Another derivation of Weinberg's formula

Details Another derivation of Weinberg's formula Another derivation of Weinberg's formula

2007-05-21

arxiv.org/abs/0705.2951v6

Physics Letters B 659 (2008) 707-711

Physics

Quantum Physics

14 pages, to be published in Physics Letters B

Scientific paper

10.1016/j.physletb.2007.11.040

To investigate how quantum effects might modify special relativity, we will study a Lorentz transformation between classical and quantum reference frames and express it in terms of the four-dimensional (4D) momentum of the quantum reference frame. The transition from the classical expression of the Lorentz transformation to a quantum-mechanical one requires us to symmetrize the expression and replace all its dynamical variables with the corresponding operators, from which we can obtain the same conclusion as that from quantum field theory (given by Weinberg's formula): owing to the Heisenberg's uncertainty relation, a particle (as a quantum reference frame) can propagate over a spacelike interval.

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