23 citations · 85 across the 24 of their papers we have counts for
7 papers · 1 filter
Transverse geometry and physical observers
David Delphenich
It is proposed that the mathematical formalism that is most appropriate for the study of spatially non-integrable cosmological models is the transverse geometry of a one-dimensiona…
Hermitian structures defined by linear electromagnetic constitutive laws
David Delphenich
It is demonstrated that when the bundle of 2-forms on a four-dimensional manifold M admits an almost-complex structure any choice of "real + imaginary" subspace decomposition of th…
Nonlinear electrostatics: steps towards a neoclassical electron model
D. H. Delphenich
The equations of electrostatics are presented in pre-metric form, and it is pointed out that if the origin of the nonlinearity is the constitutive law for the medium then the diffe…
Groups of motions and mechanics I: point mechanics
D. H. Delphenich
It is shown that physical mechanics for pointlike bodies can be effectively modeled in terms of the action of transformation groups that act as symmetries of the solutions of syste…
A more direct representation for complex relativity
David Delphenich
An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is g…
Nonlinear connections and 1+3 splittings of spacetime
D. H. Delphenich
The analogy between 1+3 splittings of the spacetime tangent bundle and the splitting of the tangent bundle to the bundle of linear frames into vertical and horizontal sub-bundles i…