General Relativity, Quantum Cosmology, High Energy Physics Theory, Mathematical Physics, Quantum Physics
My answer to the question in the title is "No". In support of this point of view, we analyze some examples of saddle-point methods, especially as applied to quantum "tunneling" in nonrelativistic particle mechanics and in cosmology. Along the way we explore some of the interrelationships among different ways of thinking about path-integrals and saddle-point approximations to them.
Sorkin, Rafael D., "Is the Spacetime Metric Euclidean Rather than Lorentzian?" (2009). Physics. Paper 13.
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