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Noether's Theorem, Conservation of Momentum, and Gravitation in Isolated Multiparticle Systems
by Walter Smilga
Submission summary
| Authors (as Contributors): | Walter Smilga |
| Submission information | |
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| Arxiv Link: | https://arxiv.org/abs/2211.04795v1 (pdf) |
| Code repository: | https://doi.org/10.48550/arXiv.2211.04795 |
| Date submitted: | 2022-11-10 11:55 |
| Submitted by: | Smilga, Walter |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Conservation of the total momentum of isolated multiparticle systems implies that there are constraints on the internal dynamics of the system. Meanwhile, constraints on the dynamics lead to constraints on the kinematics in spacetime. These kinematical constraints force the particles into orbits that span a 3+1-dimensional pseudo-Riemannian manifold. This manifold is described by the field equations of conformal gravity. A quantisation of this manifold leads to a consistent quantum gravity with conformal gravity as its quasi-classical limit of large quantum numbers. The close connection between the conservation of momentum and gravity provides a new, in-depth understanding of both classical and quantum gravity.
Current status:
Voting in preparation