Raymond Aschheim - Projecting the 8-Dimensional E8 Lattice to 4D
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- Опубліковано 12 вер 2024
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Raymond Aschheim explains how we project geometrical objects from a higher dimension to a lower one, and specifically how we project the 8-dimensional E8 lattice to a 4D quasicrystal, also known as the Elser-Sloane quasicrystal.
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I love this! Please post more videos of Ray drawing on a whiteboard! Somehow the explanations feel more tactile and easier to understand, as opposed to the PowerPoint presentations.
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Is there an 8-dimensional "engine" behind our universe? Join Marion Kerr on a fun, visually exciting journey as she explores a mysterious, highly complex structure known simply as 'E8'--a weird, 8-dimensional object that for some, strange reason, appears to encode within it all of the particles and forces of our 3-dimensional universe.
Absolutely elegant formulization!
Keep your eyes peeled for our new E8 documentary - coming soon!
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a more complete explanation requires visualisation in 3D software. the concept of slicing to obtain the E8 to 4D projection is still difficult to 'see' in a 2D sketch
Your work is greatly appreciate, and this video is greatly appreciated
Because the Universe is never at absolute zero there is always the spontaneous absorption and emission of light. The projective geometry that you are talking about can be formed by this process of energy exchange! There is always the spontaneous absorption and emission of photon energy with the movement of positive and negative charge. In our everyday life (low temperature) the movement of charge is relative to the atoms of the periodic table. At higher temperatures in the form of plasma the same process continues on a much larger scale in the form of plasma with charge being able to cover a large area of interstellar space.
I just found this channel, very intriguing and very interesting. I hope to see more of this. I thought the question that kicked off the explanation was very insightful: What is doing the projection, obviously it's not light. I can understand how mathematics, as a tool, calculates a projection. But it's not an explanation as why or how it is projected into our 3D space -- This theory seems very elegant and I'm sure that the work follows that from E8, when it is projected to a 4D QC is as you say... and I'm not a physicist or mathematician to fully appreciate this, I can only imagine... but in all of this explanation -- where does this theory suggest the higher dimensions are? How is it that they are not visible to us? How come we only see a "projection" into 3D? -- Could it be that they are duplicated (parallel) spacial dimensions inside the objects and/or space themselves but manifest as different properties of matter? Anyway, great thought-provoking stuff. Thanks for posting.
all have answers. keep investigating please!
Well the 8d quasicrystal lattice is so very small. A million million times smaller than than the diameter of an atomic nucleus. Down to the Planck minimun. The parameters of the lattice is derived from the densest packing of equally sized spherical objects. The contact points of the spheres create the vertices of 8d quasicrystals.
As an example:The 4d polytope tresseract or hypercube. It's a 3d typical cube that projects into a higher dimension creating two cubes. The projection lines, the lines that connect the two cubes are part of the 4d structure. It can be created in 3d but you quickly see that it's only a projection of the vertices and wire frames they create of the hypercube. The outer cube encompasses the inner cube, or if instead of an up and down dimensional projection. One cube being in a higher dimension and then one being projected down in that cube another. Instead of that, it can be projected forward and backwards of eachother or left to right. Which is more realistic because the scale of the cubes stay the same. Even though there's plenty of space for the projected higher dimensional cube. There's no way to realistically create it without the sides of one of cubes blocking the view of the other. So they use vertices, wire frames, and projections. Wire frames of the 8d quasicrystal have been created. It looks kinda like one of them rough rubber balls that a dog would chew on and play with. There's 240 vertices in the 8d quasicrystal compared to 8 vertices in the 4d tesseract. Most of the vertices are on the interior of 8d quasicrystal. We see things in 3d. When we're looking at these crystals to see the the different particles, like an electron in 3d reality as we know. Like in the case of the tesseract we're only seeing one of the 3d cubes that make up the tesseract. It just so happens that the 8d quasicrystal matrix projects 2 4d polytopes that are made up of tetrahehdrons, then them matrixes project into the 3d electron. I think the higher dimensions are somewhat analogeous to virtual particles in QFT. As in the higher dimensions find there reality up in the conscious realm, between the ears sorta thing. Except the theory itself is heavily based on geometry number theory rules. Such as platonic solids, and numerical patterns in nature.
Im trying to figure out how the cmb data would resolve itself with this theory and what sense it would make. Compared to the physics that we have now. That says the big bang had to pause 20min in order for the energies to even out, which gives the cmb a different value than the actual current physics gives it.
@@jasonbrady3606 -- Thanks for posting a reply... this is really a deep subject... You know, it really is hard to get a sense of this, both on a small scale and in higher dimensions... I do get what you're saying about the 4D tesseract, I've played around in simulation and I've seen how the rotation of the object in the 4th axis occludes our 3D vision. But what is interesting about this model is that something in the geometry appears to be physical -- but how is it that the geometry of these things change the perceived physical properties? Vertices, points, lines, projections are all very wonderful mental constructs used to convey this theory, but the rubber hits the road somewhere to reify it... maybe this has been answered, I wouldn't be able to tell, but to the layperson this feels more like a tautology. I think if we had a clear answer to that question we'd be further along.
Wish I understood better. Thank-you
Brent T, projective space treats an entire line as a single point. So if you have a 2D projective space, it can be visualized in 3D. Since a line is 1D and 3-1=2, the projective space is technically 2D. I'm a theoretical physicist and it still confuses me sometimes, hope that helps a bit!
u could start by learning the 3d projections for computer graphics.. then u can adapt to 4d projection (well explained on several tutorial sites about computer graphics ) .. if u know a bit about group theory ( what is a norm and what is a metrik) then u can understand what he is doin. :) computer games use these matrix multiplications a lot
literally no one has any idea what he's talking about
Thank you so much.
You're so welcome! Thank you for watching!
Before I watch this I must admit I am excited. When others would talk Raymond looked so bored. He looks quite excited here.
He's never bored, he's just listening!
I'm from a small town in France
dude you're my roommate- why you gotta lie
@@vegandolls LOL
Of course both 8D and 4D at this point are entirely theoretical mathematical concepts, with as of yet, no analogs in reality. There are lots of interesting claims for such, but no solid proofs. Whether or not this is an artifact of human capabilities is as of yet to be discovered. One of the largest difficulties to overcome is the fact that humans have evolved to perceive the universe in 3D. That allows the possibility of us being completely surrounded by higher dimensional objects. But they would be invisible to us with our 3 dimensional senses. With all of that having been said I have some questions about Mr. Ascheims statements. The main one is his asssertion that the 4D shadow is composed of golden ratios. Wouldn't that be totally dependent upon the angle of light creating the shadow? As that angle changed, the ratios would also change, with only certain angles producing golden ratios.
I thought wouldn't it beer wonderful to understand this stuff. After watching this explanation clearly heavy post grad math is needed lol. Oh well. I'll tagged his word.
I thought the spaces would be too small to see?
You guys on this blog must be geniuses. He lost me at Hi.
We take a slice of this lettuce 🥬
Now I see why he was bored with some of the rest.
Is he incorporating the Higgs Field? It looks like it from the drawings he made.
Very good and forward thinking. Also the fact he try's to escape our dimensional constraints while others seem to try to ignore it.
Can u do video on 24D
I think that dimensions above 12 are not stable, so maybe you can't project an unstable dimension onto a lower space. Would be fascinating to hear the
informed answer regardless.
@@jaywulf,
Why're dimensions above 12 unstable (in your opinion)?
So in a model using a 3 D cube, where a 2 D projection occurs onto a plane - light is the medium that produces the effect. So the shadow or more accurately the "absence of light" is the 2-D effect or the image we see. What is the equivalent of light or medium that enables the E8 lattice to be rendered as our 4 D experience. Does this medium exist in the 8D field or is it a entity which exists apart from and separately from the field ? Sometimes I feel like an ant on a Mobius... trying to determine where I am where I am going and where I have been.
TheZooman22 this is my question too! I think maybe the analogy is tripping us up as its all mathematical
I think he's trying to point out at the beginning that you don't need light. In 3D modeling software, which work on math, a light ray is just a straight line cast from one mathematical coordinate in 3D space in a certain direction. This line will detect when it hits an object (this object is also just math, made up of lots of surfaces which are 3 coordinates in 3D space that form a polygon or a triangle) and bounce of it. In this example it doesn't need to bounce, it can just stop. You'll need millions of lines doing this to simulate light in 3D software and these lines bouncing back into the camera (or screen) is what draws the picture (sometimes the other way around where the rays go from the camera and into the light source doing the simulation backwards). Point is that you just need a line going from point A to point B and if something intersects with the line it will prevent it from getting to point B, creating the so called "shadow". I don't really get it either, but I think that's what he's trying to say right at the beginning, this stuff hurts my brain.
My guess is a consciousness in 8D would be etherial and so observe in 360 in all planes.
No external light needed; plenty within. :-)
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Can i get sum book references??
This totally explains Bigfoot
This makes me sad.
I weep for the lost multi-dimensional information.
Imagine the beauty of a masterful alabaster sculpture projected onto a gray blob of a shadow. Like that, from higher dimension. Depressing really. Trully we are worms rooting blindly in the soil.
We live and see everyday a 3D universe that's right but maybe we are not limited to our everyday's view. Perhaps this beauty is accessible to our brain, only in our mind
Any work out there that resembles these projections?
That guy looks like a tennis player from the 80s John mackenrow
Funny, the more I watch and learn the dumber I get. 😂
It is a projection not a shadow.
a shadow is a type of projection. don't act like you didn't realize.
Is that it? Yes🤷♂️ another question?🤣🤣
This guy may be your most brilliant you have. Yet even with his effort he is only scratching the surface.
The problem with illustrating this is you would need a white board that surrounded each of us and all of us. Then your "crystal" would grow as both the subject point of view at the same time the observers point of view.
I have seen it because of my before birth memories.
My whole life I have spent trying to understand what I saw and have seen in my special situation.
This is where it lead me.
You folks are too rooted in what you see in this dimension so you try to resolve it with these drawings that at best, as here are only going in the wrong direction.
You can't describe the cup living inside the cup.
I remember from being outside the cup.
Tom Barker this is really interesting. Have you written about your experiences anywhere? How does one get outside the cup? Or isn't it possible?
Be the dimension you want to see!
@@theanxiousplanner3516 dmt
More info please!! Very interesting!
That is a very intertisting proposition brother, something that grows from both the subject and the object. Can you talk more about it?
Light is energy,energy is god you try your math butt do not feel the need regardless yor knowledge or understanding to understand God energy iz limited by nott yor parameter
energy is information, so god is information ? And then, can we learn about this data and so about god ?
I dont understand any of this... It doesn't make sense... I feel list and confused like those of you that understand it are being made to understand it... simulated to understand.