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 ?

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

We consider the problem of (1 + 1)-dimensional quantum gravity coupled to particles. Working with the canonically reduced Hamiltonian, we obtain its post-Newtonian expansion for two identical particles. We quantize the (1 + 1)-dimensional Newtonian system first, after which explicit energy corrections to second order in c−1 are obtained. We compute the perturbed wavefunctions and show that the ...

ar X iv : g r - qc / 0 11 01 18 v 1 2 7 O ct 2 00 1 Constancy of the Constants of Nature 1

The current observational and experimental limits on time variation of the constants of Nature are briefly reviewed.

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 / 0 11 00 35 v 2 1 2 O ct 2 00 1 Partial observables

We discuss the distinction between the notion of partial observable and the notion of complete observable. Mixing up the two is frequently a source of confusion. The distinction bears on several issues related to observability, such as (i) whether time is an observable in quantum mechanics, (ii) what are the observables in general relativity, (iii) whether physical observables should or should ...

ar X iv : g r - qc / 0 50 31 10 v 1 2 8 M ar 2 00 5 The leader operators of the ( d + 1 ) - dimensional relativistic rotating oscillators

The leader operators of the (d + 1)-dimensional relativistic rotating oscillators Abstract The main pairs of leader operators of the quantum models of rela-tivistic rotating oscillators in arbitrary dimensions are derived. To this end one exploits the fact that these models generate Pöschl-Teller radial problems with remarkable properties of supersymmetry and shape invariance.