Emergent laws of spacetime mechanics

In this thesis, the hypothesis that classical description of gravitational phenomena emerges from the collective, information theoretic behaviour of underlying microscopic degrees of freedom is investigated. An essential ingredient in the emergent description is the quantum entanglement of the underlying degrees of freedom. Fundamental, information theoretic and emergent relation between entropy and energy which had been well established for black holes, known as the first law of black hole mechanics is extended to general spacelike surfaces as the first law of spacetime deformations through its structural resemblance to the first law of elastic deformations. In this generalization, we propose that notion of thermodynamical entropy should be replaced by the entropic measure of the phase space volume. By employing this first law, inertia is interpreted as an adiabatic reaction force. In addition, another well known information theoretic relation, Bekenstein bound, is extended to spacetime and identified in the underlying theory through AdS/CFT correspondence.