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InertialObservr's profile
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
〈 Berger | Dillon 〉
@InertialObservr

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〈 Berger | Dillon 〉

@InertialObservr

PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …

DC → CA
youtube.com/c/InertialObse…
Joined August 2015

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    1. Steve Trettel‏ @stevejtrettel Feb 18
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      A cubic surface, fibered by elliptic curves.pic.twitter.com/fbKhRYO9ef

      10 replies 127 retweets 601 likes
    2. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 18
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      Replying to @stevejtrettel

      Physicist here.. what does it mean to 'fiber' a curve?

      1 reply 0 retweets 16 likes
    3. Steve Trettel‏ @stevejtrettel Feb 18
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      Replying to @InertialObservr

      Here it’s like a fiber bundle (which is like a vector bundle but for more general types of spaces) except there can be some “singularities” or points where some of the spaces are bad. That happens three times in this example - when circles break off / recombine or collapse.

      2 replies 0 retweets 13 likes
    4. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 18
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      Replying to @stevejtrettel

      i see .. i still am not sure what a Fiber bundle is with 100% confidence .. wanna ELi5 for good measure (no pun intended)?

      2 replies 0 retweets 7 likes
    5. Steve Trettel‏ @stevejtrettel Feb 18
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      Replying to @InertialObservr

      For sure! Say you got a bunch (maybe...a bundle?) of sticks or wheat all tied together, and you want to describe to me. You could break the description into two pieces: 1) the shape of a piece of wheat, and 2) the shape of the cross section of your bundlepic.twitter.com/d46uiwuciM

      3 replies 1 retweet 22 likes
    6. Steve Trettel‏ @stevejtrettel Feb 18
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      Replying to @stevejtrettel @InertialObservr

      By telling me you've stacked a bunch of wheat together so the cross section looks like a disk, I could develop a sort of picture for what you are talking about (the bundle of wheat, a 3d thing) in terms of simpler data: a single fiber of wheat (1d) and the cross section (2d)

      2 replies 0 retweets 6 likes
    7. Steve Trettel‏ @stevejtrettel Feb 18
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      Replying to @stevejtrettel @InertialObservr

      A fiber bundle is a space that you can describe this way locally: that means you can chop it into pieces so that each piece looks just like a bundle of wheat: a bunch of parallel spaces stacked right next to one another. The spaces you're stacking together are called the fibers

      2 replies 0 retweets 6 likes
      〈 Berger | Dillon 〉‏ @InertialObservr Feb 18
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      Replying to @stevejtrettel

      ah that makes a lot of sense .. thanks so much

      5:51 PM - 18 Feb 2020
      • 2 Likes
      • Steve Trettel Joshua Silva
      1 reply 0 retweets 2 likes
        1. New conversation
        1. Joshua Silva‏ @silvascientist Feb 18
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          Replying to @InertialObservr @stevejtrettel

          But keep in mind that the surface shown above is not *exactly* a fiber bundle - iiuc it’s part of a more general concept called a fibration - w a fiber bundle all the fibers look the same...

          3 replies 0 retweets 4 likes
        2. 〈 Berger | Dillon 〉‏ @InertialObservr Feb 18
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          Replying to @silvascientist @stevejtrettel

          oh i see .. so the fibre bundle is like "continuous" but in a more general sense?

          3 replies 0 retweets 2 likes
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