1. Planck unit scaffolding correlates with the Cosmic Microwave Background, A Simulation Hypothesis model; 

Abstract

In this article we compare the parameters for a hypothetical Planck unit universe (sans particles) with the Cosmic Microwave Background. The model postulates a Planck unit scaffolding upon which the particle universe resides and supposes that within the CMB parameters can be found evidence of this non-baryonic background. The model uses only Planck mass and Planck length as the primary structures and a spiral geometry as the `rule set'. We begin with the peak frequency of the CMB to establish an age of the universe in Planck time units and use this as our sole variable, nevertheless from this we can derive estimates for the radiation energy density, the CMB temperature and a cold dark matter mass density that are shown to be consistent with current observational values. Intriguingly this suggests that dark matter may be predominantly non-baryonic. The Casimir force equation reduces to the equation for radiation density implying that the universe has finite boundaries, albeit these are expanding at a constant rate. This article is part of a Planck scale Simulation Hypothesis project that attempts to demonstrate that the universe could in sum total be dimensionless, relying on geometrical artifice to create actual physical structures.

Keywords: Simulation Hypothesis, mathematical universe, Planck scale, Planck units, Cosmic Microwave Background, CMB, Cosmological Constant, Black-Hole Universe, White-Hole Universe, Planck Time, Arrow of Time, Dark Energy, Hubble Constant, Expanding Universe, Casimir,