Programming a Virtual (Mathematical) Universe

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).


Outlines a model of virtual expanding hyper-sphere within which a 3-D particle space is projected. Relativistic mass, space and time are a consequence of this topology. 

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 hypersphere, being both a mathematical universe in the Max Tegmark Mathematical Universe Hypothesis sense and resembling a computer simulation, where we are as characters within a computer game asking what lies outside our computer generated environment. The particle universe is how the virtual universe stores and manipulates its data. Lorentz formulas can be used to translate between the virtual and the particle co-ordinate systems.

There is a introduction in an ebook format:

Because of the large number of formulas the e-book itself does not use free text. Note that the ebook uses flash and cannot be read on a tablet or smart phone.