Spacetime topology is the topological structure of spacetime, a topic studied primarily in general relativity. This physical theory models gravitation...

Greene, D.R. Morrison, "Calabi–Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory". Nuclear Physics. B416 (1994) 414–480. B...

cosmology, topology can be used to describe the overall shape of the universe. This area of research is commonly known as spacetime topology. In condensed...

In physics, spacetime is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum...

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

to the mathematics of curved spacetime Discrete differential geometry Gauss Glossary of differential geometry and topology Important publications in differential...

of curved spacetime instead of being due to a force propagated between bodies. In Einstein's theory, energy and momentum distort spacetime in their vicinity...

that spacetime is fundamentally discrete (a collection of discrete spacetime points, called the elements of the causal set) and that spacetime events...

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

Derivations of relativity Spacetime diagrams Differential geometry Curved spacetime Mathematics of general relativity Spacetime topology Physics portal  Category...

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

Robert H. (1974), "Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions"...

primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity explains...

Minkowski spacetime contains a compact region Ω, and if the topology of Ω is of the form Ω ~ S × Σ, where Σ is a three-manifold of the nontrivial topology, whose...

reference frame).: ch1  Four-vectors describe, for instance, position xμ in spacetime modeled as Minkowski space, a particle's four-momentum pμ, the amplitude...

Complex spacetime is a mathematical framework that combines the concepts of complex numbers and spacetime in physics. In this framework, the usual real-valued...

cones representing the light tracking into and out of 0 ∈ A, suggest spacetime topology. The light-like vectors of Minkowski space are null vectors. The four...

points, i.e. events of spacetime. To express the invariance of the speed of light in mathematical form, fix two events in spacetime, to be recorded in each...

crystal configurations is equivalent to a path integral over changes in spacetime topology supported in small regions with area of order the product of the string...

introduction to the mathematics of curved spacetime Bott, R. and Tu, L.W., 1982. Differential forms in algebraic topology (Vol. 82, pp. xiv+-331). New York:...

David R. (1994). "Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory". Nuclear Physics B. 416 (2): 414. arXiv:hep-th/9309097...

underlying continuous spacetime, and also a reformulation of quantum mechanics. He also hypothesises that the phenomena of topology change and the thermodynamics...

invariance of angular momentum, four-momentum, and other symmetries in spacetime, are described by the Lorentz group, or more generally the Poincaré group...

a four-tensor is an abbreviation for a tensor in a four-dimensional spacetime. General four-tensors are usually written in tensor index notation as...

An asymptotically flat spacetime is a Lorentzian manifold in which, roughly speaking, the curvature vanishes at large distances from some region, so that...

mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute...

Lorentzian manifolds model spacetime in general relativity. The study of manifolds requires working knowledge of calculus and topology. After a line, a circle...

six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that moves at a constant velocity relative to the former...

consequence of the geometry of spacetime. In spite of the fact that the universe is well described by four-dimensional spacetime, there are several reasons...

composed of many cells. Regions of spacetime thus take of the role of agents, and a full description of the topology and dynamics of these may be required...