**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 (- Max Tegmark's MUH).**

Summary: Proposes a simulated 4-axis expanding hyper-sphere virtual universe environment

# The Virtual Universe:

Perhaps one of the big philosophical questions regarding the universe is what lies outside it. Is our universe within a greater universe? and if so what lies outside that universe and so on … ad infinitum. In this model I look at our universe as a virtual universe, being both a mathematical universe in the Max Tegmark Mathematical Universe Hypothesis sense and as resembling a computer simulation, where we become as characters within a computer game asking what lies outside our computer generated environment.

This dimensionless 4-axis virtual universe is expanding in incremental steps; this gives us a clock-rate for our universe (see time and the black hole universe) and the origin of the dimensioned units. Our physical universe of mass, space and time (dimensioned units) is generated within this virtual reality, the means by which this is achieved is described in the section on the black hole electron. The physical universe then becomes a projection onto the virtual universe. Lorentz formulas translate between these 2 co-ordinate systems.

The following article is taken from the book Plato's Cave (see also the chapter F = ma for a discussion of Mach's Principle and Newton's absolute space as they relate to this topology).

# Relativity and the black hole electron:

In the diagram below is depicted a black hole electron. the left electron is at rest (v=0), the electron at right (v=0.866c). The radius of the electron is the electron function f_{e} (see black-hole electron). The torus around the electron is the wavelength, where our measure of wavelength in 1-D meters is the volume of that torus, for in this model geometrical forms rather than numbers are used.

The electron also has a north-south axis which points in the direction of universe expansion. The black sphere depicts the potential electron orientations, the N-S axis determines the direction along which the electron is pulled by the expanding virtual universe. Thus all motion can be a function of the expansion of the virtual universe, there is no need for an independent motion.