Abstract
The idea of a homogeneous, isotropic and spatially flat universe brings with it some unresolved issues, such as the nature of dark matter and the “coincidence problem”, i.e. the same order of magnitude between matter and vacuum density at the present time. In order to better understand these problems, it has been recently presented a physical interpretation based on quantum corrections within the second order Friedmann equation, which assumes a quantum condensate composed of gravitons filling the universe. In this article we show that the above supposition is consistent with the picture of a holographic universe created from vacuum fluctuations. From five postulates based on principles of modern quantum cosmology, we propose a very simple conjecture that, while shedding light on the properties of dark matter and dark energy, is able to predict values for the cosmological parameters which are in great agreement with the most accurate data gathered in recent astronomical observations.
Highlights
IntroductionCan be derived from the quantum corrected Raychaudhuri equation [1]. The latter, in turn, arises from the replacement of classical geodesics with Bohmian trajectories
It has been shown that the second order Friedmann equation (SOFE)can be derived from the quantum corrected Raychaudhuri equation [1]
In order to better understand these problems, it has been recently presented a physical interpretation based on quantum corrections within the second order Friedmann equation, which assumes a quantum condensate composed of gravitons filling the universe
Summary
Can be derived from the quantum corrected Raychaudhuri equation [1]. The latter, in turn, arises from the replacement of classical geodesics with Bohmian trajectories. The approach posed at the beginning by means of the universal Compton wavelength agrees with the above definition, except for the factor 2 in the denominator This can be explained by considering that a pair of particles is created, rather than one (remember that the graviton is its own antiparticle). That is the temperature of Hawking radiation for a black hole whose mass is equal to M , in our case the mass of the universe Just as it is done by Ali and Das, we will assume for gravity a Yukawa-type of force law, F = − Gmr2M e− Rr0 = − Gmr2M e− 2 mc r [1]. On entropic gravity resulting from a Yukawa type of correction to the gravitational force, there are some articles that can be studied, arriving at correction factors equivalent to the one we put forward in (6) [12] [13]
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