13 citations · 17 across the 4 of their papers we have counts for
4 papers
A fields only version of the Lorentz Force Law: Particles replaced by their fields
Philip H. Butler, Niels G. Gresnigt, Martin B. van der Mark +1
We show that the Lorentz force law, F^L_1=q_1(E+v_1xB) being the charge on particle 1 interacting with the electromagnetic fields due to all other particles, can be written in a pu…
Assumptions and Axioms: Mathematical Structures to Describe the Physics of Rigid Bodies
Philip H. Butler, Niels G. Gresnigt, Peter F. Renaud
This paper challenges some of the common assumptions underlying the mathematics used to describe the physical world. We start by reviewing many of the assumptions underlying the co…
A Barzilai-Borwein -Regularized Least Squares Algorithm for Compressed Sensing
R. Broughton, I. Coope, P. Renaud +1
Problems in signal processing and medical imaging often lead to calculating sparse solutions to under-determined linear systems. Methodologies for solving this problem are presente…
The Stabilized Poincare-Heisenberg algebra: a Clifford algebra viewpoint
N. G. Gresnigt, P. F. Renaud, P. H. Butler
The stabilized Poincare-Heisenberg algebra (SPHA) is the Lie algebra of quantum relativistic kinematics generated by fifteen generators. It is obtained from imposing stability cond…