Thread #16920373
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What is gauge theory.

If you can't explain it simply, then you don't understand it.
+Showing all 22 replies.
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>>16920373
What do you mean by "simply"
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>>16920373
>dude, invariance
nice hat, though
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>>16920373
Try asking an AI
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>>16920373
Check out wikipedia and ask AI to summarize it for you and then another AI to summarize the summary if you still struggle.
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>>16920381
He means using simple language that anyone can understand.
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>>16920373
Theory of how forces work.
>inb4 gravity
see tetradic Palatini action
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>>16920373
>If you can't explain it simply, then you don't understand it.
False and gay. Like most things in maths/physics, you can't understand it if you can't do the maths. If you can do the maths, you're already close to understanding it and won't need 4chan's help.

If you just want to feel like you "understand" it then ask AI.
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>>16920373
symmetry
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Ask AI
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>>16920373
You pinch the reservoir tip and roll the base down
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>>16920373
imaginary sombreros
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>>16920373
a theory about gauges
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>>16920500
>>16920535
>>16920393
>>16920408
HOLY SHIT NIGGERS FUCKING KILL YOURSELVES
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>>16920658
The absolute fucking state of this board. You do realize that literally no one worth their salt cares about your retarded hallucination slop machines, right? Just because they give you endless compliments and validate your bullshit doesn't mean this board should be filled to the brim with AI slop by idiots like you and advertisements for said slop.

It's called "AI slop" for a reason.
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>>16920663
Which is why OP is mocked and told to fuck off.
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>>16920373
Is this the physics of a mexican hat?
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>>16920373
pic related seems to be foundry drawings about the chinese bullion|tael.
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>>16920373
Ask grok, saar
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>>16920664
this, also sorry I have to spoonfeed the fucking idiot OP for one second

OP is fucking retarded and doesn't understand people are telling him to "ask AI" because it's a /sci/ culture way of saying "you're fucking retarded please kill yourself"

TL;DR, sorry OP, maybe you should also ask the AI why everyone is telling you to just ask AI you fucking clown
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>>16920393
>>16920535
The hat is a sombrero.
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well, gauge theory starts with an observable, in this case the norm of the wave function, psi* psi (psi wavefunction, * Hermitian transpose).

This expression, which is a function of space and time, is a probability density, more precisely the probability that a particle will be at a certain position at a certain time.

Now this expression (psi* psi) has a natural symmetry, namely it is preserved when psi is replaced by U psi, where U*=U^(-1) is a unitary operator. This symmetry is called a global symmetry. U does not depend on space or time.

Gauge theory is essentially the effort to extend this global symmetry to operators U which DO depend on space and time. This is then called a local symmetry. This requires replacing derivatives with modified versions of them, similar to how the acceleration (time derivative of the velocity) of a particle gains additional terms (fictitious forces) in a rotating frame.

In these modified derivatives, there are fields involved, the so-called gauge fields. Although one may think they are somewhat an arbitrary construct, it turns out that these are actually quite interesting by themselves. Indeed, one of the simplest gauge theories, when psi is a complex scalar function, corresponds exactly to electrodynamics and reproduces Maxwell's equations. neat!

Different from Maxwell's equations, which were found well before anyone thought of gauge theories in the modern sense, afaik all higher order gauge theories (when psi is a n-dimensional complex vector), were found basically by exploring the corresponding gauge symmetries (invariance under these modified derivatives).

In short, gauge theory is a tool to derive physical theories from generalizations (global to local) of the natural symmetry of the quantum wave function.
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>>16922548
Hey retard, there's a built-in TeX editor. Use that instead of flooding the thread with unformatted garbage, dyke.
>>16921813
>muh ai
kys
>>16921778
>muh ai
kys

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