A Mesoscopic Quantum Gravity Effect

Abstract

We explore the symmetry reduced form of a non-perturbative solution to the constraints of quantum gravity corresponding to quantum de Sitter space. The system has a remarkably precise analogy with the non-relativistic formulation of a particle falling in a constant gravitational field that we exploit in our anaylsis. We find that the solution reduces to de Sitter space in the semi-classical limit, but the uniquely quantum features of the solution have peculiar property. Namely, the unambiguous quantum structures are neither of Planck scale nor of cosmological scale. Instead, we find a periodicity in the volume of the universe whose period, using the observed value of the cosmological constant, is on the order of the volume of the proton.

10 pages, 2 figures

References in corpus (5)

• Quantum gravity with a positive cosmological constant
• A Quantum Gravitational Relaxation of The Cosmological Constant
• Generalizing the Kodama State II: Properties and Physical Interpretation
• Generalizing the Kodama State I: Construction
• In Search of Quantum de Sitter Space: Generalizing the Kodama State

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• A generalized Hartle-Hawking wavefunction
• Exotic Rotational Correlations in Quantum Geometry
• Quantum analysis of the recent cosmological bounce in the comoving Hubble length
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• A scale at 10 MeV, gravitational topological vacuum, and large extra dimensions