QUANTUM
   INTEGRABLE
   SYSTEMS and
   GEOMETRY
   2012









 3-7 SEPTEMBER 2012
 OLHÃO, PORTUGAL

Newton's theory of gravity

John Madore

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A noncommutative version of Newton's theory of gravity is presented. It serves as an example of the extent to which the field equations can be fixed by the condition that the algebra be associative, that the Jacobi identities associated to the commutator vanish, instead of an action principle.