Braid statistics
Encyclopedia
In mathematics
and theoretical physics
, braid statistics is a generalization of the statistics of boson
s and fermion
s based on the concept of braid group
. A similar notion exists using a loop braid group
.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and theoretical physics
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
, braid statistics is a generalization of the statistics of boson
Boson
In particle physics, bosons are subatomic particles that obey Bose–Einstein statistics. Several bosons can occupy the same quantum state. The word boson derives from the name of Satyendra Nath Bose....
s and fermion
Fermion
In particle physics, a fermion is any particle which obeys the Fermi–Dirac statistics . Fermions contrast with bosons which obey Bose–Einstein statistics....
s based on the concept of braid group
Braid group
In mathematics, the braid group on n strands, denoted by Bn, is a group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group Sn. Here, n is a natural number; if n > 1, then Bn is an infinite group...
. A similar notion exists using a loop braid group
Loop braid group
The loop braid group is a mathematical group structure that is used in some models of theoretical physics to model the exchange of particles with loop-like topologies within three dimensions of space and time....
.
See also
- Braid symmetry
- ParastatisticsParastatisticsIn quantum mechanics and statistical mechanics, parastatistics is one of several alternatives to the better known particle statistics models...
- Plekton