# name
General very special relativity is Finsler geometry

# metadata.dc.description.abstract[].value
We ask whether Cohen and Glashow’s very special relativity model for Lorentz violation might be modified, perhaps by quantum corrections, possibly producing a curved space-time with a cosmological constant. We show that its symmetry group ISIM(2) does admit a 2-parameter family of continuous deformations, but none of these give rise to noncommutative translations analogous to those of the de Sitter deformation of the Poincaré group: space-time remains flat. Only a 1-parameter family 
DISIM
b
(
2
)
 of deformations of SIM(2) is physically acceptable. Since this could arise through quantum corrections, its implications for tests of Lorentz violations via the Cohen-Glashow proposal should be taken into account. The Lorentz-violating point-particle action invariant under 
DISIM
b
(
2
)
 is of Finsler type, for which the line element is homogeneous of degree 1 in displacements, but anisotropic. We derive 
DISIM
b
(
2
)
-invariant wave equations for particles of spins 0, 
1
2
, and 1. The experimental bound, 
|
b
|
<
10
−
26
, raises the question “Why is the dimensionless constant 
b
 so small in very special relativity?”

# metadata.dc.relation.isformatof[].value
Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.76.081701

# metadata.dc.source[].value
Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
General very special relativity is Finsler geometry