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This article is cited in 4 scientific papers (total in 4 papers)
New approach to calculating the spectrum of a quantum space–time
A. N. Starodubtsev St. Petersburg State University, , St. Petersburg, Russia
Abstract:
We study the dynamics of a massive pointlike particle coupled to gravity in four space–time dimensions. It has the same degrees of freedom as an ordinary particle{:} its coordinates with respect to a chosen origin (observer) and the canonically conjugate momenta. The effect of gravity is that such a particle is a black hole: its momentum becomes spacelike at a distances to the origin less than the Schwarzschild radius. This happens because the phase space of the particle has a nontrivial structure: the momentum space has curvature, and this curvature depends on the position in the coordinate space. The momentum space curvature in turn leads to the coordinate operator in quantum theory having a nontrivial spectrum. This spectrum is independent of the particle mass and determines the accessible points of space–time.
Keywords:
quantization of gravity, conformal field theory, space–time discreteness, Planck scale.
Received: 15.12.2015
Citation:
A. N. Starodubtsev, “New approach to calculating the spectrum of a quantum space–time”, TMF, 190:3 (2017), 511–518; Theoret. and Math. Phys., 190:3 (2017), 439–445
Linking options:
https://www.mathnet.ru/eng/tmf9128https://doi.org/10.4213/tmf9128 https://www.mathnet.ru/eng/tmf/v190/i3/p511
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Abstract page: | 327 | Full-text PDF : | 119 | References: | 49 | First page: | 24 |
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