Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-01-24
Phys.Lett. B427 (1998) 254-260
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, LaTex, the version to appear in Physics Letters B
Scientific paper
10.1016/S0370-2693(98)00349-9
In order to gain insight into the possible Ground State of Quantized Einstein's Gravity, we have devised 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, whose size is the Planck length $a_p$ ($a_p\simeq 10^{-33}$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 $a_p$, the Planck lattice.
Cacciatori Sergio
Preparata Giuliano
Rovelli S.
Spagnolatti I.
Xue She-Sheng
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