TL;DR
This paper explores the quantum gravitational process of vacuum decay via Lorentzian wormholes, calculating their production rate in charged black hole spacetimes and suggesting such events are extremely rare in our universe.
Contribution
It provides a semiclassical calculation of Lorentzian wormhole nucleation rates in Reissner-Nordström spacetimes, linking them to vacuum decay and quantum tunneling.
Findings
Wormhole production rate depends on the fine structure constant in magnetic cases
Predicted nucleation probability is negligible in our universe
Offers a spacetime description involving Lorentzian wormholes in quantum gravity
Abstract
We speculate about the spacetime description due to the presence of Lorentzian wormholes (handles in spacetime joining two distant regions or other universes) in quantum gravity. The semiclassical rate of production of these Lorentzian wormholes in Reissner-Nordstr\"om spacetimes is calculated as a result of the spontaneous decay of vacuum due to a real tunneling configuration. In the magnetic case it only depends on the field theoretical fine structure constant. We predict that the quantum probability corresponding to the nucleation of such geodesically complete spacetimes should be actually negligible in our physical Universe.
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