Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting
The causal set program and the Wolfram physics project leave open the problem of how a graph that is a (3+1)-dimensional Minkowski spacetime according to its simple geodesic distances could be generated solely from simple deterministic rules. This paper provides a solution by describing simple rules...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/3/149 |
| _version_ | 1797441295306719232 |
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| author | Gabriel Leuenberger |
| author_facet | Gabriel Leuenberger |
| author_sort | Gabriel Leuenberger |
| collection | DOAJ |
| description | The causal set program and the Wolfram physics project leave open the problem of how a graph that is a (3+1)-dimensional Minkowski spacetime according to its simple geodesic distances could be generated solely from simple deterministic rules. This paper provides a solution by describing simple rules that characterize discrete Lorentz boosts between 4D lattice graphs, which combine further to form Wigner rotations that produce isotropy and lead to the emergence of the continuous Lorentz group and the (3+1)-dimensional Minkowski spacetime. On such graphs, the speed of light, the proper time interval, as well as the proper length are all shown to be highly accurate. |
| first_indexed | 2024-03-09T12:20:59Z |
| format | Article |
| id | doaj.art-9364972c9d824b24a68997fe7254d55d |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:20:59Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-9364972c9d824b24a68997fe7254d55d2023-11-30T22:40:27ZengMDPI AGUniverse2218-19972022-02-018314910.3390/universe8030149Emergence of Minkowski Spacetime by Simple Deterministic Graph RewritingGabriel Leuenberger0Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, 9747 AG Groningen, The NetherlandsThe causal set program and the Wolfram physics project leave open the problem of how a graph that is a (3+1)-dimensional Minkowski spacetime according to its simple geodesic distances could be generated solely from simple deterministic rules. This paper provides a solution by describing simple rules that characterize discrete Lorentz boosts between 4D lattice graphs, which combine further to form Wigner rotations that produce isotropy and lead to the emergence of the continuous Lorentz group and the (3+1)-dimensional Minkowski spacetime. On such graphs, the speed of light, the proper time interval, as well as the proper length are all shown to be highly accurate.https://www.mdpi.com/2218-1997/8/3/149causal setisotropyWigner rotationLorentz symmetryemergenceMinkowski spacetime |
| spellingShingle | Gabriel Leuenberger Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting Universe causal set isotropy Wigner rotation Lorentz symmetry emergence Minkowski spacetime |
| title | Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting |
| title_full | Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting |
| title_fullStr | Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting |
| title_full_unstemmed | Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting |
| title_short | Emergence of Minkowski Spacetime by Simple Deterministic Graph Rewriting |
| title_sort | emergence of minkowski spacetime by simple deterministic graph rewriting |
| topic | causal set isotropy Wigner rotation Lorentz symmetry emergence Minkowski spacetime |
| url | https://www.mdpi.com/2218-1997/8/3/149 |
| work_keys_str_mv | AT gabrielleuenberger emergenceofminkowskispacetimebysimpledeterministicgraphrewriting |