"We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct" - Niels Bohr, Danish Physicist (1885-1962)
A Mathematical Universe
Mathematical realism holds that mathematical entities exist independently of the human mind. Thus humans do not invent mathematics, but rather discover it, and any other intelligent beings in the universe would presumably do the same. Platonism is a theory that numbers or other abstract objects are objective, timeless entities, independent of the physical world and of the symbols used to represent them. The Matrix is a 1999 science fiction film in which reality as perceived by most humans is actually a computer simulated reality called "the Matrix" and is based around the mathematical universe of Pythagoras quote; number is the ruler of forms and ideas.
Max Tegmark's Mathematical Universe Hypothesis states: Our external physical reality is a mathematical structure. That is, the physical universe is mathematics in a well-defined sense, and "in those [worlds] complex enough to contain self-aware substructures SAS [they] will subjectively perceive themselves as existing in a physically 'real' world".
As Tegmark noted, the principal problem with a programmable universe that is essentially a series of mathematical routines (the computer simulation approach) is for the programmer to create a physical space (the appearance of a physical reality) within the confines of a mathematical 'software' framework. Discussed here is a novel approach to this problem by first initializing a virtual environment that expands radially in integral steps. This gives this universe a clock-rate and is also used to introduce virtual motion. This approach does not use a traditional 4-D space-time co-ordinate system; there is as yet no 'physical' structure. The analog would be a dimensionless black hole.
I then construct a formula for a black-hole electron as a geometrical shape that embeds the 'physical' parameters of the electron (wavelength, frequency, charge, spin). This electron is a mathematical constant with a numerical value about 0.12692 x 10^23. This means that for 0.12692 x 10^23 units of time (defined by the clock-rate) the electron is 'pulled' along with the universe as the universe expands creating a yo-yo effect. Our electron is now spinning and the electron dimensioned parameters unfold for the duration of 1 spin and then collapse back into dimensionless unity (as the electron formula is dimensionless, these dimensional parameters sum to one). The cycle continues. Particles are joined together to form complex structures (atoms, molecules ... galaxies) by physical links of momentum and not abstract forces. This provides the scaffolding for our 3-D space.
What we interpret as a physical universe is the information content of the virtual universe. We measure relative motion and relative position, the virtual universe uses absolute motion and absolute time.
The following is an essay, it gives a background to the theory.