{ "id": "1510.06455", "version": "v1", "published": "2015-10-21T22:56:46.000Z", "updated": "2015-10-21T22:56:46.000Z", "title": "Physical Consequences of the Jacobi Identity", "authors": [ "Eric C. D'Avignon" ], "categories": [ "math-ph", "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.", "revisions": [ { "version": "v1", "updated": "2015-10-21T22:56:46.000Z" } ], "analyses": { "keywords": [ "jacobi identity", "hamiltonian particle dynamics", "assuming special relativity", "noncanonical poisson bracket", "nontrivial physical consequences" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151006455D" } } }