Spacetime symmetries are features of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important...

important subclass of continuous symmetries in physics are spacetime symmetries. Continuous spacetime symmetries are symmetries involving transformations of...

may have internal symmetries in addition to spacetime symmetries. In many situations, one needs fields which are a list of spacetime scalars: (φ1, φ2,...

breaking of internal symmetries, when spacetime symmetries such as Lorentz, conformal, rotational, or translational symmetries are broken, the order...

stating that spacetime and internal symmetries can only combine in a trivial way. This means that the charges associated with internal symmetries must always...

may have certain symmetries, though their solutions may not (the symmetries are "hidden"). One of the first cases of broken symmetry discussed in the...

Symmetries in quantum mechanics describe features of spacetime and particles which are unchanged under some transformation, in the context of quantum mechanics...

the more familiar symmetries of quantum field theory. These symmetries are grouped into the Poincaré group and internal symmetries and the Coleman–Mandula...

expectation for asymptotically flat spacetime symmetries might be simply to extend and reproduce the symmetries of flat spacetime of special relativity, viz....

symmetries in physics include continuous symmetries and discrete symmetries of spacetime; internal symmetries of particles; and supersymmetry of physical...

material with various equations of state.) Static spacetime Stationary spacetime Spacetime symmetries De Sitter space Hamilton, Andrew J.S.; Avelino, Pedro...

expectation for asymptotically flat spacetime symmetries might be simply to extend and reproduce the symmetries of flat spacetime of special relativity, viz....

induced symmetries. Similarly, if there are symmetries of the space (or time) domain in which the random variables exist (also called spacetime symmetries),...

reader, the naive expectation for asymptotically flat spacetime symmetries, i.e., symmetries of spacetime seen by observers located far away from all sources...

The last two symmetries, J and K, together make the Lorentz group (see also Lorentz invariance); the semi-direct product of the spacetime translations...

There are many symmetries in nature besides time translation, such as spatial translation or rotational symmetries. These symmetries can be broken and...

generators are considered, then the only way to nontrivially mix spacetime and internal symmetries is through supersymmetry. The anticommutating generators must...

to spacetime symmetries are spin (related to rotational symmetry), the parity, C-parity and T-parity (related to the Poincaré symmetry of spacetime). Typical...

of local symmetries is infinite dimensional, these do not necessarily extend to a Lie group of well-defined global symmetries. For spacetime dimension...

important discrete symmetries are P-symmetry (parity) and T-symmetry (time reversal). These discrete symmetries, C, P and T, are symmetries of the equations...

interpreted as a quantum spacetime, but the following desiderata have been suggested: Local Lorentz group and Poincaré group symmetries should be retained,...

A spacetime diagram is a graphical illustration of locations in space at various times, especially in the special theory of relativity. Spacetime diagrams...

group may describe finitely many or infinitely many symmetries; if there are only finitely many symmetries, it is called a finite group. Mathematicians often...

connects disparate points in spacetime. It can be visualized as a tunnel with two ends at separate points in spacetime (i.e., different locations, different...

While the spacetime symmetries in the Poincaré group are particularly easy to visualize and believe, there are also other types of symmetries, called internal...

physics, Minkowski space (or Minkowski spacetime) (/mɪŋˈkɔːfski, -ˈkɒf-/) is the main mathematical description of spacetime in the absence of gravitation. It...

model that has symmetries of this kind, together with a set of techniques for making physical predictions consistent with the symmetries of the model....

_{a}(U^{b}X_{b})=0} This aids in analytically studying motions in a spacetime with symmetries. Given a conserved, symmetric tensor ⁠ T a b {\displaystyle T^{ab}}...

related the local spacetime curvature (expressed by the Einstein tensor) with the local energy, momentum and stress within that spacetime (expressed by the...

of the representation theory of the Galilean group, which is the spacetime symmetry group of nonrelativistic quantum mechanics. In 3 + 1 dimensions, this...