Research ArticleOpen AccessGoogle Scholar indexed
Including Space-Time in the Extended Group <i>Cl</i><sub>3</sub><sup style='margin-left:-8px;'>*</sup> of Relativistic Form-Invariance
Pouillé-les-Coteaux, France
Saint-Gratien, France
- 1 Pouillé-les-Coteaux, France
- 2 Saint-Gratien, France
Journal of Modern Physics·Volume 13 (2022)·Pages 1147–1156·Published 12 August 2022·DOI10.4236/jmp.2022.138066
Copy link · social · email
Abstract
The inclusion of space-time in the extended group of relativistic form-invariance, Cl 3 * , is specified as the inclusion of the whole space-time manifold in this multiplicative Lie group. First physical results presented here are: the geometric origin of the time arrow, a better understanding of the non-simultaneity in optics and a mainly geometric origin for the universe expansion, and its recent acceleration.
KeywordsSpace-Time ManifoldInvariance GroupStandard ModelAcceleration of Expansion
- Daviau, C. (1996) Dirac Equation in the Clifford Algebra of Space. Springer, Boston, 67-88. https://doi.org/10.1007/978-94-011-5036-1_8
- Daviau, C. (1997) Annales de la Fondation Louis de Broglie, 22, 87-103. https://doi.org/10.3406/rde.1997.1378
- Daviau, C. (1998) Annales de la Fondation Louis de Broglie, 23, 27-37.
- Daviau, C. (2005) Annales de la Fondation Louis de Broglie, 30, 409-428. https://fondationlouisdebroglie.org/AFLB-303/aflb303m398.htm
- Daviau, C. and Bertrand, J. (2014) New Insights in the Standard Model of Quantum Physics in Clifford Algebra. Je Publie, Pouillé-les-coteaux. https://hal.archives-ouvertes.fr/hal-00907848v1 https://doi.org/10.1142/9780
- Daviau, C. and Bertrand, J. (2014) Journal of Modern Physics, 5, 1001-1022. https://doi.org/10.4236/jmp.2014.511102
- Daviau, C. and Bertrand, J. (2014) Journal of Modern Physics, 5, 2149-2173. https://doi.org/10.4236/jmp.2014.518210
- Daviau, C. and Bertrand, J. (2015) Annales de la Fondation Louis de Broglie, 40, 181-209.
- Daviau, C. and Bertrand, J. (2015) Journal of Modern Physics, 6, 2080-2092. https://doi.org/10.4236/jmp.2015.614215
- Daviau, C. and Bertrand, J. (2015) Journal of Applied Mathematics and Physics, 3, 46-61. https://doi.org/10.4236/jamp.2015.31007
- Daviau, C. and Bertrand, J. (2016) The Standard Model of Quantum Physics in Clifford Algebra. World Scientific, Singapore. https://doi.org/10.1142/9780
- Daviau, C. and Bertrand, J. (2016) Journal of Modern Physics, 7, 936-951. https://doi.org/10.4236/jmp.2016.79086
- Daviau, C., Bertrand, J., Socroun, T. and Girardot, D. (2019) Modèle Standard et Gravitation. Presses des Mines, Paris.
- Daviau, C., Bertrand, J., Socroun, T. and Girardot, D. (2020) Developing a Theory of Everything. Annales de la Fondation Louis de Broglie, Paris. https://fondationlouisdebroglie.org/MEMOS/ToEAFLB.pdf
- Daviau, C., Bertrand, J., Socroun, T. and Girardot, D. (2022) Developing the Theory of Everything. Annales de la Fondation Louis de Broglie, Paris. https://www.researchgate.net/publication/362092441_Developing_the_Theory_of_Everything
- Dirac, P.A.M. (1928) Proceedings of the Royal Society of London. Series A, 117, 610-624. https://doi.org/10.1098/rspa.1928.0023