Quantum potential interpretation of the wave function of the universe

Frank J. Tipler

M. A. Markov

Robert M. Wald

Alexander Vilenkin

A probabilistic interpretation of the wave function of the Universe is proposed in which ``probability'' and ``unitarity'' are inherently approximate concepts. Their validity is limited by the accuracy of the semiclassical approximation for the entire Universe. This approach (which is a logical extension of DeWitt's) defines a positive-semidefinite probability distribution and satisfies the correspondence principle with classical cosmology and with quantum mechanics. In particular, one recovers the standard probabilistic interpretation of the wave function for a small subsystem of the Universe.

Quentin Smith

Abstract This chapter discusses the wave function of a Godless universe. It analyses the concept of nothingness, the interpretation of quantum cosmology, and Stephen Hawking's quasi-instrumentalist interpretation of quantum mechanics. It comments on the concept of imaginary time in Hawking's quantum cosmology and his physical interpretations of the exponential part of the wave function, and suggests that Hawking's quantum cosmology is rationally preferable to theism. It could be argued that his cosmology has greater predictive power since it predicts that it is highly probable there is a universe with properties we observe and that the universe is near the critical density.

Ali Mostafazadeh