11 citations · 24 across the 7 of their papers we have counts for
7 papers
Classical Gravity as an Eikonal Approximation to a Manifestly Lorentz Covariant Quantum Theory with Brownian Interpretation
Lawrence P. Horwitz, Ori Oron
We discuss in this Chapter a series of theoretical developments which motivate the introduction of a quantum evolution equation for which the eikonal approximation results in the g…
Could the classical relativistic electron be a strange attractor?
L. P. Horwitz, N. Katz, O. Oron
We review the formulation of the problem of the electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics…
Relativistic Brownian Motion in 3+1 Dimensions
O. Oron, L. P. Horwitz
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic…
The conformal metric associated with the U(1) gauge of the Stueckelberg- Schrödinger equation
O. Oron, L. P. Horwitz
We review the classical and quantum mechanics of Stueckelberg, and introduce the compensation fields necessary for the gauge covariance of the Stueckelberg- Schrödinger equation. T…
Relativistic Brownian Motion
O. Oron, L. P. Horwitz
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1+1 and 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the i…
Eikonal Approximation to 5D Wave Equations as Geodesic Motion in a Curved 4D Spacetime
O. Oron, L. P. Horwitz
We first derive the relation between the eikonal approximation to the Maxwell wave equations in an inhomogeneous anisotropic medium and geodesic motion in a three dimensional Riema…