U. D. Machado, R. Opher. Generalized Non-commutative Inflation

Natural Sciences / Astronomy / Cosmology

Submitted on: Sep 17, 2012, 18:38:57

Description: Non-commutative geometry indicates a deformation of the energy-momentum dispersion relation $f(E)equivfrac{E}{pc}(neq 1)$ for massless particles. This distorted energy-momentum relation can affect the radiation dominated phase of the universe at sufficiently high temperature. This prompted the idea of non-commutative inflation by Alexander, Brandenberger and Magueijo (2003, 2005 and 2007). These authors studied a one-parameter family of non-relativistic dispersion relation that leads to inflation: the $alpha$ family of curves $f(E)=1+(lambda E)^{alpha}$. We show here how the conceptually different structure of symmetries of non-commutative spaces can lead, in a mathematically consistent way, to the fundamental equations of non-commutative inflation driven by radiation. *** Journal reference: Class. Quantum Grav. 29 (2012) 065003 ***

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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