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familiar from quantum mechanics but interpreted in this context as coordinates of a quantum space or spacetime. These relations were proposed by Roger Penrose in his earliest spin network theory of space. It is a toy model of quantum gravity in 3 spacetime dimensions (not the physical 4) with a Euclidean (not the physical Minkowskian) signature.
This is a list of well-known spacetimes in general relativity. [1] Where the metric tensor is given, a particular choice of coordinates is used, but there are often other useful choices of coordinate available.
A graphic representation of Wheeler's calculations of what quantum reality may look like at the Planck length. Quantum foam (or spacetime foam, or spacetime bubble) is a theoretical quantum fluctuation of spacetime on very small scales due to quantum mechanics. The theory predicts that at this small scale, particles of matter and antimatter are ...
In theoretical physics, quantum field theory in curved spacetime (QFTCS) [1] is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory uses a semi-classical approach; it treats spacetime as a fixed, classical background, while giving a quantum-mechanical description of the matter and energy ...
In physics, spacetime is any mathematical model that combines space and time into a single continuum. By doing so, physicists have significantly simplified a large number of physical theories, as well as described in a more uniform way the workings of the universe at both the supergalactic and subatomic levels.
No spacetime is assumed a priori, but rather it is built up by the states of theory themselves – however scattering amplitudes are derived from -point functions (Correlation function) and these, formulated in conventional quantum field theory, are functions of points of a background spacetime. The relation between the background-independent ...
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams are useful in visualizing and understanding relativistic effects, such as how different observers perceive where and when events ...
The phenomenon of dimensional reduction has now been reported in a number of different approaches to quantum gravity. String theory, [2] causal dynamical triangulations, [3] renormalization group approaches, [4] noncommutative geometry, [5] loop quantum gravity [6] and Horava-Lifshitz gravity [7] all find that the dimensionality of spacetime appears to decrease from approximately 4 on large ...