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Internal Space-time Symmetries of Massless Particles and Neutrino Polarization as a Consequence of Gauge Invariance
Y. S. Kim
There are gauge-transformation operators applicable to massless spin-1/2 particles within the little-group framework of internal space-time symmetries of massive and massless parti…
Gauge Transformations on Massless Spin-1/2 Particles and Neutrino Polarization as a Consequence of Gauge Invariance
Y. S. Kim
The two-by-two representation of the SL(2,c) group is for spin-1/2 particles. Starting from this two-by-two representation, it is possible to construct the four-by-four matrices fo…
Space-time Symmetry Transformations of Elementary Particles realized in Optics Laboratories
D. Han, Y. S. Kim, Marilyn E. Noz
The second-order differential equation describes harmonic oscillators, as well as currents in LCR circuits. This allows us to study oscillator systems by constructing electronic ci…
Wigner's Photons
Y. S. Kim
If Einstein's photon is , Wigner's photon is its helicity which is a Lorentz-invariant concept coming from the E(2)-like little group for massless particles. In ad…
High-speed Contraction of Transverse Rotations to Gauge Transformations
Y. S. Kim
The Inonu-Wigner contraction is applied to special relativity and the little groups of the Lorentz group. If the O(3) symmetry group for massive particle is boosted to an infinite-…
Lorentz Group derivable from Polarization Optics
D. Han, Y. S. Kim, M. E. Noz
The Lorentz group is the fundamental language for space-time symmetries of relativistic particles. This group can these days be derived from the symmetries observed in other branch…