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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
Arxiv Link: (pdf)
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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
Academic field: Physics
  • Gravitation, Cosmology and Astroparticle Physics
  • Quantum Physics
Approach: Theoretical


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.

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Submission 2211.04795v1 on 10 November 2022

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