by
DrRaju Roychoudhury(Institute of Physics, University of S. Paulo, Brazil)
→
Europe/Rome
0M03 (M.S. Angelo)
0M03
M.S. Angelo
Description
An elucidation on the geometrization of electromagnetic force further leads
to a proposal for a gravity theory (which we call emergent gravity) with
non-symmetric metric. It will be shown why we believe that in
noncommutative (NC) spacetime there always exists a coordinate
transformation that locally eliminates electromagnetic force which is
nothing but an upshot of Darboux theorem (precisely an analogue of
equivalence principle) in symplectic geometry. The consequence is that
electromagnetism can be realized as a geometrical property of spacetime
like gravity. It will be discussed how emergent gravity reveals a beautiful
genralized geometrical structure which is an artifact of the famous
Seiberg-Witten equivalence between commutative and NC DBI actions and is
reminiscent of the homological mirror symmetry. Further physical
motivations will be explicated if time permits.