Measurability of vacuum fluctuations and dark energy

Beck, Christian; Mackey, Michael C.
Bibliographical reference

Physica A, Volume 379, Issue 1, p. 101-110.

Advertised on:
6
2007
Number of authors
2
IAC number of authors
0
Citations
28
Refereed citations
22
Description
Vacuum fluctuations of the electromagnetic field induce current fluctuations in resistively shunted Josephson junctions that are measurable in terms of a physically relevant power spectrum. In this paper we investigate under which conditions vacuum fluctuations can be gravitationally active, thus contributing to the dark energy density of the universe. Our central hypothesis is that vacuum fluctuations are gravitationally active if and only if they are measurable in terms of a physical power spectrum in a suitable macroscopic or mesoscopic detector. This hypothesis is consistent with the observed dark energy density in the universe and offers a resolution of the cosmological constant problem. Using this hypothesis we show that the observable vacuum energy density ρ in the universe is related to the largest possible critical temperature T of superconductors through ρ=σ·(kT)/ℏc, where σ is a small constant of the order 10. This relation can be regarded as an analog of the Stefan Boltzmann law for dark energy. Our hypothesis is testable in Josephson junctions where we predict there should be a cutoff in the measured spectrum at 1.7 THz if the hypothesis is true.
Type