arXiv subjects

W. D. Flanders

Publications and source records attributed to W. D. Flanders.

3 recordsLinked to original sources

arXiv2011

On approximating two distributions from a single complex-valued function

We consider the problem of approximating two, possibly unrelated probability distributions from a single complex-valued function $ψ$ and its Fourier transform. We show that this problem always has a solution within a specified degree of accuracy, provided the distributions satisfy the necessary regularity conditions. We describe the algorithm and construction of $ψ$ and provide examples of approximating several pairs of distributions using the algorithm.

math-ph↗

arXiv2004

Photon deflection and precession of the periastron in terms of spatial gravitational fields

We show that a Maxwell-like system of equations for spatial gravitational fields $\bf g$ and $\bf B$ (latter being the analogy of a magnetic field), modified to include an extra term for the $\bf B$ field in the expression for force, leads to the correct values for the photon deflection angle and for the precession of the periastron.

gr-qc↗

arXiv2001

On a description of Gravitational Interaction between moving objects in terms of Spatial Gravitational Fields

Analyzing two simple experimental situations we show that from Newton's law of gravitation and Special Relativity it follows that the motion of particle in an external gravitational field can be described in terms of effective spatial fields which satisfy Maxwell-like system of equations and propagate with the speed of light. The description is adequate in a linear approximation in gravitational field and in a first order in v^2/c^2.

gr-qc↗