“Listening to the Logos rather than to me, it is wise to agree that all things are in reality one thing and one thing only”
–Heraclitus (Greek philosopher 500BC)
God The Mathematician
God vs science debates tend to be restricted to the premise that a God does not need science and that science does not need a God. As science and God are thus seen as mutually exclusive there are few, if any, serious attempts to construct mathematical models of a universe whose principle axiom does require a God (Intelligent Design). In other words, if there is a God responsible for the 14 billion year old universe of modern physics, the universe of Einstein and Dirac, beginning with the big bang as HIS act of 'creation', then how would HE do it? What construction technique might HE use?
This text outlines the physics of a Virtual Universe model that is analogous to a computer simulation, with the premise that laws of physics were programmed into the universe and the programming language used is what we refer to as the laws of nature. In this scenario the universe is growing, as all living things grow, via these laws. The big bang was followed by a cosmological natural selection process that eventually formed habitable planets leading to the next stage in the evolution of the universe; life itself.
The analogy is that of us as characters within a computer game who are given an intellect, a freedom of choice and a learning capability so that the game may then play by itself. This would require that these characters (thats us) would perceive themselves and their computer generated reality as being that of a real physical material world. God as the Programmer thus needs to solve these 2 problems of intellect and physical reality.
I propose that HE used a set of mathematically based rules via which a self-aware Swarm Intelligence (that's us) could naturally evolve and that these rules are embedded into the universe operating system.
I then show how the physical dimensions of our universe; mass, space, time, temperature, charge ... (commonly known as the Planck units) can be described using only 1 dimension and that this dimension is a mathematical rather than physical construct, the formulas for these units resembling a programming code.
As this model needs only a time measure then the physics of our real material yet dimensionless world could be identical to the physics of the world we create in our dreams, for a dream has a duration typically of 5s to 20mins and thus the unit time, but a dream has no physical mass, space or charge. Nevertheless it can accurately mimic our perceived reality.
I conjecture that these 'laws of nature' are essentially mathematical, that there is a form of mathematics (a mathematical theory) that we could describe as 'organic' as opposed to the 'applied' mathematics that our engineers use. It is this same organic mathematics that determines the flight pattern of a mosquito, the organisation of an ant colony, the growth of a fetus ... and that via these rules the big bang evolved into electrons and atoms to stars and planets and ultimately to organic life. Our planet earth may thus have been encoded into the universe source code itself.
These rules are complementary, they were chosen to overlap and give rise to a Swarm Intelligence. I submit that our brains are an example whereby we are the sum of our neurons, each neuron working according to this rule set. We are not creating thoughts, we are growing them. The algorthims we use in Artificial Intelligence programs are based on this Swarm Intelligence.
This book Plato's Cave, the title taken from Plato's Allegory of the Cave (from The Republic) for reasons that will become apparent, describes a model of a virtual universe programmed according to simple geometrical rules. This model presumes 2 parallel universe; the physical universe of mass, space and time... which we observe and science can measure and a dimensionless (without mass, space or time) mathematical realm (the software domain) that projects our physical universe as an image, such as popularised in the sci-fi film The Matrix and in the writings of Plato and Pythagoras. The theory behind this model is derived from the formula for a black-hole electron. It is the structure of this black-hole electron that suggests how the universe could have been programmed, it also implies that there is a 'Programmer', whether we label this God, Intelligent Design, the Great Architect ..., such that our universe did not appear as a result of random chance but is because it was in some sense planned to be.
As the Ancient Universe, being the Universe of the ancient philosophers; Plato, Pythagoras et al, the eastern mystics from Buddha to the Tao and of course Genesis of the bible, describes a deity based universe, our journey to decode the 'Programmed Universe' begins there. The journey ends with the mathematics of a dimensionless black hole, itself a virtual universe aptly described in the biblical Genesis as the Void, the Tohu va bohu (תֹ֙הוּ֙ וָבֹ֔הוּ) - a Hebrew phrase in Genesis 1:2 that describes the condition of the earth before God said, "Let there be ...
Mathematical realism (aka Platonism) becomes mathematical reality.
In brief, the text offers a solution to the twin problems of how to create both intelligent lifeforms and physical dimensions within a virtual simulated (software) environment.
This website, platoscode.com, is a 'popular' introduction to the model which I have tried to make both readable and interesting (I am told with little success) for the non-technical reader (see ebook). For those with a technical background the physics (formulas) of this model has been moved to another website (see physics).
(20/June/2017): Text (parts 1-4) with description of dimension "u" as described in the black-hole electron article
(06/May/2017): Revised chapter 2.12 F=ma, book part 4
last update (planckmomentum 1/Feb/2017):