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 a dynamical Dark Matter with equations of state w _ { 0 } = -1 and w _ { M } = 0 , respectively .
We identify Dark Energy and Dark Matter with the Space .
General theory of relativity asserts that the Space is gravitational fields .
We propose the Space has a specific quantum strucrure : 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 } = - \frac { 1 } { 3 } .
This term plays the 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 positive present curvature density \Omega _ { c, 0 } which in turn places constraints on the cosmological parameters .
In this work we test these predictions in fits to the Hubble data H ( z ) and angular diameter distance data d _ { A } ( z ) .
The fits confirm all predictions and allow us to identify the Model E with the analytical Model A of a Cyclic Universe developed independently in an earlier work .
These results support our model of the quantum structure of the spacetime and identify it with the anti-de Sitter spacetime of the Cyclic Universe .