# False vacuum as an unstable state: possible cosmological implications

Source: [False vacuum as an unstable state: possible cosmological implications](<https://www.sota2.com/research/paper/68fa2c6a1e209131ce84fa2c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T15:18:50.620Z

Authors: K. Urbanowski

Published: 2013-06-18T16:18:46.000Z

## Abstract

Recent LHC results concerning the mass of the Higgs boson  indicate that the vacuum in our Universe may be  unstable. We analyze properties of unstable  vacuum states from the point of view of the quantum theory  of unstable states. From the literature it is known that some of false vacuum  states may survive up to times when their survival probability has a non-exponential form. At times much latter than the transition time, when contributions to the survival probability  of its exponential and non-exponential parts are comparable,  the survival probability as a function of time $t$ has an  inverse power-like form. We show that at this time region  the instantaneous energy of the false vacuum states tends  to the energy of the true vacuum state as $1/t^{2}$ for  $t \\to \\infty$. Properties of the instantaneous energy  at transition times are also analyzed for a given model.  It is shown that at this time region large and rapid  fluctuations of the instantaneous energy take place.  This suggests analogous behavior of the cosmological  constant at these time regions.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1306.4551>)

[PDF](<https://arxiv.org/pdf/1306.4551.pdf>)