We construct a model of the Cyclic Universe from a joint theory of General relativity , Thermodynamics and the Quantum information theory .
Friedmann equations and the thermodynamical Gibbs-Duhem relation determine a general form of the Hubble function which predicts a dynamical Dark Energy ( DE ) and a dynamical Dark Matter ( DM ) described by new entropic terms and by the equations of state w _ { 0 } = -1 and w _ { M } = 0 , respectively , at all z .
The entropic terms give rise to the acceleration and deceleration stages of the expansion of the Cyclic Universe .

We posit the spacetime has a quantum structure described by the Quantum information theory .
We identify the space quanta \rho with two-qubit quantum states of massless gravitons with helicity states | \pm 2 > .
All space quanta carry quantum information entropy S ( \rho ) .
All entangled quanta carry entanglement entropy S _ { E } ( \rho ) and form DE .
All non-entangled quanta form DM .
The average quantum state of DE is a special state \rho _ { \lambda } ( t ) .
It is described by the scale factor a ( t ) and carries entropy \Sigma _ { \lambda } ( t ) .
In the absence of Baryonic matter DM and DE are described by probability distributions of their entropies p ( \vec { x } ,t,S ) and q ( \vec { x } ,t, \chi ) where \chi ( \rho ) = S _ { E } ( \rho ) + S ( \rho ) .
Fisher information metric generates from these distributions the vacuum gravitational fields h ^ { MV } _ { \mu \nu } and h ^ { EV } _ { \mu \nu } of DM and DE .
In the presence of the Baryonic matter the distributions are displaced p \to p ^ { \prime } and q \to q ^ { \prime } .
Fisher metric then defines the displaced fields h ^ { MB } _ { \mu \nu } and h ^ { EB } _ { \mu \nu } .
In Einstein ’ s theory of General relativity Space is the gravitational field which we identify with Dark Energy and Dark Matter fields .
The theory predicts the existence of a new ” residual ” matter term with equation of state w _ { r } = - \frac { 1 } { 3 } in the Hubble function and the negative spatial curvature k = -1 the consequence of which are constraints on cosmological parameters .
The theory also relates the new entropic terms of DE and DM in the Hubble function to the entropy \Sigma _ { \lambda } ( t ) .
We derive equations of state of Dark Energy and Dark Matter and the ” residual ” matter term from the kinetics of the space quanta modeled as non-classical particles with momentum and energy defined in terms of their entropies .
We recover Robertson-Walker metric and the Friedmann equations from the gravitational fields of Dark Energy and Dark Matter .
The predictions of the theory are tested and confirmed by cosmological data in Part II of this work .