Quantum tunneling and the change in the signature of the spacetime metric

Details Quantum tunneling and the change in the signature of the spacetime metric Quantum tunneling and the change in the signature of the spacetime metric

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992qtcs.rept.....a&link_type=abstract

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Physics

Astronomical Models, Cosmology, Euclidean Geometry, Metric Space, Quantum Mechanics, Riemann Manifold, Signatures, Space-Time Functions, Tunneling, Einstein Equations, Field Theory (Physics), Relativity

Scientific paper

Three examples where the quantum tunneling process may be viewed as a motion in the Euclidean time are presented. That is, the tunneling object (particle/field/universe) may be viewed to move in a spacetime with Euclidean signature (++++) metric (Riemannian metric) in the classically forbidden region. However, we emphasize the fact that in all three of the examples the quantity that has direct physical meaning is the tunneling probability through the classically forbidden region, i.e., through the potential barrier.

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