why do magnetic fields make patterns like pic related?
>inb4 "muh hurr durr math equations says so!"
>>7859684
syense and math :DD
magnetronical forces
>>7859684
Because there's two poles, and you see all the lines because the magnetic current or whatever it's called is going through those iron filings like electricity flowing through a metal rod.
>source: high school diploma
>>7859684
https://www.youtube.com/watch?v=36GT2zI8lVA
Here's the answer you're looking for, although you might not have realized it.
because
[math]\nabla \dot \vec{B}=0[/math]
>>7859721
oops
[math]\nabla \cdot \vec{B}=0[/math]
>>7859723
\_( *∇*)_/
>>7859726
\,,/(◣_◢)\,,/
>>7859684
because thats just the way it is
>>7859684
>how do magnets work
>everyone takes the bait
But it's precisely because math shows this.
Math is just logic, but it needs a special format because real world is too complex to be described by words.
>>7859684
math equations say so!
So the magnetic field is toroidal and those lines are a slice of it?
That's like my favorite Metallica album
Look up the Ising Model
>>7860073
Yup
>>7859723
So why does this result show that the magnetic field is toroidal?
Or some other result? What type of mathematical results describe the geometry of the magnetic field?
>>7860073
Yes this is the reason. The torus is a vortex. It has a self-resonant structure, the entire vortex can be easily destroyed affecting only one part of it, the surface of the water for instance. It connects an inner singularity and the outer shape. Microcosm linked to macrocosm. Allows the bunch of space in between to have a ton of scale from a self-contained reference point, considering just how peculiarly small the dynamo can be. I guess it's just a simple 3D geometry that is easily constructed for some reason. Maybe it's because everything's made of the damned things on the atomic level that we have a fractal reproduction of it on higher scales.
>>7859684
It's the FM principal.
It's fuckin magic.
Gaps in the crystal structure of the magnetic alloy allow electrons to be ejected and retracted in a large parabola... in other words boroning
>>7859723
so you're telling me
a fucking dorito multiplied by magnetic flux density creates the pattern of magnetic fields like op's pic
>>7860505
What that means is that the total magnetic flux emanating from a volume of space is always equal to zero.
This is because (so far) all known sources of magnetic fields have a 'north' pole, from which the field lines emerge, and a 'south' pole into which they return - there's no such thing (yet detected) as a magnetic monopole.
Therefore, all the field lines going into a region of space are balanced by lines coming out of it.
Contrast this to electric charges, which can exist as lone positive or negative charges.
The Dorito sign is called the Del operator, which is like a gradient function for 3D vectors.
So why are monopoles impossibru /sci /?
>>7860495
and still not many people know.
>>7860522
arigato gozaimasu
>>7860555
They aren't. We have just never detected one.
>>7860568
until LIGO ;)
>>7860073
Can someone please expand on why magnetic fields are toroidal?
>>7860583
toroids are monopoles
>>7859684
https://www.youtube.com/watch?v=OvmvxAcT_Yc
>>7859684
that's a question for god
>>7859906
>Math is just logic
Wrong. Logic is only one of many fields of math.
>>7860064
But they are not the cause, they just describe how, not why
>>7862520
logic is not a field of math. math is applied logic
>>7863850
Gödel disproved this bullshit 100 years ago. Go educate yourself.
>>7860583
Please expand, /sci/
>>7860583
EE here.
1. Magnetic fields are created by electrical current. Imagine a cable, the shape of the magnetic field is a circunference around that cable.
2. A magnet is analogous to an electric circuit or a cable ring if you prefer, so if you draw that circunference around that ring you get a toroid.
>>7864546
>EE here
now I know you lied about your response
>>7864547
If you got a better explanaition write it.
hard mode, no magic
>>7863850
Math includes EVERYTHING mathematicians research, including logic. Just because math uses logic does not mean that logic is not a part of math. It is just the most foundational area. At least, that's how both I and most others understand the language. Arguing about it is really pointless since it's quite literally just semantics what you consider math, logic, or philosophy when you get to the foundations level.
>>7859730
Things'll never be the same!!!
>>7860505
gee thanks asshole, now I'll forever remember del as dorito
>>7859723
That's not "why" the shape is that way.
That equation comes from the fact that we observe the shape is toroidal.
>>7864449
no he didn't
>>7860242
Helpful
>>7866674
not >>7860242
but everyone called me delusional for suggesting vortex math to map a perfect torus using the fibonacci sequence and if I'm not wrong, also suggesting a turing complete base 9 system.
it gets philosophical real fast, but isn't it inevitable when talking about the most fundamental particles of our universe?
>>7865704
Dude, please learn about formal logic.
>>7866681
>everyone called me delusional for suggesting vortex math to map a perfect torus
Please go on and map a perfect torus using vortex math, or refer to someone's work on the subject.
I want to see how "vortex math" is used rigorously.
>>7866883
why dont you do it like all the know-it-alls here and google it first?
randy powell is the name
>>7860178
>Metallica
a true pleb.
>>7866738
>implying
you should take your own advice, bro
Becouse there are time varying electrical charge density inside the magnet. Electric field changes at the speed of light in every coordinate. We call the relativistic effect magnetism.
all linguistic problems, here.
>>7863847
they also describe why, retard
>>7868583
You are the one who got it wrong.
>>7869831
got what wrong? your mental competency to learn about formal logic? sorry, i've seen retarded shit posted here all the time, but had no idea that actual downs syndrome patients were allowed on this board
>>7870805
Keep projecting, philosocuck. You know nothing about formal logic. You're not a mathematician and never will be.
>>7871565
>deflection
>projection
thank you for that (admittedly emotional) admission of defeat. gödel will no longer spin in his grave. your shitposts will serve as a signature on a declaration for upping the dose of your down's syndrome medication. now please get off the science and math board to save yourself from any further embarrassment.
>>7859723
Ayy calc 3 coming back to me
