A Hamiltonian approach to quantum gravity
Abstract
We explore the idea that gravitational interaction can be described by instantaneous interparticle potentials. This idea is in full accord with relativistic quantum theory. In particular, it resembles the ``dressed particle'' approach to quantum electrodynamics. Although the complete nonperturbative of this theory is yet unknown, one can reasonably guess its form in low perturbation orders and in the (1/c)^2 approximation. We suggest a relativistic energy operator, which in the classical limit reduces to the EinsteinInfeldHoffmann Hamiltonian for massive particles and correctly describes the effects of gravity on photons, including the light bending, the Shapiro delay, the gravitational time dilation and the red shift. The causality of this approach is briefly discussed.
 Publication:

arXiv eprints
 Pub Date:
 December 2006
 DOI:
 10.48550/arXiv.physics/0612019
 arXiv:
 arXiv:physics/0612019
 Bibcode:
 2006physics..12019S
 Keywords:

 Physics  General Physics
 EPrint:
 9 pages, 1 figure