The cosmological natural selection (CNS) hypothesis holds that the fundamental constants of nature have been fine-tuned by an evolutionary process in which universes produce daughter universes via the formation of black holes. Here, we formulate the CNS hypothesis using standard mathematical tools of evolutionary biology. Specifically, we capture the dynamics of CNS using Price's equation, and we capture the adaptive purpose of the universe using an optimization program. We establish mathematical correspondences between the dynamics and optimization formalisms, confirming that CNS acts according to a formal design objective, with successive generations of universes appearing designed to produce black holes. V C 2013 Wiley Periodicals, Inc. Complexity 18: [48][49][50][51][52][53][54][55][56] 2013 Key Words: black hole; evolution; formal Darwinism; multiverse; Price's equation
INTRODUCTION
B etween distances of 10221 and 10 26 m, physical reality is accurately described by the Standard Model of particle physics and the KCDM cosmological model [1,2]. Together, these contain 30 input parameters [3], which are known to be constant across cosmological distances to within approximately one part in 100,000, with no strong evidence that they vary at all in time or space (e.g., see [4]). These include inter alia the strengths of the three fundamental forces, a SU(3) , a SU(2) , and a U(1) and the Yukawa couplings (masses) of the elementary particles, such as y e , y m , and y s . The precise numerical values of these constants determine much of the physics of our universe and pose a double conundrum for physicists and philosophers. First, the values have a high degree of arbitrariness: they are dimensionless parameters that range over eight orders of magnitude, for no known reason. Second, it is generally acknowledged that even rather small modifications to some of these values would lead to universes that are vastly less complex than our own (Ref. [3]; but see Ref.[5] for a contrary view).For example, the cosmological constant K-that is, the background energy density of the universe-is empirically shown to be approximately equal to the mass-energy density of one hydrogen atom per cubic meter [6,7]. However, quantum field theory implies the existence of calculable contributions to K that are 60 orders of magnitude larger than this observed value (for a detailed review, see Ref. [8]). Although such predicted values are theoretically natural, the corresponding universe would expand so quickly that there would appear to be no possibility of matter accumulating to form stars, galaxies, and life. In fact, galaxy formationwhich is probably necessary for the existence of lifeappears to require that K be within a few orders of magnitude of its observed value [9]. A second example is the neutron-proton mass difference. The neutron (mass 1.675 3 10 227 kg) is heavier than the proton (mass 1.673 3 10 227 kg) by 0.1%. A free neutron decays to a proton with a half-life of 886 s. If the mass difference were reversed, the proton woul...