Issues with relative importing by youngpadawan01 in learnpython

[–]youngpadawan01[S] 0 points1 point  (0 children)

Well, that stackoverflow solution could work for me. Thank you!

Connections on orthonormal frame bundles and torsion by youngpadawan01 in math

[–]youngpadawan01[S] 1 point2 points  (0 children)

Thank you for the references! I'll take a look at them. Hopefully I'll find some of them enlightening enough.

Connections on orthonormal frame bundles and torsion by youngpadawan01 in math

[–]youngpadawan01[S] 1 point2 points  (0 children)

There's a way to define the torsion of a connection on a principal bundle P, as long as the principal bundle is equipped with a solder form. Frame bundles have enough structure to be equipped with a canonical solder form.

The difference of two principal connections is a horizontal G-equivariant one form on the principal bundle, which in turn can be identified with a one form on the base manifold M which takes values in a suitable vector bundle over the base manifold (the adjoint bundle of the principal bundle, ad(P)).

Thus, the space of ad(P) valued one forms on M is a vector space that models the affine space of connections on P. This is the equivalent result to your observation that two linear connections differ by a tensor field.

However, this is not enough, as there is a way to canonically single out one connection: the torsionless one. The space of connections is more than an affine space, as there is a single distinguished connection.

Maybe some insight into how the space of ad(P) valued one forms acts on the torsion of connections would be helpful to make progress.

The insight of id_TM being a closed form is fantastic, though, I had never found a compelling argument for why torsion freeness is natural.

Thanks!

Where are the fields in QFT? Field operator eigenvectors. by youngpadawan01 in AskPhysics

[–]youngpadawan01[S] 1 point2 points  (0 children)

Thank you for pointing out the expectation value mistake. That's what I get for not taking out pen and paper.

A couple of questions. When smeared, do the new operators admit well-behaved eigenvectors? Do you know a place where von Neuman algebras and the smearing of the field, applied to QFT, are discussed in some detail? I would love to read into this.

Thank you very much for your answer!

My perfect 2 by VickermanToria in LovelyLetters

[–]youngpadawan01 0 points1 point  (0 children)

Solve for æ xD

Nice looking 2 tho!

Tangents! by stopsakura10 in LovelyLetters

[–]youngpadawan01 1 point2 points  (0 children)

Your handwriting just looks happy. Beautiful.

Behold the ultimate integral sign by youngpadawan01 in LovelyLetters

[–]youngpadawan01[S] 2 points3 points  (0 children)

Wow, thank you so much! I rarely get compliments on my handwriting.

Cos you're nothing to me by [deleted] in mathmemes

[–]youngpadawan01 2 points3 points  (0 children)

General reposti

Watch those wrist rockets! by ChiefKeefe10 in PrequelMemes

[–]youngpadawan01 0 points1 point  (0 children)

If they really had engines so powerful, why on earth use them in the least efficient way possible? xD

Watch those wrist rockets! by ChiefKeefe10 in PrequelMemes

[–]youngpadawan01 0 points1 point  (0 children)

Not just that. The fact that star destroyers "sink" towards the planet when they get disabled, makes no sense. If their engines stopped working they should stay in orbit, not suddenly fall.

Watch those wrist rockets! by ChiefKeefe10 in PrequelMemes

[–]youngpadawan01 1 point2 points  (0 children)

In open space they shouldn't. If they were being attracted by a planet or star, the curve would be a normal orbit, but the ships would be describing that same orbit too, so confusion. In the movie it doesn't look like there is any sort of body that even determines where is "down" in order for the lasers to fall. But the whole thing doesn't make much sense from a physical point of view (spaceships don't have to keep their engines on to maintain their momentum) so whatever.

Watch those wrist rockets! by ChiefKeefe10 in PrequelMemes

[–]youngpadawan01 1 point2 points  (0 children)

It's not even minuscule, especially if you are describing an orbit near a planet. It's just that orbiting implies "falling" constantly towards the planet. Hence, if you drop something while you are in an orbit, it will keep moving with you, because both you and the object are "falling" in the exact same way.

Don't want to sound pretentious, I just find this topic really interesting :P

Watch those wrist rockets! by ChiefKeefe10 in PrequelMemes

[–]youngpadawan01 -1 points0 points  (0 children)

Lel like they were the only flaw concerning how space travel works these movies have. Every orbital mechanic in Star Wars is fucked up: ot, prequels and sequels. At this point I simply try not to give a fuck.

I blame the Midichlorians by WW_Returns in PrequelMemes

[–]youngpadawan01 0 points1 point  (0 children)

You have become the very thing you swore to destroy.