Eric Weinstein And The Hopf Fibration
HTML-код
- Опубликовано: 27 сен 2024
- Carlos interviews Curt Jaimungal. Main Episode (February 2024): • Curt Jaimungal on Life...
Curt and Carlos discuss Eric Weinstein's theory of everything, Hopf Fibration and mathematics.
NOTE: The perspectives expressed by guests don't necessarily mirror my own. There's a versicolored arrangement of people on TOE, each harboring distinct viewpoints, as part of my endeavor to understand the perspectives that exist.
THANK YOU: To Mike Duffey for your insight, help, and recommendations on this channel.
Support TOE:
- Patreon: / curtjaimungal (early access to ad-free audio episodes!)
- Crypto: tinyurl.com/cr...
- PayPal: tinyurl.com/pa...
- TOE Merch: tinyurl.com/TO...
Follow TOE:
- Instagram: / theoriesofeverythingpod
- TikTok: / theoriesofeverything_
- Twitter: / toewithcurt
- Discord Invite: / discord
- iTunes: podcasts.apple...
- Pandora: pdora.co/33b9lfP
- Spotify: open.spotify.c...
- Subreddit r/TheoriesOfEverything: / theoriesofeverything
Join this channel to get access to perks:
/ @theoriesofeverything
#science #ericweinstein
Main Episode (February 2024): ruclips.net/video/3_FSkVTLu1Y/видео.html
Please contact me my friend. I discovered Mudfossils and DNA proven Giant humans and much more on my channel I just uploaded some info. Just hit my orange hand logo to go to my channel...I would love to do an interview with you.
This is the most important info because it completely changes physics. dipoleelectronflood.com/the-theory/
Most important is 1 word "Singularity"
This makes no logical sense honestly, at least from my outside perspective of understanding the logical progression of the spatial Dimensions... it's not adding up.
MATH is logical.
Imagine a spring. When you turn with the spring it tightens, when you go against it it flattens. Now imagine a tornado. If you had the tornado by the tail and spun it in circles with the rotation it would tighten the wide part of the tornado like the spring. Finally, imagine a ring like a wedding band laying flat on a table. Imagine the ring starts to wobble around the rim gaining momentum until it stand like a top, then rolls around the other edge spinning like a coin until flat again. This shape can be stretched in the middle, creating opposing whirlpools, or flattened out completely like the tornado we spin against. The top flattens until the whole tornado is on one plane. Hopf vibration explains magnetism very well.
Doesn't the spring tighten and flatten when you turn with it? Going against the spring makes it go fractal and trying to form a hyperobject with small versions of itself in a lower dimensionality of circles, in 3d relations unlike the linear spring action. edit: after thinking about it, that's very cool about the magnetism, thanks.
You speak in tongues.
@@obsideonyx7604 i do?
S3 is important because it can be parallelized, unlike S2 (the normal sphere). Basically, you can't comb a hairy sphere without leaving a cowlick somewhere, but you can on the hypersphere. What's more, a parallelized 3-sphere looks like a normal 3D space, even though topologically it is four-dimensional. There is a relatively unknown version of GR called teleparallel gravity, the mathematics are equivalent but instead of assigning the cause of gravity to curvature, it is assigned to a torsion. One of the exact solutions to the Einstein equations is modeled by S3, which corresponds to a closed, curved universe.
As for the hopf fibration, which is fundamentally a projection of the higher dimensional topology, it models particle spin really well.
I agree with Curt, the effectiveness of mathematics is not unreasonable! It is in fact a direct outgrowth of our ability to apply reason to our actions and our theories.
Also: it seemed to me when listening to the two of you talk about the n-dimensional spheres, that Curt was thinking algebraically and Carlos was thinking more geometrically. But my math education is limited.
Off to see the whole episode.
Math is the study of symmetries; it is a logic of analogy at its very foundation.
Any reasoning that can be adapted by analogy will have generalizability. But what if that reasoning is the logic of analogy itself?
There is no such thing as 1, but if I say that a pencil is analogous to an orange in that there is 1 pencil and 1 orange, I have invented a concept that is useful for measuring pencils among pencils and oranges among oranges.
Math is so generalizable by its very nature as a logic of analogy.
-repeating this with a tip, because your answer to Why is Math So Useful prodded me to crystalize my feeling about it into words for the first time
Interesting! Thank you. - Curt
When is that Lue video coming out? & how can I submit questions
Can't believe two of my favourite people are talking.
Who is the Carlos in this discussion? And what is his channel?
Carlos Farias
Thank you.@@jamiefoy4531
He has a channel quite similar to Curt's
Finally, you answered that Why is Math Effective question along the lines that satisfy my skepticism of the question.
I believe the significance of Eric’s Geometric Unity is tied to the idea of using Geometry as a model to describe how information is able to be encoded within, as well as transferred across dimensions, with the S3 being contained within S2 feature of this theory, along with other permutations of a similar dynamic occurring with any type of S in particular, to essentially function as a way to take computation and translate that into physical form, and vice versa, which was indeed rather timely to the bring concept up, based on how that exactly notion was mentioned in a different clip from the same discussion.
Eric weinstein also penrose too has Hopf fibration, is related to light rays and the topology of deformation of these light rays as it correspond to angular momentum. The problem is if you not strictly apply this to optics you start building models with hundreds of particles for no reason. These applications also immediately related to velocity flow and gradient flow in kinematics so you have to go from the light rays to condensed matter, radiation and condensation. It's a deep and difficult topic.
cool answers to the unreasonable effectiveness of math.
Please do a interview with Eric🙏🏾I feel your the only one with the mathematical & geometric knowledge who can also break things down into simple terms that can really explain this idea to a mass audience(me)😀
ruclips.net/video/KElq_MLO1kw/видео.html I did! Twice. Once more here ruclips.net/video/dwcjpmVOmqc/видео.html - Curt
Hello Curt. Are you familiar with Thomas Metzinger's work? We really need him on your pod, especially after his latest book The Elephant and the Blind.
Imagine you generate the spinors for the angular momentum but breaking continuity or breaking this evolution. You get the state vectors becomes a static broken states now representing themselves as lines. This state vectors essentially becomes velocities. That is a static current but has gradient
This way the objects themselves don't change while their relation dimensionality does? The objects are able to reattach to what for them is the appropriate gradient, for their angular momentum I suppose. So an dc circuit is a snippet, a line segment from the bundle between Sun and Earth that doesn't change either sun or planet, although they might change outside of that relation. Say the Sun is able to have as an object the abilities of a shell and a tube, that is if we start with the sun as shell, it fragments and the fragments form the tube or axle. A topological flipping perhaps? Is this related to quark spin?
There must be an immaculate conception in that relation between sun and planet other than the tube of the solar system from the Sun "shell", galaxy center black hole for all the suns in the galaxy, perhaps quantum fluctuations enveloping the first black hole from some undifferentiated, unrealized dark stuff; in the flipping it's detached.
I wonder if the "shell" of the Sun could be considered a wheel with an axle protruding from it's center and going for the center of the Earth, the end of the axle is a disc that revolves, is pinned to what is formed as a cone. This is what is formed from "below" in the vertical, and the two cones meet at their base, almost, with a belt of facets like diamond cutting, broad facets like mountain and water shapes and abilities, carbon etc cycles, with finer facets cut into them. The all human object is within the mammal object and can expand and contract within this. A person is a facet on this human object, which shows people as circle (shell) builders.
A basic vital form on the Earth is a triangle of grass, herd and pack, which has within it antagonistic linear line segments that inspire a certain epistemology, like what science does in experiments, that builds a knowledge pool, at least for humans. Follow the energy!
Since the short linear intelligence affording actions (the asserting half of asserting and allowing) are contained within this triangle as vitality this becomes a pyramid and then spins as a cone. For humans, able to expand out into that mammal interaction, eating the gradient :) they lose the vitality and the relations descend into dark triadic. Have a great day!
@@projectmalus you can see in my simulation results how it looks like. Some states are stable and they generate the spacetime geometry based on if the evolution of angular momentum is uneffected.those states evolve into orbital flow, while the broken angular momentum states becomes long range static gradients
The fibers of the heart are VERY similar to the structure of the hopf fibration. Also similar to the mechanics of piezoelectrics, the hopf fibration can also allude to mechanics of gravity in Twister Theory and provide insight into torsion waves. A toroflux is a fun tool to visualize this.
If one were to imagine a perfect sphere of any given diameter and then fill it with any number of imaginary filament lines from edge to edge within the sphere, it makes no difference what the filaments represent, a mathematically perfect sphere has only one edge (surface) thus the number of imagined filaments within it is redundant to the sphere residing within a mathematical area itself. The sphere fulfills its own representation.
It's because the basic ratios that math expresses *are* the local optima for our dynamic systems (or scalars therefrom)
I think what he was trying to say was that math is fundamental across the spectrum of studies in a unique way. Also, we invented knives and hammers, did we invent math? I think math is natural law or in other words reality itself, and we don’t think of reality as unreasonably effective, that would seem silly.
Is the most precise language we have come with the label mathematics is trivial most precise least ambiguous language which is not perfect but is the least ambiguous language we have to organize ideas so in any field we use a combination of formal and natural languages mathematicians build them and other field use mostly a high level of this language
It is interesting how brilliant mathematicians and physicists can have such a poor intuition for philosophy. Curt's argument about math's effectiveness should be obvious yet somehow very few people can reach that conclusion on their own.
These people just have no idea how axiomatic systems work, despite making whole careers out of using them.
Let's face it. Eric wants recognition and fame. He wants to be pictured as this unbelievable intellect. He likes to exaggerate situations and make attention-grabbing claims. I think he is a person who thinks he wants to answer big questions but doesn't realize he is looking more so to be an exalted person by the masses. If you watch him and his body language and listen to what he says, you can easily tell there is a high level of arrogance and self admiration. I think Eric is always trying to put on a show and act like he is some persecuted genius who has to do surreptitious work because academia is trying to hold down his world changing genius.
100%
At 3.30min you re correct 👍 spinors btw are nothing magical, is the same representation but as state vectors.
They are not entirely equivalent. Yes, SU2 is the double cover of SO3, but in doing the mapping S3->S2 you lose information on the global geometric phase. This is why in quantum mechanics the phase usually has no physical significance, because it deals exclusively with vectors. Yet, relative phase differences ARE important, which means that phase in a quantum state is not simply a mathematical quirk. Another way to put it is that our measurements (which involve projection operators) cannot distinguish single states with a global phase difference.
@@FunkyDexter what matters is the pure state, state vectors. The information it contained there, the fibration is a long range or already contains the information of the wave function. For instance if you have a coupling before the wave function expansion, your angular momentum breaks down and you get static flow, which indeed does a major difference. I clearly show this in my renders. Those static flows give you the corpus or skeleton of large scale structure like clusters
@@FunkyDexter in a sense your fibration state is already a mixed state. You want to capture the first moments for the pure state where your spinors emerges from the generators
The theory of evolution by natural selection is generalizable to an extent. I use it to study cultural evolution in Biblical Hebrew Musicology. Some of my colleagues use it to study manuscript traditions and others for language evolution.
Eric reminds me of him being the yuppy version of Tyson 😂
Hahahahaha, foolish
If you anchor math to what the universe is an does it will work as well as the universe. I.e., it's not that math works - it's because the universe does.
You can use a knife as a screwdriver and a screwdriver as a hammer. Mathematics is on every domain. Which domain is on mathematics?
The importance for me is that it has a toroidal structure !
Look up Dan Winter, he's been preaching about this his entire life. He does not call it the hopf fibration tho.
Someone should definitely start a band called “Hopf Fibrations” (ok maybe call it ‘Hop Vibrations’ and see how many people actually get the joke?)🤔😆
Fibration!
Frequency vibration 😅
@@BlackandWhitecustomsvibrequency
The Mushrooms have some good theories, lol, im only half joking. Subaeriginosa.
I respectfully disagree with your take on math. Math unlike they nail essentials created by man. It was heat before us & we discover its beauty. We can evaluate the nail more effectively because we created it.
Awesome talk; lol not even top 5
Why are you on if you cant explain it.
They are bouncing ideas off of each other I feel. I enjoyed it
Your question answers itself.
Huh……
Nerrrds
I think Kurt might be a psychopath because the way he speaks shows little consideration for others emotions or the situation at hand
Most charitable internet commenter
@@olbluelips 😂
I think he’s slightly autistic just like Elon Musk
I honestly think Eric is an expert BS artist and creative/charismatic. I see him more as an entertainer than a true scientist though I could definitely see him coming up with something brilliant out of nowhere. I think his theory is more a jumbled geometric poetry than anything tangible. Especially at this point since it hasn't been confirmed or rejected. Either noone understands it or he is bs'ing for attention and grasping at straws imo.
My thoughts
We are going grey in the same place ❤
According to Wolfram, while the vast majority of the Ruliad is computationally irreducible, it contains an endless number of computationally reducible islands.
In these islands, where complexity may be tamed, we enjoy “the unreasonable effectiveness of mathematics” a la Eugene Wigner.
The unreasonable effectiveness we developed at leveraging this reducibility seduced us into neglecting our connection with the spirit, with the irreducible. It has left us stranded in an isolated realm of reductions - in our own self-referential prison of concepts and words that pose as reality. It is hard for us even to conceive that we may experience knowledge not through the veil of words.
Our triumph, however, will comprise of restoring our ability to grok, on occasion, reality as is (never fully, but as-is), unreduced and unmitigated by concepts and words, while maintaining our ability to leverage, on occasion, the knowledge and wisdom we gained while traversing the lands of Reason.
Bon Voyage! :)
Curt have you heard of David Chester? Quantum gravity researcher, dude is cool and has a knack for explaining things well for dummies like me! Love your channel man
Wait so what’s the fibration?
The simplest way to understand a Hopf fibration physically is to consider a particle oscillating in two dimensions (double harmonic oscillator). Basically it's a mass/spring type system that moves in the x and y directions separately. There are four state variables - the x and y positions, and the x and y velocities (call them v and w). To plot them in state space you need four dimensions. Now constrain the total mechanical energy of the system to a constant value, and choose your constants and scaling factors so that this energy is 1. The total energy (kinetic and potential of both directions) is the sum of the squares of all 4 state variables, so x^2+y^2+v^2+w^2 = 1. This is the equation of a unit sphere in 4D (the 3-sphere). As the particle oscillates, the path in state space is a circle of radius 1, which lies on the 3-sphere. There are two ways you can alter this path. First you can change the phase difference of the oscillations, i.e. the amount that the y-oscillation leads or lags the x-oscillation. Each unique phase difference will have it's own circular path, and all of these paths together form a donut shape, where the donut of circular paths lies on the 3-sphere. Second, you can change the energy distribution - how much of the total energy is associated with the x-motion vs the y-motion. A large amplitude in x means a smaller amplitude in y. Every unique energy distribution has its own "donut" of paths. At the extremes the energy is all in the x or all in the y (a circular path for each), and in between you get donuts where each circular path corresponds to a specific phase difference.
The reason it comes up so often is that it arises from simple math. You can model it with two complex numbers rotating around the origin at constant rate. If you constrain them so that so the squares of their magnitudes add up to 1 ( just like the energy constraint), you have the same two levers of control - the phase difference and the magnitudes of the complex numbers. Geometrically, the two control parameters (phase and energy), can be plotted on a regular unit 2-sphere - hence the mapping from S3 to S2. Each point on S2 corresponds to a unique circular path on S3. This exact situation comes up in a two state spinor system, and quaternion rotation, and it's not too hard to imagine that the same kind of math comes up in many different areas.
Does that make it important? I mean linear equations, show up everywhere in physics. You might as well say that straight lines are the most important object in the universe.
Wow, this was a brilliant explanation 👍👍
@@ShahryarKhan-KHANSOLO- Thanks! I'm eventually going to do a video on Hopf as part of this series:
ruclips.net/video/SwGbHsBAcZ0/видео.html
IMHO, to understand Hopf Fibration, the first step is to understand Hamilton’s mathematics of Quaternions which seems to describe S3 quite well.
Hopf Fibration is a FORCED MEME
Cranking out content nice
Hi Curt, LOVE your work and apologies in advance as I may be coming to the party very late and you have already discussed such things. Mike's comment about not knowing what the mapping of a hypersphere onto a traditional sphere MEANS....perhaps physicists are not the best equipped to extrapolate meaning while deeply invested in the rigors of teasing out the intricacies of their own work? I have a fantastical hope that their exist individuals capable of wedding physics and poetry...or scholars of comparative religious thought capable of teasing meaning from mathematics? Perhaps dialogues between such disparate domains of inquiry may tease theories of meaning from theories of everything. Perhaps both are one and the same understood from different perspectives...just some rambling thoughts...again, LOVE the work you continuously and bravely engage with.
This is where I start to look at Donald Hoffman, Bernardo Kastrup, Rupert Sheldrake, Iain McGilchrist, John Vervaeke. A mixture of math, philosophy, physics, religion
Chris lehto gone mad,
Thinks he found theory of everything and is smarter than einstein😂😂😂
Nah he said he's definitely not an Einstein, just that 100 years of physics and a lot of AI assistance has helped him formulate a theory that Einstein wouldn't have been able to make in his day due to lack of data.
I dont know why Curt goes off describing different definitions of higher dimensional objects/projections of these when the question is what makes the Hopf Fibration significant in the mind of many physicists.
It's because it has 7 different applications in physics alone, this isnt even counting other disciplines.
Penrose said it is,"an element of the architecture of our world”. I'd side with Penrose here.