In mathematical physics, **Minkowski space** or **Minkowski spacetime** (named after the mathematician Hermann Minkowski) is the mathematical setting in which Einstein's theory of special relativity is most conveniently formulated. In this setting the three ordinary dimensions of space are combined with a single dimension of time to form a four-dimensional manifold for representing a spacetime.

In theoretical physics, Minkowski space is often contrasted with Euclidean space. While a Euclidean space has only spacelike dimensions, a Minkowski space also has **one timelike dimension**. Therefore the symmetry group of a Euclidean space is the Euclidean group and for a Minkowski space it is the Poincaré group.

The spacetime interval between two events in Minkowski space is either:

- space-like,
- light-like ('null') or
- time-like.

Read more about Minkowski Space: History, Structure, Alternative Definition, Lorentz Transformations and Symmetry, Causal Structure, Reversed Triangle Inequality, Locally Flat Spacetime

### Other articles related to "space, minkowski space, minkowski":

... In mathematics, twistor

**space**is the complex vector

**space**of solutions of the twistor equation ... According to Andrew Hodges, twistor

**space**is useful for conceptualizing the way photons travel through

**space**, using four complex numbers ... He also posits that twistor

**space**may aid in understanding the asymmetry of the weak nuclear force ...

... In a physical theory having

**Minkowski space**as the underlying spacetime, the

**space**of physical states is typically a representation of the Poincaré group ... field theory, the physical states are sections of a Poincaré-equivariant vector bundle over

**Minkowski space**... The equivariance condition means that the group acts on the total

**space**of the vector bundle, and the projection to

**Minkowski space**is an equivariant map ...

**Minkowski Space**- Locally Flat Spacetime

... Strictly speaking, the use of the

**Minkowski space**to describe physical systems over finite distances applies only in the Newtonian limit of systems without ... Nevertheless, even in such cases,

**Minkowski space**is still a good description in an infinitesimal region surrounding any point (barring gravitational singularities) ... is described by a curved 4-dimensional manifold for which the tangent

**space**to any point is a 4-dimensional

**Minkowski space**...

... that include time as a fourth coordinate along with the three

**space**coordinates ... of -1 or by keeping time a real quantity and embedding the vectors in a

**Minkowski space**... In a

**Minkowski space**, the scalar product of two four-vectors U = (U0,U1,U2,U3) and V = (V0,V1,V2,V3) is defined as In all the coordinate systems, the (contravariant ...

... In SU(2) gauge theory in 4 dimensional

**Minkowski space**, a gauge transformation corresponds to a choice of an element of the special unitary group SU(2) at each point in spacetime ... If the 3-sphere at infinity is identified with a point, our

**Minkowski space**is identified with the 4-sphere ... Thus we see that the group of gauge transformations vanishing at infinity in

**Minkowski**4-

**space**is isomorphic to the group of all gauge transformations on the 4-sphere ...

### Famous quotes containing the word space:

“True spoiling is nothing to do with what a child owns or with amount of attention he gets. he can have the major part of your income, living *space* and attention and not be spoiled, or he can have very little and be spoiled. It is not what he gets that is at issue. It is how and why he gets it. Spoiling is to do with the family balance of power.”

—Penelope Leach (20th century)