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Can we visualize higher dimensions? After 40+ years working on the math, the best I can do is imagine lower-dimensional analogs and projections, like this hypercube. Some claim to truly see higher dimensions. I’m not one of them.

Brian Greene

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71,806 Aufrufe • vor 1 Jahr •via X (Twitter)

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10 Kommentare

Profilbild von Tom Bunzel

Tom Bunzelvor 1 Jahr

What if they require "senses" we don't yet understand?

Profilbild von Roy

Royvor 1 Jahr

Absolutely agree, Professor. Rather than trying to see higher dimensions, I model how they dynamically express themselves. In my framework, time has a fifth-dimensional hydrodynamic extension, its behaviour governs dilation, inertia, and gravity. It's not about visualization; it's about understanding how the universe moves.

Profilbild von Richard Behiel

Richard Behielvor 1 Jahr

It depends on what you mean by “visualize”. A lot of higher-dimensional things, you can’t exactly imagine, but you can certainly imagine imagining, in a way that’s not exactly not visual. For example, imagine the 8-dimensional Lie algebra su(3), the tangent space of the SU(3) manifold at the identity (up to a factor of i, depending on the convention). Now imagine that entire space undergoing exponentiation, curling up periodically, infinitely surjectively, into the compact manifold of SU(3). Thinking of the topology of SU(3) as a fiber bundle whose base space is the 5-sphere of constant-norm triplets, and fibers are the SU(2) stabilizer subgroup of each triplet, and thinking of su(3) as isomorphic to R8, you can imagine eight orthogonal dimensions of infinite extent, curling up into that beautifully non-abelian symmetry group at the heart of QCD. If I can imagine that, then surely you can as well, probably with much more clarity. When I imagine it, there is definitely a visual aspect to it. It feels like my visual cortex is getting involved computationally, somehow… it’s math, but it’s not just equations, it’s “seeing” it. Doesn’t it feel that way for you too? That there are forms of sight beyond the usual dimensional format of photons hitting a 2D array of rods and cones?

Profilbild von Jessica Sutton

Jessica Suttonvor 1 Jahr

That's because you're trying to imagine them outside of you instead of inside of you

Profilbild von NunC

NunCvor 1 Jahr

Ever tried shrooms?

Profilbild von howallworks

howallworksvor 1 Jahr

If there are higher spatial dimensions, then we should record their interaction with ours, which is not the case experimentally. By pouring a bottle of ink on a stack of paper, we record traces in a lower spatial dimension.

Profilbild von Tardigrade

Tardigradevor 1 Jahr

It depends on what you mean by dimensions: simple, passive one-dimensional lines or the real ones in our universe?

Profilbild von Brian Derickson

Brian Dericksonvor 1 Jahr

Aristotle would argue that you cannot. Your imagination is constituted from your sense, so only if you could actually see higher dimensions could you actually imagine them. But since the former is impossible, so is the latter.

Profilbild von susan

susanvor 1 Jahr

Can’t get there from here (our little/limited slice of existence). But that doesn’t “make it NOT so.” Just sayin’. 😊

Profilbild von سليمـ𓂆ـان الحديدي(🔻)

سليمـ𓂆ـان الحديدي(🔻)vor 1 Jahr

Fascinating insight, Dr. Greene! Your book The Fabric of the Cosmos was my first deep dive into these mind-bending concepts. It’s amazing how much imagination and analogy help bridge the gap to higher dimensions—even if we can't truly "see" them.

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Q showing a 7 star setup on a 5 star scale. "this is like a big big move, goes sideways. builds a tight range, and look at how tight it gets look at this thing, it breaks out and boom. this is like a seven star setup on a five star scale. memorize this this is the basic principle we're trying to like stocks move like stairs. right, you get a leg higher, sideways, leg higher, sideways you get another step higher, sideways, step higher sideways, so we are trying to identify the areas when the next step higher could be formed. you know tight areas we're looking for tight areas so we can get a tight stop so we can get a good risk reward. This is how stocks move. like this one is kind of a perfect one most are not perfect but this is the basic principle this is how stocks have moved in 100 years and there is no reason they should stop moving like this just because you're getting started in trading..."

Q showing a 7 star setup on a 5 star scale. "this is like a big big move, goes sideways. builds a tight range, and look at how tight it gets look at this thing, it breaks out and boom. this is like a seven star setup on a five star scale. memorize this this is the basic principle we're trying to like stocks move like stairs. right, you get a leg higher, sideways, leg higher, sideways you get another step higher, sideways, step higher sideways, so we are trying to identify the areas when the next step higher could be formed. you know tight areas we're looking for tight areas so we can get a tight stop so we can get a good risk reward. This is how stocks move. like this one is kind of a perfect one most are not perfect but this is the basic principle this is how stocks have moved in 100 years and there is no reason they should stop moving like this just because you're getting started in trading..."

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