Quantum entanglement, two-sided spacetimes and the thermodynamic arrow of time

Abstract

We investigate the emergence of thermodynamic arrow of time in the context of AdS/CFT correspondence. We show that, on the CFT side, if the two copies of the field theory are not initially correlated the entropy can only increase such that a definite orientation of the thermodynamic arrow of time is imposed. Conversely, in a high-correlation environment, the entropy can either increase or decrease, such that there is no opportunity for the dominance of one direction of time over the other. On the gravity side, we construct the structure of geometric dual by considering the notion of spacetime sidedness and time-orientability. Accordingly, we conjecture that the entanglement of the CFTs in the thermofield double state, impose the connection of the two sides of the spacetime forming a one sided spacetime. In addition, disentangling the degrees of freedom of the two CFTs, results in disconnecting the two sides of the spacetime. In essence, the maximal entanglement between the two copies of CFT builds, in the geometric dual, a connection between the two sides of spacetime.

Quantum entanglement and the non-orientability of spacetime

“…We explore further the arguments of initial conditions of the emergence of thermodynamic arrow of time in the framework of AdS/CFT duality [12]. We argue, that the orientation of the thermodynamic arrow on the dual asymptotically AdS spacetime is determined by the degree of entanglement between the two copies of CFTs.…”

AdS/CFT correspondence: the fountain of quantum youth

“…This statement is based on another interesting insight into the phenomenology of quantum entanglement that comes from emergence of the thermodynamic arrow of time [7], [8], [9], in the presence of initial high-correlations between the quantum systems. On this line of work, we previously argued [10], in the context of AdS/CFT correspondence, that the global spacetime dual to quantum entanglement in the field theory must be time non-orientable.…”

“…The initial high correlations of the two CFTs ensure that in the dual spacetime the arrow of time may be oriented normal, from the past to the future or in reverse, from the future to the past. In this context, since there is no preferred orientation of time on the spacetime, we may conjecture that the gravity dual is a time non-orientable spacetime, [10].…”