Is it possible to create a universe in the laboratory by quantum tunneling?

Details Is it possible to create a universe in the laboratory by quantum tunneling? Is it possible to create a universe in the laboratory by quantum tunneling?

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990nuphb.339..417f&link_type=abstract

Nuclear Physics, Section B (ISSN 0550-3213), vol. B339, p. 417-490.

Mathematics

146

Bubbles, Cosmology, Manifolds (Mathematics), Quantum Theory, Trajectory Analysis, Vacuum, Hamiltonian Functions, Scalars, Schwarzschild Metric, Singularity (Mathematics)

Scientific paper

We explore the possibility that a new universe can be created by producing a small bubble of false vacuum. The initial bubble is small enough to be produced without an initial singularity, but classically it could not become a universe - instead it would reach a maximum radius and then collapse. We investigate the possibility that quantum effects allow the bubble to tunnel into a larger bubble, of the same mass, which would then classically evolve to become a new universe. The calculation of the tunneling amplitude is attempted, in lowest order semiclassical approximation (in the thin-wall limit), using both a canonical and a functional integral approach. The canonical approach is found to have flaws, attributable to our method of space-time slicing. The functional integral approach leads to a Euclidean interpolating solution that is not a manifold. To describe it, we define an object which we call a 'pseudomanifold', and give a prescription to define its action. We conjecture that the tunneling probability to produce a new universe can be approximated using this action, and we show that this leads to a plausible result.

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