Quantum Diffusion of Planck Mass and Evolution of the Universe

A theory of evolution for the Universe requires both a mutation mechanism and a selection mechanism. We propose that both can be encountered in the stochastic approach to quantum cosmology. In Brans--Dicke chaotic inflation, the quantum fluctuations of Planck mass behave as mutations, such that new inflationary domains may contain values of Planck mass that differ slightly from their parent's. The selection mechanism establishes that the value of Planck mass should be such as to increase the proper volume of the inflationary domain, which will then generate more offsprings. For generic chaotic potentials we find runaway probability distributions that move towards large values of both inflaton and dilaton fields. Therefore, this mechanism predicts that the effective Planck scale should be much larger than any given scale in the problem. 1 Talk presented at the Conference "Birth of the Universe and Fundamental Physics", Rome, May 1994. 2 E-mail: bellido@slacvm.slac.stanford.edu The ..