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Measurability of vacuum fluctuations and dark energy

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  • Beck, Christian
  • Mackey, Michael C.

Abstract

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 ρvac in the universe is related to the largest possible critical temperature Tc of superconductors through ρvac=σ·(kTc)4/ℏ3c3, where σ is a small constant of the order 10-3. 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 1.7THz if the hypothesis is true.

Suggested Citation

  • Beck, Christian & Mackey, Michael C., 2007. "Measurability of vacuum fluctuations and dark energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 101-110.
    • Handle: RePEc:eee:phsmap:v:379:y:2007:i:1:p:101-110
    DOI: 10.1016/j.physa.2006.12.019
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    Cited by:

    1. Rahmani, Z. & Jahed Motlagh, M.R., 2009. "Adaptive control of spatiotemporal chaos in coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1697-1707.
    2. Campos, Diógenes, 2012. "On a modified quantum statistical mechanics based on the Hartley information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5439-5452.

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