Ignoring
gravity
In physics, gravity (), also known as gravitation or a gravitational interaction, is a fundamental interaction, a mutual attraction between all massive particles. On Earth, gravity takes a slightly different meaning: the observed force b ...
, experimental bounds seem to suggest that
special relativity
In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between Spacetime, space and time. In Albert Einstein's 1905 paper, Annus Mirabilis papers#Special relativity,
"On the Ele ...
with its
Lorentz symmetry and
Poincaré symmetry describes spacetime. Surprisingly, Bogoslovsky and independently Cohen and Glashow
[
] have demonstrated that a small subgroup of the
Lorentz group
In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for all (non-gravitational) physical phenomena. The Lorentz group is named for the Dutch physi ...
is sufficient to explain all the current bounds.
The minimal
subgroup
In group theory, a branch of mathematics, a subset of a group G is a subgroup of G if the members of that subset form a group with respect to the group operation in G.
Formally, given a group (mathematics), group under a binary operation ...
in question can be described as follows: The
stabilizer of a
null vector
In mathematics, given a vector space ''X'' with an associated quadratic form ''q'', written , a null vector or isotropic vector is a non-zero element ''x'' of ''X'' for which .
In the theory of real bilinear forms, definite quadratic forms an ...
is the
special Euclidean group SE(2), which contains T(2) as the subgroup of
parabolic transformations. This T(2), when extended to include either
parity or
time reversal (i.e. subgroups of the
orthochronous and time-reversal respectively), is sufficient to give us all the standard predictions. Their new symmetry is called very special relativity (VSR).
See also
*
Lorentz violation
References
Theory of relativity
{{relativity-stub