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Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe. (English) Zbl 1266.85011

Summary: The effects of generalized uncertainty principle (GUP) on the inflationary dynamics and the thermodynamics of the early universe are studied. Using the GUP approach, the tensorial and scalar density fluctuations in the inflation era are evaluated and compared with the standard case. We find a good agreement with the Wilkinson Microwave Anisotropy Probe data. Assuming that a quantum gas of scalar particles is confined within a thin layer near the apparent horizon of the Friedmann-Lemaitre-Robertson-Walker universe which satisfies the boundary condition, the number and entropy densities and the free energy arising form the quantum states are calculated using the GUP approach. A qualitative estimation for effects of the quantum gravity on all these thermodynamic quantities is introduced.

MSC:

85A40 Astrophysical cosmology
83F05 Relativistic cosmology
83C45 Quantization of the gravitational field
80A10 Classical and relativistic thermodynamics
81P15 Quantum measurement theory, state operations, state preparations

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