ISSN:
1572-9575
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract An alternative inflationary model is proposed predicated upon a considerationof the form of the uncertainty principle in a curved background spacetime. Anargument is presented suggesting a possible curvature dependence in the correctcommutator relations for a quantum field in a classical background which cannotbe deduced simply by extrapolation from the flat spacetime theory. To assess thepossible consequences of this dependence, we apply the idea to a scalar field ina closed Friedmann-Robertson-Walker background, using a simple model forthe curvature dependence (along the way, a previous erroneous result obtainedby Bunch for the adiabatically expanded wave function is corrected). The resultis a time-dependent cosmological constant, producing a vast amount of inflationthat is independent of either the mass of the matter field or its effectivepotential.Furthermore, it is seen that the field modes are initially zero for allwavelengthsand come into being as the universe evolves. In this sense, the universe createsits contents out of its own expansion. At the end of the process, the matterfieldis far from equilibrium and essentially reproduces the initial conditions forthe New Inflationary Model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1003692530074