dorsal/arxiv
View SchemaA Hamiltonian approach to quantum gravity
| Authors | Eugene V. Stefanovich |
|---|---|
| Categories | |
| ArXiv ID | physics/0612019 |
| URL | https://arxiv.org/abs/physics/0612019 |
Abstract
We explore the idea that gravitational interaction can be described by instantaneous inter-particle 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 non-perturbative 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 Einstein-Infeld-Hoffmann 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.
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"abstract": "We explore the idea that gravitational interaction can be described by\ninstantaneous inter-particle potentials. This idea is in full accord with\nrelativistic quantum theory. In particular, it resembles the ``dressed\nparticle\u0027\u0027 approach to quantum electrodynamics. Although the complete\nnon-perturbative of this theory is yet unknown, one can reasonably guess its\nform in low perturbation orders and in the (1/c)^2 approximation. We suggest a\nrelativistic energy operator, which in the classical limit reduces to the\nEinstein-Infeld-Hoffmann Hamiltonian for massive particles and correctly\ndescribes the effects of gravity on photons, including the light bending, the\nShapiro delay, the gravitational time dilation and the red shift. The causality\nof this approach is briefly discussed.",
"arxiv_id": "physics/0612019",
"authors": [
"Eugene V. Stefanovich"
],
"categories": [
"physics.gen-ph"
],
"title": "A Hamiltonian approach to quantum gravity",
"url": "https://arxiv.org/abs/physics/0612019"
},
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