ar X iv : g r - qc / 0 61 01 16 v 1 2 4 O ct 2 00 6 Perturbative Quantum Gravity Coupled to Particles in ( 1 + 1 ) - Dimensions

ar X iv : g r - qc / 0 61 01 42 v 1 2 7 O ct 2 00 6 Is quantum mechanics based on an invariance principle ?

Non-relativistic quantum mechanics for a free particle is shown to emerge from classical mechanics through the requirement of an invariance principle under transformations that preserve the Heisenberg position-momentum inequality. These transformations acting on the position and momentum uncertainties are induced by isotropic space dilatations. This invariance imposes a change in the laws of cl...

ar X iv : g r - qc / 0 50 51 30 v 1 2 6 M ay 2 00 5 An Exact Solution for Static Scalar Fields Coupled to Gravity in ( 2 + 1 ) - Dimensions

We obtain an exact solution for the Einstein’s equations with cosmological constant coupled to a scalar, static particle in static, ”spherically” symmetric background in 2 + 1 dimensions. ————————————————————————————

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect

ar X iv : g r - qc / 9 71 01 37 v 1 3 1 O ct 1 99 7 METRIC FLUCTUATIONS IN SEMICLASSICAL GRAVITY ∗

The Einstein-Langevin equation is a perturbative correction to the semiclassical Ein-stein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic fluctuations in the metric field which may describe some of the remnant gravitational fluctuations after the process of environment induced decoherence driving the q...

ar X iv : g r - qc / 0 50 51 30 v 2 1 S ep 2 00 5 An Exact Solution for Static Scalar Fields Coupled to Gravity in ( 2 + 1 ) - Dimensions

We obtain an exact solution for the Einstein’s equations with cosmological constant coupled to a scalar, static particle in static, ”spherically” symmetric background in 2 + 1 dimensions. ————————————————————————————