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Originally posted by bsbray11
So I read your post, watched the TED video and then checked out the image:
Putting all of those things together, this really is an amazing coincidence, if it's really a coincidence at all!
This is the e8default (Petrie) projection in 2-dimensions consisting of the 6720 edges of 8-dimensional length sqrt(2). Edge line colors are varied based on their projected edge lengths. Also, the 2 projection vectors which produce the diagram from the 240 vertices of this split real even E8 are taken from specific "Richter" rotations of the roots of:
rt[x]:=1+5f[x](1+f[x])
where:
f[x]:=3x^2(x-1)(x+1)
Specifically, these are:
X=[0., -0.556793440452, 0.19694925177, -0.19694925177, 0.0805477263944, -0.385290876171, 0., 0.385290876171]
Y=[0.180913155536, 0., 0.160212955043, 0.160212955043, 0., 0.0990170516545, 0.766360424875, 0.0990170516"
Wikipedia source for image
Originally posted by Byrd
The image you integrated in your "Mayan Calendar Image" isn't an image of elementary particles. It's a map of a field of mathematics called the "Lie Group." (pronounced "lee")
Special relativity is a theory of the structure of spacetime. It was introduced in Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists see History of special relativity). Special relativity is based on two postulates which are contradictory in classical mechanics:
1. The laws of physics are the same for all observers in uniform motion relative to one another (principle of relativity),
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the source of the light.
The resultant theory agrees with experiment better than classical mechanics, e.g. in the Michelson-Morley experiment that supports postulate 2, but also has many surprising consequences. Some of these are:
* Relativity of simultaneity: Two events, simultaneous for one observer, may not be simultaneous for another observer if the observers are in relative motion.
* Time dilation: Moving clocks are measured to tick more slowly than an observer's "stationary" clock.
* Length contraction: Objects are measured to be shortened in the direction that they are moving with respect to the observer.
* Mass–energy equivalence: E = mc2, energy and mass are equivalent and transmutable.
* Maximum speed is finite: No physical object or message or field line can travel faster than the speed of light in a vacuum.
Originally posted by bsbray11
Originally posted by Byrd
The image you integrated in your "Mayan Calendar Image" isn't an image of elementary particles. It's a map of a field of mathematics called the "Lie Group." (pronounced "lee")
Yeah, it's a 2D representation of a multi-dimensional object. I understand what it is. Even though the guy in the OP's video also explained it, I've been familiar with multi-dimensionality both in mathematics and in theoretical physics for a while.
Moving to 5, 6, 7, 8 dimensions introduces complexities that truly are difficult to comprehend. I'm still trying to figure out the 2D representations in the TED video, as to what that could actually "look like," but it's a totally alien concept to a 3D being I suppose. It involves a lot of imagine at any rate. But anyway the point the guy in that video is making is, if the E8 model is verified experimentally like Einstein's theory at the new collider they're building, then it'll be the next breakthrough in using multi-dimensional models to predict nature.