7

Today, nobody knows how GR is truly supposed to be married with QFT. As a result, the standard model as it is typically presented does not include gravity. Could it be modified to include Newtonian gravity instead? Although we know that GR is true, the addition of a quantized Newtonian gravity to the standard model would expand the number of scenarios that it could give correct answers for.

Qmechanic
  • 220,844
Display Name
  • 795
  • 5
  • 13

1 Answers1

4

That's an open problem. Let us here just consider the traditional approach to perturbative (but non-renormalizable) quantum gravity (QG). In relativity this approach can be based on the action for Einstein-Cartan (EC) theory by gauging the Poincare group. To carry out OP's program, we should presumably instead consider an action (if it exists!) for Newton-Cartan (NC) theory by gauging the Bargmann group (which is a central extension of the Galilean group). Needless to say that all the usual problems with relativistic QG are only bigger in non-relativistic QG. Good luck!

Qmechanic
  • 220,844