A Minimal Model for Quantum Gravity

Details A Minimal Model for Quantum Gravity A Minimal Model for Quantum Gravity

2004-09-18

arxiv.org/abs/gr-qc/0409069v2

Mod.Phys.Lett. A20 (2005) 645-653

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 4 figures, Contributed paper at DICE 2004, 1-4 September 2004, Piombino, Italy minor changes, misprints corrected

Scientific paper

10.1142/S021773230501683X

We argue that the model of a quantum computer with N qubits on a quantum space background, which is a fuzzy sphere with n=2^N elementary cells, can be viewed as the minimal model for Quantum Gravity. In fact, it is discrete, has no free parameters, is Lorentz invariant, naturally realizes the Holographic Principle, and defines a subset of punctures of spin networks' edges of Loop Quantum Gravity labelled by spins j=2^(N-1)-1/2. In this model, the discrete area spectrum of the cells, which is not equally spaced, is given in units of the minimal area of Loop Quantum Gravity (for j=1/2), and provides a discrete emission spectrum for quantum black holes. When the black hole emits one string of N bits encoded in one of the n cells, its horizon area decreases of an amount equal to the area of one cell.

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