Quantization of Emergent Gravity

Abstract

Emergent gravity is based on a novel form of the equivalence principle known as the Darboux theorem or the Moser lemma in symplectic geometry stating that the electromagnetic force can always be eliminated by a local coordinate transformation as far as spacetime admits a symplectic structure, in other words, a microscopic spacetime becomes noncommutative (NC). If gravity emerges from U(1) gauge theory on NC spacetime, this picture of emergent gravity suggests a completely new quantization scheme where quantum gravity is defined by quantizing spacetime itself, leading to a dynamical NC spacetime. Therefore the quantization of emergent gravity is radically different from the conventional approach trying to quantize a phase space of metric fields. This approach for quantum gravity allows a background independent formulation where spacetime as well as matter fields is equally emergent from a universal vacuum of quantum gravity.

113 pages (We touch only a tip of the iceberg!); to be published in Int. J. Mod. Phys. A

References in corpus (8)

• A Gravity Theory on Noncommutative Spaces
• Symmetry, Gravity and Noncommutativity
• Emergent Gravity from Noncommutative Spacetime
• Emergent Spacetime and The Origin of Gravity
• Highly Effective Actions
• Noncommutative Electromagnetism As A Large N Gauge Theory
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Cited by in corpus (13)

• Mirror Symmetry in Emergent Gravity
• Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
• Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle
• Dark Energy and Dark Matter in Emergent Gravity
• A note on graviton exchange in emergent gravity scenario
• Emergent Spacetime for Quantum Gravity
• Quantized Kähler Geometry and Quantum Gravity
• Contravariant geometry and emergent gravity from noncommutative gauge theories
• Emergent Spacetime and Cosmic Inflation
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Towards a T-dual Emergent Gravity
• Schwarzschild Instanton in Emergent Gravity
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory