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 analysis. 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.
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References
Alexander, S.: A quantum gravitational relaxation of the cosmological constant. Phys. Lett. B 629, 53–59 (2005). arXiv:hep-th/0503146
Scherer, S.: Bouncing neutrons in the gravitational field. Entry posted to backreaction.blogspot.com. Retrieved March 29, 2008, from http://backreaction.blogspot.com/2007/06/bouncing-neutrons-in-gravitational.html, June 1 (2007)
Smolin, L.: Quantum gravity with a positive cosmological constant. arXiv:hep-th/0209079
Randono, A.: Generalizing the Kodama state. I. Construction. arXiv:gr-qc/0611073
Randono, A.: Generalizing the Kodama state. II. Properties and physical interpretation. arXiv:gr-qc/0611074
Randono, A.: In search of quantum de Sitter space: generalizing the Kodama state. PhD thesis, University of Texas at Austin, 2007. arXiv:0709.2905
Noui, K., Perez, A., Vandersloot, K.: Cosmological plebanski theory. arXiv:0712.4143
Hawking, S.: The Big Bang and Black Holes. Advanced Series in Astrophysics and Cosmology, vol. 8. World Scientific, Singapore (1993)
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Randono, A. A mesoscopic quantum gravity effect. Gen Relativ Gravit 42, 1909–1917 (2010). https://doi.org/10.1007/s10714-010-0982-8
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DOI: https://doi.org/10.1007/s10714-010-0982-8