/sci/ - Science & Math

>>12593005
>The proof is obvious from the axioms.

>>9816779
>I have seen people write F^2 for FmunuFmunu
Then they're wrong. F^2 is antisymmetric in the form indices while F*F is symmetric (with the Hodge dual), meaning that the Hodge pairing is only non-denegerate for F*F but not F^2. Learn differential topology before posting, retard.
>how is using that notation any worse than suppressing the Lie index?
Because it's wrong. Suppressing the Lie index is not the problem, the egregious misuse of proper mathematical notation is.
In addition, in Yang-Mills theories the gauge groups are taken to be compact and connected, but otherwise arbitrary. This means that writing in explicit Lie indices doesn't do jack shit for you since you don't even know what the basis for the Lie algebra is. Besides, in actual mathematical literature, which I'm sure you have never touched in your short undergrad life, the gauge group that the Yang-Mills theory studies is clear from context, and it is only strictly needed for physical interpretations.
>stop trying so hard
I'm trying very little, and it seems to be more than sufficient in sitting your stupid ass down and make change. Don't ever reply to me again until you've learned enough to not embarrass yourself, dumbass freshman.

>>9791267
Yeah that's what I thought, idiot.

>>9778352
>too pussy to quote me
This far ITT you've proven yourself to be
1. irredeemably stupid
2. incurably mentally unstable
3. incredibly deluded,
and you've just proven
4. unbelievably cowardly.
Anything more you'd like to share with the class?
>this deluded
No trolling here; everything I've said (which you haven't even attempted to address, not that you could) is completely 100% truth. You would've realized this if you had the least bit of humility to Google the jargon I wrote up. Vat you don't, since you're too deluded to even fact check the bullshit you write up. So deluded in fact that you think you can compare yourself to Einstein, even though he'd say the same thing I've said to you for confusing something as classical as kinematics vs stat mech.
>Quantum physics, blablabla.
>Teleportation of information.
>One object in two different places at the same time. Blah blah blah. XD
Literally no one said this. Stop fighting with the voices inside your head and take your meds, retard schizo.
>Everywhere a causal relationship.
Which is what quantum theory describes, albeit with a different ontology than classical physics. Of course, I wouldn't expect someone as completely braindead as you to understand this though.
Again, save your parents anymore grief and kill yourself, you waste of resources.

>>9774299
>a cusp means the function isn't continuous

@8766186
>doesn't know what an avatar means
>urbandictionary
>cringe response
>this desperate for (You)s