Abstract
Within the geometrodynamic approach to quantum cosmology, we studied the quantum gravity effects in cosmology. The Gibbons-Hawking temperature is corrected by quantum gravity due to spacetime fluctuations and the power spectrum as well as any probe field will experience the effective temperature, a quantum gravity effect.
Highlights
Recent remarkable observations have made cosmology a science of precision
The quantum cosmology for an inflationary model with inhomogeneous fluctuations predicted the power spectrum with quantum corrections, which is suppressed at large scales and provides a weaker upper bound on the Hubble constant H than the tensor-to-scalar ratio [7]
We have studied the quantum effect of spherical fluctuations of spacetime to the GibbonsHawking temperature
Summary
The more precise and accurate cosmological observations are, the more likely the possibility of quantum gravity effects are to be measured. The Born-Oppenheimer interpretation of the WDW equation with respect to the Planck scale for gravity part and the energy scale for the inflaton separates the gravity part from the inflaton part and a further application of de Broglie-Bohm pilotwave theory results in the classical equation together with quantum corrections of gravitational and field fluctuations [5, 6] (for references, see [2]). From the wave function we can calculate the quantum potential, which gives rise to the quantum corrections to the semiclassical gravity. A passing remark is that Eq (5) and thereby the quantum potential correspond to the flux (probability) conservation in the de Broglie-Bohm pilot theory of quantum mechanics [12]. The quantum potential is a consequence of spherical fluctuations of the FRW geometry
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