9 citations · 34 across the 31 of their papers we have counts for
31 papers
The Lorentz Group with Dual-Translations and the Conformal Group
Richard Shurtleff
For those finite-matrix representations of the Lorentz group of rotations/boosts with spin that can also represent translations, two possible translation subgrou…
Testing the Alignment Tendency of Some Polarized Radio Sources
Richard Shurtleff
Measuring the alignment of polarized radio sources requires comparing vectors at different locations on the sky, i.e. on a sphere. A test of alignment is derived herein. While both…
A Large Scale Pattern from Optical Quasar Polarization Vectors
Richard Shurtleff
The 355 optically polarized QSOs have redshifts from 0.061 to 3.94 and are spread out over the sky except for a 60 degree band centered on the Galactic Equator. The data we analyze…
Scattering Relativity in Quantum Mechanics
Richard Shurtleff
By adding generalizations involving translations, the machinery of the quantum theory of free fields leads to the semiclassical equations of motion for a charged massive particle i…
U(N) Based Transformations in N-Squared Dimensions
Richard Shurtleff
Consider the example of the relationship of the group O(3) of rotations in 3-space to the special unitary group SU(2). Given other unitary groups, what transformations can we find?…
A Spacetime for SU(N)
Richard Shurtleff
The rotations, boosts, and translations in an N^2-dimensional spacetime are shown to be related to the fundamental commutators, anticommutators, and Clebsch-Gordan coefficients, re…