Speaker
Description
A simple picture of quantum spacetime is presented for quantum physics based on the original spirit of Heisenberg and Dirac and the modern perspective of noncommutative geometry. The quantum dynamics of a particle, with or without spin, in curved spacetime is analyzed from the Heisenberg picture, based on a covariant Hamiltonian formulation. For the spin-zero particle, quantum equations of geodesic motion are obtained. The formulation is not compatible with the usual approach based on the Schr\"odinger wavefunction representation, and has theoretically desirable features over the latter. It suggests an alternative path to quantum gravitation based on the observables. For an application to a black hole metric, an interesting special quantum effect is obtained as a positive contribution to the acceleration in the radial direction inside the black hole. Our analysis shows that it is the dominant contribution as we approach the singularity, indicating that quantum particles cannot fall into the singularity. A nontrivial quantum matter distribution is hence to be expected around the center of a black hole, giving the black hole entropy.
| Topic | Quantum gravity and quantum fields in curved spacetimes |
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