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My answer to the question in the title is "No". In support of this point ofview, we analyze some examples of saddle-point methods, especially as appliedto quantum "tunneling" in nonrelativistic particle mechanics and in cosmology.Along the way we explore some of the interrelationships among different ways ofthinking about path-integrals and saddle-point approximations to them.

Is the spacetime metric Euclidean rather than Lorentzian?