This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)
This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations.(October 2018) (Learn how and when to remove this message)
This article may require cleanup to meet Wikipedia's quality standards. The specific problem is: each paragraph's source is a mess of broken lines. Please help improve this article if you can.(March 2019) (Learn how and when to remove this message)
(Learn how and when to remove this message)
In mathematical physics, the concept of quantum spacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily commute are assumed not to commute and form a different Lie algebra. The choice of that algebra still varies from theory to theory.
As a result of this change some variables that are usually continuous may become discrete.
Often only such discrete variables are called "quantized"; usage varies.
The idea of quantum spacetime was proposed in the early days of quantum theory by Heisenberg and Ivanenko as a way to eliminate infinities from quantum field theory.
The germ of the idea passed from Heisenberg to Rudolf Peierls, who noted that electrons in a magnetic field can be regarded as moving in a quantum spacetime, and to Robert Oppenheimer, who carried it to Hartland Snyder,
who published the first concrete example.[1]
Snyder's Lie algebra was made simple by C. N. Yang in the same year.
In mathematical physics, the concept of quantumspacetime is a generalization of the usual concept of spacetime in which some variables that ordinarily...
into the quantum realm. At distances close to the Planck length, like those near the center of the black hole, quantum fluctuations of spacetime are expected...
physics, quantum field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This...
Quantum foam or spacetime foam is a theoretical quantum fluctuation of spacetime on very small scales due to quantum mechanics. The theory predicts that...
regular spacetime and cannot be determined by "where" or "when". Gravitational singularities exist at a junction between general relativity and quantum mechanics;...
spacetime backgrounds? Are there other theories of quantum gravity other than string theory that admit a holographic description? Quantumspacetime or...
Complex spacetime is a mathematical framework that combines the concepts of complex numbers and spacetime in physics. In this framework, the usual real-valued...
of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics...
A wormhole is a hypothetical structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations. A...
words, each quantum number denotes a symmetry of the problem. It is more useful in quantum field theory to distinguish between spacetime and internal...
called it objective reduction. He suggested each quantum superposition has its own piece of spacetime curvature and that when these become separated by...
More technically, quantum geometry refers to the shape of a spacetime manifold as experienced by D-branes which includes quantum corrections to the metric...
curved background spacetime, and define a generalized quantum field theory to describe the behavior of quantum matter within that spacetime. Using this formalism...
approach called Quantum Einstein Gravity, and with other recent theoretical work. Near the Planck scale, the structure of spacetime itself is supposed...
In quantum cosmology, the universe is treated as a wave function instead of classical spacetime. String cosmology Brane cosmology Loop quantum cosmology...
black hole spacetime comes about from the semiclassical limit of the quantum state of the gravitational field, but there are many quantum states that...
strongly correlated quantum liquid states. In a topological field theory, correlation functions do not depend on the metric of spacetime. This means that...
correspondence, Mark Van Raamsdonk suggested that spacetime arises as an emergent phenomenon of the quantum degrees of freedom that are entangled and live...
In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM). This theory is applicable to massive...
addition to classical wave model for understanding optical interference, quantum matter waves also demonstrate interference. The above can be demonstrated...
noncommutative quantum field theory (or quantum field theory on noncommutative spacetime) is an application of noncommutative mathematics to the spacetime of quantum...
explains the force of gravity and the structure of spacetime at the macro-level. The other is quantum mechanics, a completely different formulation, which...
Induced gravity (or emergent gravity) is an idea in quantum gravity that spacetime curvature and its dynamics emerge as a mean field approximation of underlying...
and quantum theory using his own ideas about the possible structure of spacetime.[page needed] He suggested that at the Planck scale curved spacetime is...
(CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime, that is "closed", returning to its starting point. This possibility was...
Global Information
