76 citations · 277 across the 26 of their papers we have counts for
4 papers · 1 filter
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 brief study of time
James M. Chappell, John G. Hartnett, Azhar Iqbal +2
Understanding the nature of time remains a key unsolved problem in science. Newton in the Principia asserted an absolute universal time that {\it `flows equably'}. Hamilton then pr…
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…