(updated 23 May 2015)
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)
The Mathematical Universe
The Greek philosopher Plato wrote a story ("the Allegory of the Cave") in which he compared us to prisoners chained in front of a cave wall. Behind the prisoners there is a fire and much activity, however being chained, they can see only the shadows of this activity projected by the fire onto the wall in front of them. Experiencing only the cave wall, they would think that the shadows displayed on that wall are real and so these shadow images would form their reality.
This website is a brief overview of the book Plato's Cave. In this text I have tried to re-construct the physics of the Ancient Universe but in the context of modern experimental data, relating the 5 classical elements with the SI units, Pythagoras harmony of the spheres with gravity, the void with the black hole and so forth. A coherent picture emerges, but it resembles not the universe of modern physics but rather the universe of the Matrix - from the 1999 film, nevertheless when we solve this universe the solutions to the fundamental constants of physics agree precisely with our experimental values.
And yet this seems only possible if mass is not mass, time is not time, space is not space... and our universe is not what it seems to be...
Alpha, Omega and the Mathematical Universe
Plato's Cave and the Matrix - the illusion of mass, space and time
The dimensions of our universe
Science uses various units and dimensions to define our universe, such as mass, space, time, charge... these units are interchangeable; E=mc2 for example, and so we must ask why. Does m come from E or does E come from m or are E and m as two sides of the same coin and if so, what is this coin? If time and space and velocity can also be interchanged (speed = distance/time) are they also part of this coin and so are our dimensions simply different viewpoints of a deeper reality?
We may then also ask what is space and mass and time...? Where did they come from? How did the universe create them? They form our reality but are they real?
I argue here that there is a primordial dimensionless entity which resembles the void of creation myths (and the Planck unit micro black hole of physics) and that folded within this void are the dimensions of our physical universe as geometrical shapes; mass is a point, time is a circle (radians), space is the surface area of a torus (doughnut) ... and that this void may unfold to form particles such as the electron, and wrapped around these particles are those dimensions ... for without matter our universe would still be a dimensionless shapeless void ...
Philosophically this is a story of creation for our universe may be growing as all organic systems grow. Practically it is a Planck unit Mathematical Universe Hypothesis which can be reduced to the dimensions of angular momentum and to 2 dimensionless constants; the fine structure constant alpha and the to-be-introduced Omega. Our story begins 2500 years ago with the classical 5th element...
Table of Contents:
- The fifth element and the square root of Planck momentum
- Ledermans (TOE theory of everything) t-shirt
- Sacred geometry, the Matrix and the Mathematical Universe
- Alpha, Omega and the Tao; the Yin-yang universe
- Circular time and the Yin-yang Black-hole White-hole Universe
- Fibonacci’s Golden ratio, Og’s Cosmological Constant and the spiral of Theodorus
- Unified Field Theory; Gravitational, Electric orbitals = Anti-photons
- Buddhist shunya (nirvana, akasha, aether), a universe from zero
The above links are extracts from the book, the first 3 chapters are now on-line;
- chapter 1.1: The axioms and eastern/Greek mysticism
- chapter 1.2: An outline of the physics
- chapter 1.3: The Mathematics of the Matrix: The Mathematical Universe
Note: A draft of the latest version is now in the editing stage. For those who have time to review this draft with criticism and comments please email me with a short note and I will send you the download link.
This theory stands upon the mathematical precision of its results. To verify these results I have listed solutions to the physicals constants (with an online calculator) on the website planckmomentum.com/alpha/. Not only are the results correct to 10 decimal places, we may note that such solutions are thought not to be possible ..., I quote Prof Barrows (Cambridge university) in his Scientific American article;
"Some things never change. Physicists call them the constants of nature. Such quantities as the velocity of light, c, Newton's constant of gravitation, G, and the mass of the electron, me ... form the scaffolding around which the theories of physics are erected, and they define the fabric of our universe. Physics has progressed by making ever more accurate measurements of their values.
And yet, remarkably, no one has ever successfully predicted or explained any of the constants. Physicists have no idea why they take the special numerical values that they do. In SI units, c is 299,792,458; G is 6.673 X 10-11; and me is 9.10938188 X 10-31 -- numbers that follow no discernible pattern... The only thread running through the values is that if many of them were even slightly different, complex atomic structures such as living beings would not be possible. The desire to explain the constants has been one of the driving forces behind efforts to develop a complete unified description of nature, or "theory of everything."
Physicists have hoped that such a theory would show that each of the constants of nature could have only one logically possible value. It would reveal an underlying order to the seeming arbitrariness of nature.
Plato's Allegory of the Cave
Our universe; the great symphony
To understand our universe, whose dimensions are the dimensions of motion and which is constantly growing in tempo, a sort of cosmic Bolero... we must first discard our 3-D view of the world in exchange for the language of music, for how can we use mass and length to describe a symphony?
"Concepts that have proven useful in ordering things easily attain such an authority over us that we forget their Earthly origins and accept them as unalterable facts. The path of scientific advance is often made impassable for a long time through such errors... our conceptions of Physical Reality can never be definitive; we must always be ready to alter them, to alter, that is, the axiomatic basis of physics" -Albert Einstein
"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
this section under construction....
evolution, fine-tuning cosmology and Intelligent Design
If the natural fundamental physical constants are fixed in value, then the multiverse (fine-tuning cosmology) as a theory faces problems, is Intelligent Design then left as the most probable cause?...
Destiny, Karma, and wave-particle duality
If this Yin-yang solution for wave-particle duality also applies to us, then the karma of Buddhism becomes the Portrait of Dorian Gray. Oscar Wilde meets the Tao...
The Matrix, Mathematical Realism (Platonism) and a Mathematical Universe