ar X iv : g r - qc / 0 40 61 18 v 2 2 1 O ct 2 00 4 Significance of c / √ 2 in relativistic physics

ar X iv : g r - qc / 0 40 61 18 v 1 2 9 Ju n 20 04 Significance of c / √ 2 in relativistic physics

In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation can be simply illustrated in the case of motion in one dimension. For one-dimensional motion, such first-order accelerations are multiplied by (1 − V 2 /V 2 c), where V c =...

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 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 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 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...