Quantum Gravity, Dynamical Phase Space and String Theory

Abstract

In a natural extension of the relativity principle we argue that a quantum theory of gravity involves two fundamental scales associated with both dynamical space-time as well as dynamical momentum space. This view of quantum gravity is explicitly realized in a new formulation of string theory which involves dynamical phase space and in which space-time is a derived concept. This formulation naturally unifies symplectic geometry of Hamiltonian dynamics, complex geometry of quantum theory and real geometry of general relativity. The space-time and momentum space dynamics, and thus dynamical phase space, is governed by a new version of the Renormalization Group.

9 pages. Essay written for the Gravity Research Foundation 2014 Awards for Essays on Gravitation - honorable mention

References in corpus (7)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Quantum Gravity, Dynamical Phase Space and String Theory
• Time and M-theory
• Gamma ray burst delay times probe the geometry of momentum space
• Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry
• Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy

Cited by in corpus (7)

• Quantum Gravity, Dynamical Phase Space and String Theory
• On the Non-commutativity of Closed String Zero Modes
• Generalised Kinematics for Double Field Theory
• Intrinsic non-commutativity of closed string theory
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• Metastring Theory and Modular Space-time
• Phase space quantization, noncommutativity and the gravitational field