Aug 26

(this page updated 26 March 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 illusion of our physical reality**

The Greek philosopher Plato wrote a story 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.

One day a prisoner escapes from the cave; sees the sun, sky, land outside…, and returns to tell his fellows of the wonders of the real world. This however becomes heresy as it challenges their accumulated wisdom, their knowledge and their cherished beliefs, in other words, the wall of their cave. Socrates, who is telling this story, wrote of the returnee;

Would he not say with Homer... Better to be the poor servant of a poor master, and to endure anything, rather than think as they do and live after their manner. (link: Plato's

__"Allegory of the Cave"__from The Republic).

This website is constructed around a mathematical model of the universe and is a discussion of the physics and philosophy of that model. This model links to sacred geometry for it is predicated upon the geometry of a circle, nevertheless it is the only theory that can calculate physical phenomena such as the mass of the electron (mass = 9.109382323 e-31kg), the results are listed below.

It is named after Plato's Allegory of the Cave for although the mathematics is trivial, we find that our solid universe, our mass, space and time, are illusions... instead the universe code may lie within the radius of this circle - Omega and an unknown ratio known to science as alpha...

Note: this online book reader requires flash.

Plato's Cave; the sacred geometry of Alpha and Omega

the Universe that Isn't - our illusion of mass, space and time

**What are the dimensions of our universe?**

The classic parable of the blind men and an elephant, part of Buddhist, Jain, Sufi and Hindu folklore, tells of a group of blind men who each touch an elephant to learn what it is like. Each feels a different part, but only one part, such as the side or the tusk. They then compare notes and learn that they are all in disagreement, although each are of course correct. After realizing their mistake they are able to combine their respective parts and reconstruct the elephant.

We measure the universe around us using common units; the mass of an object using kgs or pounds, time using seconds, charge using amperes, length using meters or feet etc. These seem to us to be distinct units, for example we cannot say the mass of a car is 2000 seconds or the distance from LA to NY is 3000kgs. However although we may describe a coin using 2 different parameters - heads or tails, we acknowledge that these are simply different views of that physical coin. And so, are our dimensions, our world-view, our kilograms and meters and seconds..., like those heads and tails, also simply different viewpoints of a deeper reality, simply parts of the elephant?

**Sacred geometry and Omega**

Sacred geometry presumes that the universe was created by God according to a specific geometrical plan, in essence it is a search for the fingerprint of God in the make-up of the heavens. The belief that God created the universe thus has ancient origins, Plutarch attributed it to Plato. Conversely, according to Stephen Hawking, "string-theory is the only candidate for a complete theory of the universe". Nevertheless wiki notes; At present, there is yet no candidate theory able to calculate the fine structure constant alpha or the mass of the electron (http://en.wikipedia.org/wiki/Theory_of_everything).

This book describes a geometrical universe whose fundamental structure seems to be a torus. In our 3-D space a torus has the shape of a doughnut; however about this particular torus we can say only that it is a mathematical torus. Science considers mass, space, time, although still mysteries, to be fundamental properties of our universe. Here in the mathematical universe of this text, these are considered geometrical attributes of that torus. This torus is the elephant; what we think of as space is the surface of the torus; time is the rotation of the torus, electron as torus volume and so on. Our supposedly solid universe is a projection of this mathematical universe from these different perspectives.

The introductory chapters of the book are now online, they discuss the theory in more detail and so need not be further repeated here. The principal concept being that there is an underlying geometrical reality to our material mass-space-time universe that has been obscured by the units (speed of light, gravitational constant etc) that we use; for our universe can be resolved precisely numerically (mass of electron etc) simply as a set of integers imbued with motion. The Matrix.

**Alpha and Omega**

Nobel laureate Professor Leon Lederman once wrote:

There are 2 numbers used in this theory, 1 is Omega, which is the radius of the circle from which our dimensions arise and the 2nd is alpha (known in physics as the fine structure constant). We can represent mass-time-space-charge etc in terms of Omega whereby solving the t-shirt using P = Omega gives the parameters of a Planck micro black hole;

and solving it using our SI units gives the fundamental constants of physics;

For those who are familiar with physics, I have put the above formulas, with an online calculator (below) on the website planckmomentum.com/alpha. The number in the white box is the calculated answer from the t-shirt, the number directly below it is the latest experimental value, known as CODATA 2010.

The proposed 'black hole' 2V = 4piΩ

^{2}is the formula for a sphere, our V = c = 299792458 m/s, the underlying geometry of V has been obscured, our V = c conveys only a numerical value without information. It is just a number, the real meaning of V has been lost, as with L = space and T = time.

In all formulas above we have used only dimensionless constants pi, alpha, Omega and dimensioned constants P (sqrt of momentum) and V (velocity). We may note that such a solution is not thought to exist..., quoting from a Scientific American article; Prof J Barrow et al remark; "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, m

_{e}... 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 m

_{e}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.

planckmomentum.com

**A living universe**

We live in a universe that appears to operate smoothly according to a set of laws which we do not fully understand. Furthermore we have 2 completely different and opposing sciences to describe this universe – the life sciences; biology, organic
chemistry, and the physical sciences; inorganic chemistry, physics... Likewise we have a distinct separation between the spiritual and the scientific worlds although the spiritual realm is intrinsically linked to the life-sciences.

And so we may ask, is it not redundant to have 2 completely different sets of laws to govern a single universe, especially as biological systems clearly integrate seamlessly with physical systems.

We know there is a biological science, we ourselves are evidence of this, and so if there is only 1 set of laws that govern our universe, then these laws may be the laws of organic systems, in other words, the physical sciences may themselves be life sciences.

If our universe is somehow organic in structure then our universe is not simply expanding, it is physically growing, presumably according to a biological mathematics (the mathematics of biological systems). And as biological systems begin with a simple instruction set (the DNA) but quickly develop complexity, could it be that within these 2 mystery numbers, Alpha and Omega, is encoded the DNA of our universe?

Omega ~ 2.00713495...; {Ω^{2} ~ pi^e/e^(e-1)}

Alpha ~ 137.0599...

The mystery of our universe may even be the mystery of life itself.

read Part I; the organic universe

**The 5th element**

**A 5 element theory and the fundamental constants of physics**

We are not sure where the 5 element theory of the universe originated, but by 500BC it had spread from Japan, China, Tibet, India to Europe. It included the 4 terrestrial elements (earth, water, fire, air) and a 5th celestial element, the fabric of the universe itself. Curiously physics also uses 4 elements, known as the mksA SI units (kg, m, s, A), and if we extrapolate from these we can propose a 5th celestial SI unit -Q, the square root of Planck momentum...

**The mystery of the Yin-yang**

**The Yin-yang and the wave-particle duality dilemma**

The present-day philosophical Yin-yang symbolizes a dualism, the original Taoist Yin-yang was a graph of a cyclic event over time, presumably the first Yin-yang mapped the ratio of sun and moon over the course of 1 year, it was therefore a 365 day clock.
Here I break the Yin-yang into 2 halves; a white circle and a black circle. The white circle has a radius r = +Omega, the black circle has a radius r = -Omega. When we re-combine both circles the area of our Yin-yang becomes 2piOmega^{2} (2πΩ^{2}) and the mystery begins to unfold....
read more...

**Circular time and the Yin-yang universe**

**From a black-hole universe with a white-hole twin**

If we suppose our universe to be an expanding black-hole universe with a contracting white-hole universe twin, then we find a rationale for time, the arrow of time, relativity, dark-matter, dark-energy, mass, space etc where the complexity of our universe, as with all organic systems, arises because of time...
read more...

**The Matrix**

**The Mystery of the Mathematical Universe**

In the film The Matrix, the central theme was that our universe is not real, it is just a series of numbers...

The film was inspired by Pythagoras and Plato. In physics it is called a Mathematical Universe Hypothesis or MUH and relates to the origin of mathematics... is mathematics a human invention or do we discover it just as Columbus 'discovered' America (for example)... does the formula for a triangle exist in the same sense as an apple exists, could that solid chair upon which I sit be just a mathematical formula and so on...

The answer may be quite simple, but it requires some imaginative thinking ... read more...

**Gravity & the Harmony of the Spheres**

**In which Pythagoras suggests an alternative**

In a theory known as the Harmony of the Spheres (or Music of the Spheres), Pythagoras proposed that the Sun, Moon and planets each emit their own unique 'hum' based on their orbital revolution.

When we follow this line of reasoning to its logical conclusion and do the mathematics, we find a solution for gravity that can also be applied to the nucleus, the atom and to molecules. The GUT Grand Unified Theory of physics then becomes a Greek Unified Theory. Pythagorean gravity suggests that the moon is not orbiting the earth, Newton's apple didn't fall ...

**Śūnyatā (emptiness or nothingness)**

**In which we build a universe from zero**

From the Buddhist and Hindu concepts of Śūnyatā (emptiness or nothingness) came the mathematical concept of zero. We show how from zero we can construct atoms. In fact it seems that we can build an entire universe from this mathematical zero. So then, what is zero? ...
read more...

**Cosmological constant and the double spiral**

**Fibonacci's golden ratio and the double or twin spiral**

The logarithmic spiral, the most famous being the Fibonacci spiral (the golden spiral or golden mean) is the classic example of a mathematical rule that applies to both living organisms and physical systems. According to a
University of Manchester
study; "The largest ever research project into mathematical patterns in flowers has proved a link between number sequences and nature, Manchester scientists said..."

The first 'attempt' at a Planck unit theory of nature was by an unknown Cro-Magnon ‘physicist’ 24,000 years ago who engraved onto a mammoth tooth a spiral made up with rows of dots. If we change 'dot' for Planck 'micro black-hole' then... read more...

**500BC Theory of Everything**

From axioms reflecting the 5 elements (earth, water, fire, air, quintessence), Pythagoras Matrix (all is number), a theory of gravity (Harmony of the Spheres), the Buddhist/Indian notion of Emptiness, the Taoist Yin-Yang, Og’s spiral, sacred geometry... I have constructed a universe that isn't what we imagine it to be but nevertheless seems to answer that which we think we know. Where did this theory come from?

**Our universe; the great symphony**

To understand our universe, whose only dimensions are the dimensions of motion; momentum, time and velocity, 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?

**The Logos**

"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

read FAQs

**The Philosophy**

Continued from The Physics (above)

**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 collapses, is Intelligent Design then left as the most probable cause?...

**Destiny, Buddhism, Taoism, Karma, Free-Will and wave-particle duality**

If this Yin-yang solution for wave-particle duality also applies to us, then Buddhist Karma becomes the
Portrait of Dorian Gray. Oscar Wilde meets the Tao...

**The Matrix, Mathematical Realism (Platonism) and a Mathematical Universe**

Just as we may use frequency modulation to transmit music (FM radio) so too the universe uses electron modulation and proton modulation to make atoms...