  What is the role of the constants of nature in physical theory? I hypothesize
that the observable universe, u0, constitutes a Universal Turing Machine (UTM)
constrained by algorithmically random logical tape parameters defining its
material properties (a physical UTM). The finite non-zero empirical values of
Planck's constant, h, and other constants of nature exemplify those logical
parameters. Their algorithmic randomness is necessary and sufficient for the
consistent operation of a physical UTM. At any given time, ti, these constants
correspond to the first n random halt digits, Omega-n, of Chaitin's Halting
Probability, Omega. Planck's equation E=hv and Boltzmann's relation S=kLogW are
shown to apply to the operation of a physical UTM. The genomic evolution of u0
in constants of nature space (CON space) from an undecidable state in u0's
Planck era to its current ordered condition occurs through the algorithmically
random, symmetry-breaking addition of new constants to the laws by which u0
operates -- a process called logical tunneling. The temperature of u0 for t<=tp
is shown to be T=0K. The energy dissipated when a physical UTM clears its
memory after each computation is proposed as a candidate for cold dark matter
(CDM) and is calculated to comprise 87.5% of the cosmological matter content,
Omega-M, of u0. This result concurs with current astronomical estimates that
87.1% of the matter content of u0 consists of CDM. The energy incorporated in
u0 through the process of logical tunneling from undecidable states of the
complete Universe, E, to decidable states of u0 is suggested as a candidate for
the unexplained "dark energy", Omega-X, hypothesized to drive the accelerating
cosmological expansion of space and believed to constitute 66% of the critical
mass, Omega-0, of the observable universe.
