The E8 Lie Group and the Theory of Everything
The man who many be on the brink of answering the most important question in science is a Physicist turned “beach bum” called Garrett Lisi, and his E8 Theory is (in his opinion) on it’s way to forming a Theory of Everything. The E8 Theory is essentially based on twisting a collection of identical circles around each other in different ways to create a mathematical shape known as a lie group and from this lie group the construction of our universe can be found. Large Hadron Collider, The Telegraph, Roger Highfield, 2007.
It starts by wrapping one circle around another, keeping the second circle perpendicular to the first, creating a shape called a Torus, specifically a Ring Torus, which looks very similar to a ring donut. Then by wrapping a third circle around that, perpendicular to the first two circles you achieve a 3 dimensional shape. Garrett Lisi’s theory was discovered by continually repeating this process of twisting circles until he had 248 circles interlinked, creating a shape beyond standard human comprehension, almost impossible to visualise in 3 dimensions. He called this shape the E8 Lie group.
Many may be wondering how this relates to the creation of our universe or our simulated universe or indeed fits into the Grand Unification theory. Garrett’s discovery becomes interesting when you begin to pull the E8 Lie Group shape apart and notice that the way in which these circles twist around each other corresponds incredibly closely to the way fundamental particles interact on a Quantum level.
When dissected and mapped by computer programs, it can be seen that every circle relates to a different type of elementary particle, certain circles have been seen to directly relate to electrons, others to the strong force particles known as Kluons, others to Photons (the particles carrying Electromagnetism), and even to the weak force particles known as the W and Z Boson particles. TED Conference, G. Lisi, Feb 2008
Then Garrett found a set of circles, which he believed represented the illusive graviton; the particles that make up gravity. This is a particle that has avoided detection since the birth of the human race. The route Garrett is going down is a very important one, because if what he is proposing and working towards is even remotely close to being correct then it’s a hypothesis that almost all have given up on and that is “a Unique unification within a beautiful mathematical structure” as put so eloquently by Dr lee Smolin, a theoretical physicist from the PITP (Perimeter Institute for Theoretical Physics). Life of the Cosmos, L. Smolin, Oxford University Press, 1997.
Computer Advancement: A Life in Pixels
Garretts theories highlight the huge importance shapes have in the lives of the human race. Whilst his discovery involves highly complex shapes and structures it is important not to disregard the simplest of shapes, for example the Pixel. It may be a tiny square but it can provide just as much insight into our existence as it’s complex adversary the E8 Lie Group.
As many will already know a computer-based image, no matter how realistic or complex, can always be broke down into pixels. These are the smallest addressable screen elements in a display device such as a computer screen or television. Each pixel is a part of a larger image and it is given its coordinates on the display device by the computer system. These pixels vary in colour intensity and by combining many pixels of varying intensities of colour an image is created. The greater the number of pixels in a fixed boundary the sharper the image will be.
The main way we discern between what’s real and what isn’t in our world is pixel density. No matter how good a graphical representation is the pixel density will always unveil it’s authenticity. To put in bluntly, zoom in and the quality decreases.
This is where the idea of a computer-simulated universe begins to hold some weight, not much, but some. Most would assume that things in our universe don’t break down into pixels but they would be wrong, zoom in and on a quantum level it is clear that all matter is made up of pixels.
These are tiny fundamental particles, billions of times smaller than an atom. The theory that handles this far beyond microscopic world is called Quantum Mechanics and it applies to the whole universe. As Rich Terrell, a JPL (jet propulsion laboratory) scientist, states, space, time, energy and indeed our entire universe is quantised. It’s all made up of tiny pixels, which means the universe has a finite number of components, which means a finite number of states, which means it’s computable. Through the Wormhole, Discovery, R.Terrell, 2011
Many still believe that a computer will never possess the traits of a human or the ability to create self-aware programs and entire simulated worlds. Moore’s law states that computational power doubles every 18 months to two years but over the last two decades it’s been doubling roughly every 13 months.
The current fastest computers on the planet are comparable and even exceeding the computational power of the human brain. To put that in perspective human brains can complete roughly 1 million billion operations per second. So following Moore’s law and taking into consideration the increased exponential rate of technological advancement, that number of operations per second could double in 13 -18 months meaning that by 2012/2013 the fastest super computers on the planet will be twice as fast as the human brain.
When you continue along the scale, that shows an increase by a factor of 500 over the next decade, meaning that by 2020 computers will be 500 times faster than our brains. If these figures hold true, a computer will be able to create a 100 percent photo-realistic recreation of human life and that is where the line between simulation and reality begins to blur.
Rich Terrell claims that if you take a human brain and a laptop computer built 50 years in the future, both will be a similar size and volume and use roughly the same amount of power. If you then remove the element of physical appearance and begin to ask them questions and you can no longer differentiate between the human being answering and the computer answering then they are qualitatively equivalent. So in essence if you believe a human being to be conscious and self-aware then you must assume the same of the computer. Through the Wormhole, Discovery, R.Terrell, 2011
This whole concept of a computer simulated universe coupled with human desperation to discover the nature of our existence will no doubt lead to immense discoveries over the coming years, decades and centuries, but it’s important never to discount any theory without first understanding it’s fundamental laws.
Our ability to understand and to analyse is one we have built up over millions of years of evolution. The big question is; did that evolution take place within a computer-simulated environment or within a truly organic planet and universe?
Recommended Reading
- Well of Souls series by Jack L. Chalker
- An Exceptionally Simple Theory of Everything by Anthony Garrett Lisi
- Introduction to Elementary Particles by David J. Griffiths
- Collider: The Search for the Worlds Smallest Particle by Paul Halpern
- The Quantum World: Quantum Physics for Everyone by Kenneth W. Ford and Diane Goldstein
Disclaimer
The opinions expressed in this article are those of the author and do not represent the views of any affiliated scientific organization. The theories and conclusions within this article are speculation and should not be regarded as scientific fact.
