English

Physical Consequences of the Jacobi Identity

Mathematical Physics 2015-10-23 v1 math.MP

Abstract

Assuming special relativity and Hamiltonian particle dynamics for a noncanonical Poisson bracket, the Jacobi identity is shown to have nontrivial physical consequences, including the homogeneous Maxwell equations and the geodesic law of motion of curved spacetime.

Keywords

Cite

@article{arxiv.1510.06455,
  title  = {Physical Consequences of the Jacobi Identity},
  author = {Eric C. D'Avignon},
  journal= {arXiv preprint arXiv:1510.06455},
  year   = {2015}
}