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26 April 2024
 
  » arxiv » gr-qc/9806044

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Gas of wormholes: a possible ground state of Quantum Gravity
G. Preparata ; R. Rovelli ; S.-S. Xue ;
Date 9 Jun 1998
Journal Gen.Rel.Grav. 32 (2000) 1859-1931
Subject gr-qc hep-lat hep-ph hep-th
AbstractIn order to gain insight into the possible Ground State of Quantized Einstein’s Gravity, we have derived a variational calculation of the energy of the quantum gravitational field in an open space, as measured by an asymptotic observer living in an asymptotically flat space-time. We find that for Quantum Gravity (QG) it is energetically favourable to perform its quantum fluctuations not upon flat space-time but around a ``gas’’ of wormholes of mass m_p, the Planck mass (m_p ~= 10^{19}GeV) and average distance l_p, the Planck length a_p(a_p ~= 10^{-33}cm). As a result, assuming such configuration to be a good approximation to the true Ground State of Quantum Gravity, space-time, the arena of physical reality, turns out to be well described by Wheeler’s quantum foam and adequately modeled by a space-time lattice with lattice constant l_p, the Planck lattice.
Source arXiv, gr-qc/9806044
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