Reducing space-time to binary information
We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the class of space-time manifolds respecting coordina...
| Main Authors: | , , , |
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| Format: | Article |
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IOP
2014
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| Online Access: | https://eprints.nottingham.ac.uk/40862/ |
| _version_ | 1848796149758033920 |
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| author | Weinfurtner, Silke De las Cuevas, Gemma Martin-Delgado, Miguel Angel Briegel, Hans J. |
| author_facet | Weinfurtner, Silke De las Cuevas, Gemma Martin-Delgado, Miguel Angel Briegel, Hans J. |
| author_sort | Weinfurtner, Silke |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the class of space-time manifolds respecting coordinate invariance of general relativity. Space-time fluctuations can be represented in a classical lattice gas model whose Boltzmann weights are constructed with the discretized form of the Einstein–Hilbert action. Within this framework, it is possible to compute basic quantities such as the Ricci curvature tensor and the Einstein equations, and to evaluate the path integral of discrete gravity. The description as a lattice gas model also provides a novel way of quantization and, at the same time, to quantum simulation of fluctuating space-time. |
| first_indexed | 2025-11-14T19:43:24Z |
| format | Article |
| id | nottingham-40862 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:24Z |
| publishDate | 2014 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-408622020-05-04T16:43:06Z https://eprints.nottingham.ac.uk/40862/ Reducing space-time to binary information Weinfurtner, Silke De las Cuevas, Gemma Martin-Delgado, Miguel Angel Briegel, Hans J. We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the class of space-time manifolds respecting coordinate invariance of general relativity. Space-time fluctuations can be represented in a classical lattice gas model whose Boltzmann weights are constructed with the discretized form of the Einstein–Hilbert action. Within this framework, it is possible to compute basic quantities such as the Ricci curvature tensor and the Einstein equations, and to evaluate the path integral of discrete gravity. The description as a lattice gas model also provides a novel way of quantization and, at the same time, to quantum simulation of fluctuating space-time. IOP 2014-02-17 Article PeerReviewed Weinfurtner, Silke, De las Cuevas, Gemma, Martin-Delgado, Miguel Angel and Briegel, Hans J. (2014) Reducing space-time to binary information. Journal of Physics A: Mathematical and Theoretical, 47 (9). 095301/1-095301/14. ISSN 1751-8121 http://iopscience.iop.org/article/10.1088/1751-8113/47/9/095301/meta doi:10.1088/1751-8113/47/9/095301 doi:10.1088/1751-8113/47/9/095301 |
| spellingShingle | Weinfurtner, Silke De las Cuevas, Gemma Martin-Delgado, Miguel Angel Briegel, Hans J. Reducing space-time to binary information |
| title | Reducing space-time to binary information |
| title_full | Reducing space-time to binary information |
| title_fullStr | Reducing space-time to binary information |
| title_full_unstemmed | Reducing space-time to binary information |
| title_short | Reducing space-time to binary information |
| title_sort | reducing space-time to binary information |
| url | https://eprints.nottingham.ac.uk/40862/ https://eprints.nottingham.ac.uk/40862/ https://eprints.nottingham.ac.uk/40862/ |