Trends in Quantum Gravity ResearchQuantum gravity is the field of theoretical physics attempting to unify the theory of quantum mechanics, which describes three of the fundamental forces of nature, with general relativity, the theory of the fourth fundamental force: gravity. The ultimate goal is a unified framework for all fundamental forces -- a theory of everything. This book examines state-of-art research in this field. |
Contents
| 1 | |
Quantum States of Neutrons in the Earths Gravitational Field State of the Art Applications and Perspectives | 65 |
Quantum Mechanics Quantum Gravity and Approximate Lorentz Invariance from a Classical PhaseBoundary Universe | 109 |
Kinetic Quantum Theory of Gravity | 139 |
Common terms and phrases
Ashtekar black hole Bohmian Bojowald classical singularity constant coordinate corresponding cosmological covariant dark matter densitized triad density derivative detector dislocations dynamical electromagnetic energy energy-momentum tensor equations of motion experiment experimental expression extrinsic curvature field theory fluctuations fractal full theory gauge given gr-qc gravitational field gravitational mass Hamiltonian constraint hep-th HJ equation holonomies homogeneous horizon inertial mass interaction invariant isolated horizon lattice Lett loop quantum gravity Lorentz measurement metric mirror momentum Mumetal Nesvizhevsky neutron observed obtain operator parameter particle Phys physical problem quant-ph quantization quantum effects quantum geometry Quantum Grav quantum gravity quantum mechanics quantum potential quantum theory radiation relativistic relativity scalar Schrödinger equation semiclassical gravity Shojai solution space spacetime spatial spherically symmetric spin connection spontaneous symmetry breaking superparticles surface term transitions universe velocity wave function Wrel μν
Popular passages
Page 4 - Here these velocities are defined as the average at a point q and time t of the respective velocities of the outgoing and incoming fractal trajectories; in stochastic QM this corresponds to an average on the quantum state. The position vector x(t) is thus "assimilated...
Page 4 - It is in the description of £ that the D — 2 fractal character of trajectories is inserted; indeed that £ is a Wiener process means that the d£'s are assumed to be Gaussian with mean 0, mutually independent, and such that >= Wdijdt- < dt-i(t)d£-j(t) >= -ZDkjdt (1.12) where < > denotes averaging (V is now the diffusion coefficient).