Chapter 5

Quantum Gravity Evaluation of Stimulated Graviton Emission in Superconductors

Giovanni Modanese

Abstract

It can be proven, using the Feynman path integral, that the vacuum state of Quantum Gravity contains localized fluctuations with large mass. Their interaction gives rise to a complex pattern of excited states. In particular, couples of equal virtual masses can be in a symmetrical superposition Ψ (ground state) or in an anti-symmetrical superposition Ψ<sup>-</sup>. Transitions Ψ<sup>+</sup> can be efficiently “pumped” only by a time-variable vacuum-energy-like term Λ(t) associated with coherent matter. The decay Ψ<sup>-</sup> → Ψ<sup>+</sup> generates off-shell virtual spin 1 gravitons, which can also produce a cascade of stimulated emission, ending with absorption in a target. We compute to leading order the Einstein A and B coefficients of the transition and give magnitude order estimates for the amplification factor in YBCO crystals or melt-textured samples pumped by bulk supercurrents at frequency ≈10 MHz.

Total Pages: 105-131 (27)

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