Possibility of FasterThanLight Particles
Abstract
We consider the possibility of describing, within the special theory of relativity, particles with spacelike fourmomentum, which therefore have velocities greater than that of light in vacuum. The usual objections to such particles are discussed, and they are found to be unconvincing within the framework of relativistic quantum theory. A quantum field theory of noninteracting, spinless, fasterthanlight particles is described. The field theory is Lorentzinvariant, but must be quantized with Fermi statistics. The associated particle theory has the property that the particle number is not Lorentzinvariant, and the noparticle state is not Lorentzinvariant either. Nevertheless, the principle of relativity is satisfied. The Lorentz invariance implies a relation between emission and absorption processes, in contradiction to the usual case. Some comments are made about the problem of introducing interactions into the field theory. The limiting velocity is c, but a limit has two sides.
 Publication:

Physical Review
 Pub Date:
 July 1967
 DOI:
 10.1103/PhysRev.159.1089
 Bibcode:
 1967PhRv..159.1089F