Time and M-theory

Abstract

We review our recent proposal for a background independent formulation of a holographic theory of quantum gravity. The present review incorporates the necessary background material on geometry of canonical quantum theory, holography and spacetime thermodynamics, Matrix theory, as well as our specific proposal for a dynamical theory of geometric quantum mechanics, as applied to Matrix theory. At the heart of this review is a new analysis of the conceptual problem of time and the closely related and phenomenologically relevant problem of vacuum energy in quantum gravity. We also present a discussion of some observational implications of this new viewpoint on the problem of vacuum energy.

86 pages, 5 figures, LaTeX, typos fixed, references added, and Sec. 6.2 revised; invited review for Int. J. Mod. Phys. A

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• Born Reciprocity in String Theory and the Nature of Spacetime
• Quantum Gravity, Dynamical Phase Space and String Theory
• Fine Structure of Dark Energy and New Physics
• Non-relativistic AdS/CFT and Aging/Gravity Duality
• Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy
• On Background Independence
• The Higgs Mass and the Emergence of New Physics
• Entropy In The Present And Early Universe: New Small Parameters And Dark Energy Problem
• Turbulence and Holography
• Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum
• Gravitizing the Quantum
• Galois Field Quantum Mechanics
• On the Origin of Time and the Universe
• The Jarzynski Identity and the AdS/CFT Duality
• Spin and Rotations in Galois Field Quantum Mechanics
• On non-equilibrium physics and string theory
• Spacetime Emergence and General Covariance Transmutation
• Bell's Inequalities, Superquantum Correlations, and String Theory
• Metastring Theory and Modular Space-time
• Quantum Theory at Planck Scale, Limiting Values, Deformed Gravity and Dark Energy Problem
• Using Neutrinos to test the Time-Energy Uncertainty Relation in an Extreme Regime
• Modeling Time's Arrow
• Biorthogonal Quantum Mechanics: Super-Quantum Correlations and Expectation Values without Definite Probabilities
• Transient Astrophysical Pulses and Quantum Gravity
• The Big Bang as the Ultimate Traffic Jam
• Dynamics of genetic code evolution: The emergence of universality
• Quantum Systems based upon Galois Fields: from Sub-quantum to Super-quantum Correlations
• Deformed Quantum Field Theory, Thermodynamics at Low and High Energies, and Gravity. I
• On the Emergent "Quantum" Theory in Complex Adaptive Systems
• Wigner functions, Fresnel optics, and symplectic connections on phase space
• Is Quantum Gravity a Super-Quantum Theory?