no seriously, what are fields?

Places for crops

>>8587562
u avin a giggle m8

>>8587559
A field is a ring with a multiplicative identity 1, in which every element [math]a \neq 0 [/math] has an inverse [math]a^{-1} [/math] such that [math]a a^{-1}= 1 [/math]

>>8587559
Study the math and study the physics, because, fucking surprise, to understand concepts that are described mathematically you need to know the fucking mathematics.

Now get the fuck out of my office.

>>8587565
Wow man your office is full of retards, that must suck

>>8587559
Functions of space time. We don't know why they exist rather than not, but it just turns out that apparently every point in space time has a number of "values" [math]\phi(t, x, y, z)[/math]. There now is supposedly an equation that determines all the values of all the fields that exist for all points in space time [math]f(\phi) = 0 [/math] that is arbitrarily complicated. We haven't found it yet, but we found that a lot of those fields don't really mix a lot and just do their own thing and found equations for parts of those fields. You can just put them together and you get the standard model.

Anyway, you may think that didn't help, but the truth is, there is not much more to understand conceptionally. Everything else you can learn about fields is what the field equations look like and mathematical tricks to deal with them.

No seriously what are waves? I have a hard time imagining them

>>8587626
i see them as like a medium that surrounds us at all times that has different gradients in magnitude and shit everywhere but we cant see it.

>>8587564
is 0 the additive identity in general

>>8587797
You can call it whatever you want, but by convention 0 is defined to be the additive identity.

>>8587564
Isn't it definition of division ring?

>>8587564
A commutative ring

>>8587559
A vector field is a section of the tangent bundle.

A (p,q) tensor field is a section of the tensor product of p-copies of the tanget bundle and q-copies of the cotangent bundle.

A spinor field is the section of a spinor bundle (a vector bundle whose fibers are spinor representations of the Clifford algebra of the tangent space)

>>8587626
Troughs and Peaks of enery, imagine if something has a range of 0 to 1 and moves back and forth within its range but the changes per time unit are tiny. So maybe it starts at 0 and progresses toward 1 but each change you graph are changes by 1/1000s of its unit. As you plot this out you'll see the wave form.

>>8587559

https://www.youtube.com/watch?v=KooPsEE7E-Q

>>8587626
A fuction [math]/psi[/math] satisfying [math]\square \psi = f[/math] for some f.

>>8587575
So... it's spacetime vibrating? Sounds like string theory a little bit

>>8588711
>Those tats
>Einstein was a fraud
Well that was distracting

>>8588711
>it sounds complicated, but it's divinely simplex
lost

>>8587559
Fields are just a general, mathematical way to describe the idea of "a property of a particular location, that can vary between different locations"

So, like, for the electrical field, an electrical charge placed at a particular location would experience a net force with a particular strength and direction due to the attraction and repulsion of every other charge, and so we can say for a particular arrangement of charges that this point in space has a specific vector associated with it that describes what will happen to a charge in that location. Any point we pick will have its own vector.

The set of all of these vectors for every point in space is what we refer to as the electric field.

Any parameter that varies with position can be represented as a field - temperature, pressure, wind speed - but some properties seem to have meaningful values even in seemingly completely empty space. If you put an electron in a vacuum, it will still be influenced by other charges. So fields like the electric field get considered to be more fundamental properties of the universe, a value that every point in spacetime just has.

>>8589242
No, in math a field is a commutative division ring.

>>8589244
I was talking about physics math, not real math.

>>8587564
You also need to assert that [math] 1 \ne 0 [/math], in addition to asserting that the ring is commutative.

>>8589244
he clearly means a vector field

>>8587833
This is the correct answer in physics, assuming those bundles are over the spacetime manifold.

>>8587559

Abstractions of force. Instead of considering each and every particle's gravitational, electric, and magnetic forces individually on a test particle somewhere; we sum up all the effects of the arrangement of particles as a net force field. Thus we can discard the 10^23 particles and look at only the resulting vector fields without thought to the arraignment that created them thus simplifying discussions and calculations.

Carriers of force. Particles distort the fabric of space creating a vector field which then carries the retarded force.

Creation of particles. Which are created by fields which are created by particles which are created by fields which are created by particles which are created by fields which are created by particles... shut up and give me money for bigger particle colliders!

>>8589257
no

>>8589282
>Particles distort the fabric of space creating a vector field

Only spin-1 particles correspond to vector fields.

>>8589242
I actually understood a lot of that. Thanks

>>8589257
"Noncommutative Fields" >>>> "Skew Fields" >>>>>>> ""division rings""

File: 14650165_875368982593929_1132975869134144461_n.jpg (40KB, 480x347px) Image search: [Google]

40KB, 480x347px

>>8589282
>arraignment
Are you having legal troubles, phoneposter?

>>8587559
fields are abstractions of force that are applied to certain particles

your pic on the other hand shows waveforms which are probabilities of where those particles are

>>8588979
https://youtu.be/RwdY7Eqyguo?t=14m35s

>>8587564
Actually in physics, a field refers to the section of a principal bundle on spacetime. The most important fields in physics are sections of the tangent bundle of spacetime and the principal G bundle with gauge group (fiber) SU(3)xSU(2)xU(1)

If you want to get fussy you can say that different types of fields are described by sections of bundles whose symmetry groups are different representations of the isometries of spacetime.

>>8587559
does this mean that eletromagnetic waves are comprised of orthogonally polarized electric and magnetic waves

>>8589488
>It's fields
Always suspected that. Just the word particle itself just sounds misleading

>>8587570
Welcome in the real world.

>>8590863
no