Abstract
Galilei-Newton spacetime G with its Galilei group can be understood as a ‘degeneration’ as c→ ∞ of Minkowski spacetime M with its Poincaré group. G does not have a spacetime metric and its Galilei symmetry transformations do not include energy; but Bargmann-Galilei spacetime BG, a 5-dimensional extension that preserves Galilei physics, remedies these infelicities. Here an analogous Bargmann-Minkowski spacetime BM is described. While not necessary for Poincaré physics, it may illuminate a path towards a more extensive ‘Galilei general relativity’ than is presently known, which would be a useful—and conceptually and mathematically sound—approximation in astrophysical scenarios such as core-collapse supernovae.
| Original language | English |
|---|---|
| Title of host publication | Geometric Science of Information - 6th International Conference, GSI 2023, Proceedings |
| Editors | Frank Nielsen, Frédéric Barbaresco |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 69-78 |
| Number of pages | 10 |
| ISBN (Print) | 9783031382987 |
| DOIs | |
| State | Published - 2023 |
| Event | The 6th International Conference on Geometric Science of Information, GSI 2023 - St. Malo, France Duration: Aug 30 2023 → Sep 1 2023 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 14072 LNCS |
| ISSN (Print) | 0302-9743 |
| ISSN (Electronic) | 1611-3349 |
Conference
| Conference | The 6th International Conference on Geometric Science of Information, GSI 2023 |
|---|---|
| Country/Territory | France |
| City | St. Malo |
| Period | 08/30/23 → 09/1/23 |
Funding
AM and SH wish to thank the ANR French funding agency for support (MULTIBIOSTRUCT project ANR-19-CE45-0019). DP acknowledges support from projects PID2020-112754GB-I0, MCIN/AEI /10.13039/501100011033 and FEDER/Junta de Andalucía-Consejería de Transfor-mación Económica, Industria, Conocimiento y Universidades/Proyecto (B-TIC-640-UGR20). Acknowledgements. This work is in part supported by the French government under management of Agence Nationale de la Recherche as part of the “Investissements d’avenir” program, reference ANR-19-P3IA-0001 (PRAIRIE 3IA Institute). Fig. 5. Top Left: example of corpus callosum S2 where the maximum of Fiedler vector (yellow dot on the right) is not correctly located. Bottom left: perturbed Fiedler vector from the correct position of the maximum. Right: Thickness profiles for the two corpus callosum S1 and S2. In black the same shape with the perturbed and unperturbed parameterization. (Color figure online) Acknowledgements. This project is funded by the French National Agency for Research (ANR-19-CE17-0028-01) and the French National Institute for Public Health research (IRESP-19-ADDICTIONS-08). Acknowledgements. I would like to thank Gerald Goldin and Francois Gay-Balmaz for thought-provoking discussions. The author was supported by a grant of the Romanian Ministry of Education and Research, CNCS-UEFISCDI, project number PN-III-P4-ID-PCE-2020-2888, within PNCDI III. Partially supported by JSPS KAKENHI 19K14540, 22H01138. Acknowledgement. HY is partially supported by JSPS Grant-in-Aid for Scientific Research (22K03443), JST CREST (JPMJCR1914), Waseda University (SR 2023C-089), and the MEXT ”Top Global University Project”, SEES. FGB is partially supported by CNCS UEFISCDI, project number PN-III-P4-ID-PCE-2020-2888. FMC and LG-B acknowledge that this work has been supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of “Research Funds for Beatriz Galindo Fellowships” (C&QIG-BG-CM-UC3M), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). FDC thanks the UC3M, the European Commission through the Marie Sklodowska-Curie COFUND Action (H2020-MSCA-COFUND-2017-GA 801538)for their financial support through the CONEX-Plus Programme. This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy. gov/downloads/doe-public-access-plan). Acknowledgement. The author would like to thank Dr. Daisuke Tarama for supporting this work partly by JSPS KAKENHI Grant number 19K14540. Supported by the ANR-11-LABX-0020-0 program Henri Lebesgue Center. ARA is supported by Ministerio de Universidades, Spain, under an FPU grant and partially supported by Ministerio de Ciencia e Innovación, Spain, under grant PID2021-126124NB-I00. FGB is partially supported by CNCS UEFISCDI, project number PN-III-P4-ID-PCE-2020-2888. HY is partially supported by JSPS Grant-in-Aid for Scientific Research (22K03443), JST CREST (JPMJCR1914), Waseda University (SR 2022C-423), and the MEXT “Top Global University Project”, SEES. Supported by the AID from the French Ministry of the Armed Forces. Supported by UCSC, D1 funds. This work was made possible through the support of Grant 62210 from the John Templeton Foundation. The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of the John Templeton Foundation. Acknowledgements. Work supported by #NEXTGENERATIONEU (NGEU) and funded by the Ministry of University and Research (MUR), National Recovery and Resilience Plan (NRRP), project MNESYS (PE0000006) – A Multiscale integrated approach to the study of the nervous system in health and disease (DN. 1553 11.10.2022). Supported by UFD-SF-UMa. Supported by the Max Planck Institute for Mathematics in Sciences. Acknowledgements. RB is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Project-ID 274762653 - TRR 181. Acknowledgements. The authors thank Lyudmila Grigoryeva for helpful discussions and remarks and acknowledge partial financial support from the Swiss National Science Foundation (grant number 175801/1) and the School of Physical and Mathematical Sciences of the Nanyang Technological University. DY is funded by the Nanyang President’s Graduate Scholarship of Nanyang Technological University. Acknowledgements. The authors would like to thank the editor and the anonymous reviewers for their valuable comments. The authors also wish to thank Professor Donghua Shi of Beijing Institute of Technology, Professor Wei Chen of Peking University, and Doctors Xinchao Hu, Ganghui Cao, and Yuxi Cao for their kind help and valuable discussions. The authors acknowledge the financial support from NSFC Grant T2121002 and 61973005. Acknowledgements. Work partially funded by Agencia Estatal de Investigación (Spain), under grantno. PID2021-126124NB-I00.
| Funders | Funder number |
|---|---|
| ANR-11-LABX-0020-0 program Henri Lebesgue Center | |
| ANR-19-P3IA-0001 | |
| French National Institute for Public Health research | IRESP-19-ADDICTIONS-08 |
| NGEU | |
| Nanyang President’s Graduate Scholarship of Nanyang Technological University | |
| National Recovery and Resilience Plan | 1553 11.10.2022, PE0000006 |
| School of Physical and Mathematical Sciences of the Nanyang Technological University | |
| U.S. Department of Energy | |
| John Templeton Foundation | |
| University of California, Santa Cruz | |
| Solar Energy and Energy Storage | |
| European Commission | H2020-MSCA-COFUND-2017-GA 801538 |
| Deutsche Forschungsgemeinschaft | 274762653 - TRR 181 |
| Agence Nationale de la Recherche | ANR-19-CE17-0028-01 |
| Japan Society for the Promotion of Science | 22H01138, 19K14540, 22K03443 |
| Ministry of Education, Culture, Sports, Science and Technology | |
| Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung | 175801/1 |
| National Natural Science Foundation of China | 61973005, T2121002 |
| Fundação para a Ciência e a Tecnologia | UIDP/00048/2020 |
| Core Research for Evolutional Science and Technology | JPMJCR1914 |
| Ministero dell’Istruzione, dell’Università e della Ricerca | |
| Ministry of Education and Science of the Russian Federation | 075-15-2022-289 |
| Waseda University | SR 2022C-423, SR 2023C-089 |
| Ministerio de Ciencia e Innovación | |
| Ministério da Ciência, Tecnologia e Ensino Superior | |
| Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii | PN-III-P4-ID-PCE-2020-2888 |
| Ministry of Education and Research, Romania | |
| Agencia Estatal de Investigación | PID2021-126124NB-I00 |
| Max-Planck-Institut für Mathematik in den Naturwissenschaften | |
| Ministère des Armées | |
| Ministerio de Universidades |
Keywords
- Bargmann group
- Galilei group
- Poincaré group
- Relativity