat…
Spacetime G-structures I: Topological Defects
D. H. Delphenich
The notion of G-structure is defined and various geometrical and topological aspects of such structures are discussed. A particular chain of subgroups in the affine group for Minko…
Proper Time Foliations of Lorentz Manifolds
D. H. Delphenich
Some standard definitions and results concerning foliations of dimension one and codimension one are introduced. A proper time foliation of Minkowski space is defined and contraste…
The Geometric Origin of the Madelung Potential
D. H. Delphenich
Madelung's hydrodynamical forms of the Schrodinger equation and the Klein-Gordon equation are presented. The physical nature of the quantum potential is explored. It is demonstrate…