4 citations · 4 across the 3 of their papers we have counts for
4 papers
Hilbert's forgotten equation, the equivalence principle and velocity dependence of free fall
David L. Berkahn, James M. Chappell, Derek Abbott
Referring to the behavior of accelerating objects in special relativity, and applying the principle of equivalence, one expects that the coordinate acceleration of point masses und…
Generalizing the Lorentz transformations
James M. Chappell, David L. Berkahn, Nicolangelo Iannella +3
In this paper we develop a framework allowing a natural extension of the Lorentz transformations. To begin, we show that by expanding conventional four-dimensional spacetime to eig…
A new derivation of the Minkowski metric
James M. Chappell, John G. Hartnett, Nicolangelo Iannella +3
The four dimensional spacetime continuum, as first conceived by Minkowski, has become the dominant framework within which to describe physical laws. In this paper, we show how this…
Generalized Minkowski spacetime with geometric algebra
James M. Chappell, David L. Berkahn, Derek Abbott
We begin from the generalised eight-dimensional Minkowski spacetime structure, previously developed in Clifford geometric algebra . We propose that this is the corr…