Is there a relativistic nonlinear generalization of quantum mechanics?

Physics – Quantum Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

10 pages; talk at DICE 2006 (Piombino, September 11-15, 2006); to appear in Journal of Physics: Conference Series (2007)

Scientific paper

10.1088/1742-6596/67/1/012016

Yes, there is. - A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory. While, for simplicity, we study the example of an U(1) symmetry, this kind of gauge theory can accommodate other symmetries as well. We consider the resulting relativistic nonlinear extension of quantum mechanics and show that it incorporates gravity in the (0+1)-dimensional limit, where it leads to the Schroedinger-Newton equations. Gravity is encoded here into a universal nonlinear extension of quantum theory. The probabilistic interpretation, i.e. Born's rule, holds provided the underlying model has only dimensionless parameters.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Is there a relativistic nonlinear generalization of quantum mechanics? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Is there a relativistic nonlinear generalization of quantum mechanics?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Is there a relativistic nonlinear generalization of quantum mechanics? will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-213323

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.