[HN Gopher] Quaternion Quantum Mechanics [video]
___________________________________________________________________
Quaternion Quantum Mechanics [video]
Author : miej
Score : 40 points
Date : 2021-08-03 11:15 UTC (11 hours ago)
(HTM) web link (www.youtube.com)
(TXT) w3m dump (www.youtube.com)
| wwarner wrote:
| I think it's a cool idea, but it's one of many that start with a
| lattice model of space.
| miej wrote:
| haven't done the math, myself - are there significant problems
| with a lattice model of space?
| eurasiantiger wrote:
| It implies an _a priori_ background structure. Hilbert spaces
| are usually preferred, as the complex state of a wavefunction
| kind of implies that representation.
| miej wrote:
| so i think that's actually part of what I found notable
| about one of the posed hypotheses nearer the end of the
| video - the complex nature of the wavefunction essentially
| gets transformed into a 'more intuitive' lattice node
| space-like rotation within the Kleinert elastic crystal
| model. which, as someone who spent a short time 'getting
| used to' qm, seems very tempting.
|
| plus, dont Hilbert spaces assume they are infinitessimally
| detailed (ie: complete)? which seems like it could lead to
| potential collisions with set-theoretic geometry, eg
| possibly some potential for a physical manifestation of the
| banach-tarski paradox, which would clearly violate
| conservation laws
| bawana wrote:
| what other models start with a lattice assumption of space? I
| have been working on the math for a a model of space that is
| just a lattice, bosons are a vibration on the lattice, hadrons
| are twists on the lattice, gravity is stretching/compression of
| the lattice.
| wwarner wrote:
| Lee Smolin, Stephen Wolfram and, though I am not an expert,
| I'm pretty sure many more.
| leephillips wrote:
| Gerard 't Hooft has been working on something like that,
| too.
| adamnemecek wrote:
| Reasoning about space and time is just so much nicer in geometric
| algebra. There's a new cool community on geometric algebra
| https://bivector.net/
|
| The founder (Steven De Keninck aka enki) gave a talk at
| Siggraph2019 https://www.youtube.com/watch?v=tX4H_ctggYo
|
| You should join the discord https://discord.gg/vGY6pPk
| codewiz wrote:
| Scott Manley's explanation of the ISS accident also introduces
| quaternions as a coordinate system for objects in space that
| solves the gimbal lock problem and has other desirable algebraic
| properties:
|
| https://www.youtube.com/watch?v=dDBt9rZhMb4
| superjan wrote:
| I recall from quantum physics classes a long time ago that some
| elementary particles are not identical to themselves 360 degrees
| rotated. You need a 720 rotation for that. I recently learned
| that quaternions have that same property. Would there be a
| relation?
| miej wrote:
| yep, this exact thing is discussed in the later part of the
| video. it's used to hypothesize a qm interpretation where the
| complex components could actually be more physically
| interpretable as (quaternion-based) rotations of the kleinert
| crystal model
| superjan wrote:
| When was that then? I saw the spin animation, she did not
| refer to it then ... although I was baking cookies at the
| same time so I might have missed a remark here or there.
| miej wrote:
| vaguely a combination of 12:02-ish with 48:26-ish. my
| understanding was the general idea of the spin animation
| was proposed to be localized and manifest to some region of
| the kleinert crystal roughly corresponding to a given
| particle. so basically an internal torsion co-located with
| the phonon behavior that defines the paricle in that
| framework
| [deleted]
___________________________________________________________________
(page generated 2021-08-03 23:02 UTC)