Emergent metric space-time from matrix theory
Abstract The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite in extent, both in space and in time...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)031 |
| _version_ | 1798003124125827072 |
|---|---|
| author | Suddhasattwa Brahma Robert Brandenberger Samuel Laliberte |
| author_facet | Suddhasattwa Brahma Robert Brandenberger Samuel Laliberte |
| author_sort | Suddhasattwa Brahma |
| collection | DOAJ |
| description | Abstract The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite in extent, both in space and in time, and that the metric is spatially flat. The time evolution describes the transition from a string-theoretic emergent phase to a phase in which the SO(9) symmetry of the model is spontaneously broken to SO(6) × SO(3), with three dimensions of space expanding, becoming classical and at later times evolving like in a radiation-dominated universe, and the remaining six dimensions of space stabilized at the string scale. We speculate on how this analysis can be extended to yield an early universe cosmology which, in addition to the above-mentioned properties, also leads to a roughly scale-invariant spectrum of cosmological fluctuations and gravitational waves. |
| first_indexed | 2024-04-11T12:02:47Z |
| format | Article |
| id | doaj.art-55a00b4ae47242168d66a5350eb2103d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T12:02:47Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-55a00b4ae47242168d66a5350eb2103d2022-12-22T04:24:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022911810.1007/JHEP09(2022)031Emergent metric space-time from matrix theorySuddhasattwa Brahma0Robert Brandenberger1Samuel Laliberte2Higgs Centre for Theoretical Physics, School of Physics & Astronomy, University of EdinburghDepartment of Physics, McGill UniversityDepartment of Physics, McGill UniversityAbstract The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence that the emergent space-time is continuous and infinite in extent, both in space and in time, and that the metric is spatially flat. The time evolution describes the transition from a string-theoretic emergent phase to a phase in which the SO(9) symmetry of the model is spontaneously broken to SO(6) × SO(3), with three dimensions of space expanding, becoming classical and at later times evolving like in a radiation-dominated universe, and the remaining six dimensions of space stabilized at the string scale. We speculate on how this analysis can be extended to yield an early universe cosmology which, in addition to the above-mentioned properties, also leads to a roughly scale-invariant spectrum of cosmological fluctuations and gravitational waves.https://doi.org/10.1007/JHEP09(2022)031M(atrix) TheoriesCosmology of Theories BSMString ModelsModels of Quantum Gravity |
| spellingShingle | Suddhasattwa Brahma Robert Brandenberger Samuel Laliberte Emergent metric space-time from matrix theory Journal of High Energy Physics M(atrix) Theories Cosmology of Theories BSM String Models Models of Quantum Gravity |
| title | Emergent metric space-time from matrix theory |
| title_full | Emergent metric space-time from matrix theory |
| title_fullStr | Emergent metric space-time from matrix theory |
| title_full_unstemmed | Emergent metric space-time from matrix theory |
| title_short | Emergent metric space-time from matrix theory |
| title_sort | emergent metric space time from matrix theory |
| topic | M(atrix) Theories Cosmology of Theories BSM String Models Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP09(2022)031 |
| work_keys_str_mv | AT suddhasattwabrahma emergentmetricspacetimefrommatrixtheory AT robertbrandenberger emergentmetricspacetimefrommatrixtheory AT samuellaliberte emergentmetricspacetimefrommatrixtheory |