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A phase transition model for metric fluctuations in vacuum

M. Mehrafarin
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Abstract

Regarding metric fluctuations as generating {\it roughness} on the fabric of the otherwise smooth vacuum, it is shown that in its simplest form, the effect can be described by the scalar $ϕ^4$ model. The model exhibits a second order phase transition between a smooth (low-temperature) phase and a rough (high-temperature) one, corroborating the absence of metric fluctuations at low energies. In the rough phase near the critical point, vacuum is characterized by a power-law behavior for the fluctuating field with critical exponent $β\approx 0.33$.

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M. Mehrafarin. 2002-05-30. A phase transition model for metric fluctuations in vacuum. https://arxiv.org/abs/gr-qc/0205133

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