The Beauty of E8

[Global]

Put down your tesseracts, folks. Behold - the E8: an 8 dimensional polytope! (sorry if this isn't new to some of you!)

If this is what 8 dimensional things are like, then I feel safe to say that a good portion (of at least breakthrough level hyperspace) that I've experienced is in at least 8 dimensions. There's just something about this that like hyperspace I just can't put my finger on. It's something in the way parts of it appear to bob in a floaty fashion on certain planes along with the incredible amount of detail. Obviously this is still crude compared to hyperspace...but damn!

The video can get a bit grainy from the low-res, but the poster has made it available for download in high-res if you read the info. You might wanna watch it not full screen with low res so you can appreciate more of that DMT-like crystalline multidimensional watery beauty

 

[Guyomech]

Supercool! I've seen the E8 before but not animated like this- which obviously is key to fully appreciating its complexity.

This is my favorite hyperspace visualizer:

Hyperspace Star Polytope Slicer

Java Applet: Stereoscopic Cross-Sections of 4-dimensional Star Polytopes

dogfeathers.com

Its not a video, but actually a JavaScript with a few controls. You can detach the viewer window and maximize it, render the shapes in several different ways, move through the controls to change tooth the complexity of the shape and the location of its cross section. Play with it enough and you can start grasping how time or sequence is in fact a fourth physical dimension, no different from XYZ except in how we experience it.

 

[olympus mon]

If you think Garett Lisi's Lie group E8 is just a super cool animation read on Global. The points your seeing within the group are each a predicted sub atomic particle many which have been found at cern after his Lie group predicted them including the higgs boson!!! The standard model is no considered complete but his Lie group E8 predicts many more particles which is quite interesting for a surfer bum from Hawaii to open a new way of particle finding.


Not only is mathematics mindblowing its also beautiful. Our world is made of maths, from the weather to the sparrows perfect wing. It all comes down to mathmatics.

 

[embracethevoid]

Wow that's incredible, that hyperspace visualisation is exactly how I feel the holographic universe infolds and enfolds at its spherical boundaries. The entire process from nothingness singularity to an exploding self-resonant fractal is precisely how I'd imagine this universe bursting into existence.

The self-interaction at the outer edge is precisely the kind of thing I was shown on a few spice journeys. It's like each pixel on the surface radiates its information on the surface plane and the ripples from the state of each bit result in the creation of new information encoding the previous state and the novel state produced by wavefunction "collapse", repeating ad infinitum. The result of course is an expanding shape growing in data content precisely as demonstrated.


There was a lot of hubbub around E8 due to the work of one Garret Lisi (An Exceptionally Simple Theory Of Everything) but I don't know what's happened to that since.

It's certainly pretty elegant. Personally I don't believe that the structure of the universe can be contained in something as 'simple' as a [relatively] basic mathematical object within it.


Think about it: all these quarks, electrons and photons create this magnificent superstructure. One substructure (human brain) of that superstructure contains a representation that may be analogous to the superstructure's fingerprint, its DNA if you will. What will this representation look like? It would assuredly have to be some kind of fractal, that when repeated in a certain fashion, would itself enumerate the entire universe: holography - drop in the ocean in the drop. Consequently it would inherently have to solve any self-referential paradoxes and simultaneously prove Godel's incompleteness theorems yet contradict them in a fashion that demonstrates those theorems do not apply to itself.


So, if we are to probe the world of galactic filaments, are we going to see E8? If we are going to probe viral DNA, are we going to see E8?
"Wherever you turn is the face of God"

It must necessarily encompass or use consciousness as an input, and consequently if free will is the case, it must enumerate the mechanism for that meaning it could never produce a definite statement, except as a set of probabilities for occurences to happen - given a moment X, what am I most likely to want to do? Otherwise it would be a case of "What shall I have for lunch... *fires up Unified-Wavefunction calculator* - ooh, cheese sandwich... So it is written in the Book of Life, so it is Destiny, so it is my Ultimate Fate".


Science cannot solve the ultimate mystery of nature. And that is because, in the last analysis, we ourselves are part of nature and therefore part of the mystery that we are trying to solve. - Max Planck

 

[Global]

If you think Garett Lisi's Lie group E8 is just a super cool animation read on Global. The points your seeing within the group are each a predicted sub atomic particle many which have been found at cern after his Lie group predicted them including the higgs boson!!! The standard model is no considered complete but his Lie group E8 predicts many more particles which is quite interesting for a surfer bum from Hawaii to open a new way of particle finding.


Not only is mathematics mindblowing its also beautiful. Our world is made of maths, from the weather to the sparrows perfect wing. It all comes down to mathmatics.

That's amazing Olympus. I was discerning a number of sacred geometry patterns in there, so I had a feeling it was more than just a "cool animation", but that really is astounding with the higgs and all.

Guyomech, you're right the animation is definitely key to appreciating the E8. Somehow when I view it, it manages to carry a certain amount of seeming like it has a vital significance as certain patterns within the godhead emanate as well. It just connects with my core in such a way during certain parts of the rotations.

The self-interaction at the outer edge is precisely the kind of thing I was shown on a few spice journeys.

I know exactly what you mean. I was particularly drawn to the action at the periphery as well for the same reason. With my open eyes, I often see translucent holograms much like that one, and when I've really had the opportunities to study them up close, they present themselves as these intersecting vectors much like in this animation at the periphery and the points of intersections themselves when seen really close up appear to be data of some sort - an indecipherable numeral.

 

[spinCycle]

This video gives a pretty good aproximation (though way simplified and without the fractal aspect) of the motions that I have percieved in hyperspace. Imagine an entire field of vision made of fractals doing this sort of thing and there you have it. Well, most of you probably don't have to imagine. :d

[YOUTUBE]

 

[Bill Cipher]

Super cool, indeed. Thank you all for the links.

 

[AfroHorror]

This was great at explaining it:
[YOUTUBE]