7 citations · 7 across the 4 of their papers we have counts for
11 papers
The Lorentz Force Law and Spacetime Symmetries
Richard Shurtleff
Assume that arc length is measured with the flat spacetime metric. Then, for the most general Poincare group representation for translating 4-vectors, curves with parallel translat…
Poincare Connections in Flat Spacetime
Richard Shurtleff
In flat spacetime, as a simple 4-vector, a particle's 4-velocity cannot be changed by translation. Parallel translation then produces constant velocity, motion without force. Here…
Spin 1/2 and Invariant Coefficients II. Massless
Richard Shurtleff
A `covariant' field that transforms like a relativistic field operator is required to be a linear combination of `canonical' fields that transform like annihilation and creation op…
Massless Particle Fields, with Momentum Matrices
Richard Shurtleff
Nontrivial translation matrices occur for spin (A,B)+(C,D) with |A-C| = |B-D| = 1/2, necessarily associating a (C,D) field with a spin (A,B) field. Including translation matrices i…
Rotations and e, Propagators, Part III
Richard Shurtleff
In Parts I and II we showed that e, propagators can be derived from rotation invariant projection operators, thereby providing examples of how quantities with spacetime symmetr…
Rotations and e, Propagators, Part II
Richard Shurtleff
We continue to derive spacetime quantities and spin 1/2 propagators from rotations. Rotation-invariant projection operators are found for each element of a four element basis, i.e.…