Quantum Structure of Spacetime and Its Entropy in a Cyclic Universe with Negative Curvature II: Data Analysis and Results

Abstract

In the Part I of this work we show that Friedmann equations and the thermodynamical Gibbs-Duhem relation determine a general form of the Hubble function called Model E which predicts a dynamical Dark Energy and Dark Matter with equations of state w_0=-1 and w_M=0, respectively. We identify Dark Energy and Dark Matter with Space. General theory of relativity asserts that Space is gravitational fields. We propose the Space has a specific quantum structure: entangled Space quanta form Dark Energy, non-entangled ones form Dark Matter. We identify Dark Matter and Dark Energy as the gravitational fields generated by Fisher information metric from the probability distributions p and q of the entropies carried by their quanta, respectively. This model of the quantum structure of the spacetime determines a specific form of the dynamical terms of Dark Energy and Dark Matter and predicts the existence of a new "residual" matter term with equation of state w_r=-1/3. This term plays a role of a curvature term in the Hubble function with negative curvature k=-1. Its consistency with the curvature term in the Robertson-Walker metric then predicts a positive present curvature density Ω_{c,0} which places constraints on the cosmological parameters. In this work we test these predictions in fits to the Hubble data and angular diameter distance data. The fits confirm all predictions and support our model of the quantum structure of the spacetime.

29 pages, 8 Figures, 12 Tables; Table caption of the Table IV and the equation (9.1) corrected; change in the address