/sci/ - Science & Math

>replying to furfags
>any year

Post your best /sci/ OC.
Cross boarders posting non-/sci/ence memes need not apply.

A certain tournament is starting in a few weeks. Please suggest candidate memes that would be good to represent the board for this Summer's Elite Cup, which starts on the 28th, as such the management is taking suggestions for the team. Including those for new players, new chants, medal changes, and new songs (if any) before the official roster poll goes up. This past winter /sci/ placed 5th out of 32 teams, the best result we've had, and we're hoping for the team's success to continue.

/sci/'s existing lineup and roster can be found here:
https://implyingrigged.info/wiki//sci/#Lineup
Info about this Summer's tournament is here:
https://implyingrigged.info/wiki/2023_4chan_Summer_Cup

>>15187034
Now it starts to get muddy. This one I saved recently, and I don't think is from Yuyukaw
After that I have non-touhou ones on physics which may very well be from him, ans non-touhou one on mathematics that feel derivative to me. I'll post them later, I'm tired of getting filtered by captchas now

>>15121082

>>15117564
yes, but this board mostly shitposts about them, pic rel

>>12753936
This one?

>>11510422
>prove some technical lemma
>random guy on overflow goes "this was actually proven in Bourbaki Vol. 53 Sec. 24 Lem. 33.3452"
>mfw

>>10780399
No.

>>10521533
Kontsevich, Manolescu, Witten, Freed, etc.
Fuck Grothendieck
>>10521629
Weyl is a physicist.

>>10240845
Atiyah is entirely right though

>>10139495
based yukari poster has good memes

There are much more severe criticisms of string theory than just its dubious physical predictions.
Let me just preface this by saying that I'm currently doing a PhD in mathematical physics (TQFT) with background in condensed matter, which has as much (if not more, due to the exotic topologies afforded by the presence of quasiparticles and defects) mathematical richness than high-energy physics. See Volovik's The Universe in a Helium Droplet. Both fields develop their models based on the mechanism of symmetry breaking.
However there is an important difference between the two fields.
The degrees of freedom in high-energy physics rely on force carriers, namely gauge bosons, to mediate interactions. Since a phenomenological theory isn't always possible, these theories usually start from the gauge theory itself, and then try to massage the Lagrangian into a physically transparent form (viz. Cabibo matrix). This is why the standard model Lagrangian can be written simply as [math]\mathcal{L} = \frac{1}{2}\overline{\psi}D\psi - \frac{1}{4g^2}\operatorname{tr}F\wedge \ast F[/math] on a [math]G = U(1)\times SU(2)\times SU(3)[/math]-principal bundle, while it takes a disgustingly long and ugly form when written out in terms of its physical content. Theories in condensed matter is another story; here phenomenological description of interactions IS possible, and this restricts possible interaction terms appearing in the Ginzburg-Landau field theory. What this means is that, even with mean-field approximation, not every interaction can be expressed in terms of gauge fields: they in general need not be spanned by the Lie algebra of some compact Lie group [math]G[/math], or even a Clifford algebra. These theories need not have nice mathematical structures and the theory of principal gauge bundles is the wrong perspective (viz. tt*-Hodge theory).
This means that reality is [math]not[/math] as mathematical as people like Max Tegmark would like to think.

>>9593810

>>9549126
>Geothendieck
So sick of this meme. Etale orbifolds can be topologized without reference to topos.

>>9480918
It was only the third time I posted that though.

>>9471876
Trivial and left as an exercise.