### THE IMPLICATIONS OF A COSMOLOGICAL INFORMATION BOUND FOR COMPLEXITY, QUANTUM INFORMATION AND THE NATURE OF PHYSICAL LAW

### P.C.W. Davies

BEYOND: Center for Fundamental Concepts in Science, Arizona State University

P.O. Box 876505, Tempe, AZ 85287-6505

"The finite age of the universe and the existence of cosmological horizons provides a strong argument that the observable universe represents a finite causal region with finite material and informational resources. A similar conclusion follows from the holographic principle. In this paper I address the question of whether the cosmological information bound has implications for fundamental physics. Orthodox physics is based on Platonism: the laws are treated as infinitely precise, perfect, immutable mathematical relationships

that transcend the physical universe and remain totally unchanged by physical processes, however extreme. If instead the laws of physics are regarded as akin to computer software, with the physical universe as the corresponding hardware, then the finite computational capacity of the universe imposes a fundamental limit on the precision of the laws and the specifiability of physical states. That limit depends on the age of the universe. I examine how the imprecision of the laws impacts on the evolution of highly entangled states and on the problem of dark energy."

See Tamara Davis's Figs 1.1 & 5.1 2004 PhD online University New South Wales

Quite trivially:

Unruh-Hawking temperature at the horizon is 1/(area)^1/2

dark energy density is 1/(area) ~ 10^-7 ergs/cc

h = c = kB = G = 1

Any school boy can now understand why the entropy of the early universe is small by 10^123 from its future constant value, and why we age as the universe speeds up in its expansion causing our observer-dependent horizon that is also the Wheeler-Feynman total absorber of last resort.

When a photon is absorbed it disappears - effectively f = 0, well that's what happens to photons we emit because their wavelength gets stretched by the expanding space and the stretch is infinite at the finite co-moving distance to our future horizon that bounces back the advanced return signal to make the Cramer transaction.