Non-Commutative Inflation

Details Non-Commutative Inflation Non-Commutative Inflation

2001-08-26

arxiv.org/abs/hep-th/0108190v1

Phys.Rev. D67 (2003) 081301

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures

Scientific paper

10.1103/PhysRevD.67.081301

We show how a radiation dominated universe subject to space-time quantization may give rise to inflation as the radiation temperature exceeds the Planck temperature. We consider dispersion relations with a maximal momentum (i.e. a mimimum Compton wavelength, or quantum of space), noting that some of these lead to a trans-Planckian branch where energy increases with decreasing momenta. This feature translates into negative radiation pressure and, in well-defined circumstances, into an inflationary equation of state. We thus realize the inflationary scenario without the aid of an inflaton field. As the radiation cools down below the Planck temperature, inflation gracefully exits into a standard Big Bang universe, dispensing with a period of reheating. Thermal fluctuations in the radiation bath will in this case generate curvature fluctuations on cosmological scales whose amplitude and spectrum can be tuned to agree with observations.

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