Polarized Spacetime Foam

Details Polarized Spacetime Foam Polarized Spacetime Foam

2001-09-14

arxiv.org/abs/gr-qc/0109050v2

Found.Phys. 32 (2002) 1069-1090

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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Scientific paper

An approximate model of a spacetime foam is presented. It is supposed that in the spacetime foam each quantum handle is like to an electric dipole and therefore the spacetime foam is similar to a dielectric. If we neglect of linear sizes of the quantum handle then it can be described with an operator containing a Grassman number and either a scalar or a spinor field. For both fields the Lagrangian is presented. For the scalar field it is the dilaton gravity + electrodynamics and the dilaton field is a dielectric permeability. The spherically symmetric solution in this case give us the screening of a bare electric charge surrounded by a polarized spacetime foam and the energy of the electric field becomes finite one. In the case of the spinor field the spherically symmetric solution give us a ball of the polarized spacetime foam filled with the confined electric field. It is shown that the full energy of the electric field in the ball can be very big.

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