Lorentz Transformations with Hyperbolic Geometry

[lightbulbs95]

Ur that guy that benches a 2 plates and u can do geometry. Boss

[TheNatureOfMonkey]

Algebra for morons. I want some visualisation of the invariance of hyperbolae

[xxjhones]

I like it , good

[DarthPickley]

wait how is this hyperbolic geometry? you are just using hyperbolic trig functions. You never even mention the hyperbolic plane.

[berserker098]

nice vid (well explained)

[murtadha12345678910]

can u calc how much ballhair my scrotum got ?

thank you , baawweee  sheeevvvffaaa

[matmania1]

I'm going to make a video about that. Thanks!

[thedoors360]

what planet are you from ?ARE YOU SUPERMAN ?

[justinklucko]

still homenbrewing that tren? Megadosing idoit.

[Derek78787878]

Someone's bitter.

[justinklucko]

why would you post this video? Anyone who took PHY I knows this (or in your case PHY 2130/2131 at WSU). You are a "pre-mathematics" major according to university records.

[troponinnutrition]

What about the people that haven't taken "PHY?"

This isn't presented in PHY 2130. I believe that is an Algebra-based physics course. This isn't presented in PHY 2170, the Calculus based physics course either. Special relativity isn't typically introduced in any detail until modern physics. The Lorentz transformations aren't typically shown in the hyperbolic trigonometric format in that course either.

[jonnosferatu]

You just cemented your place as my idol for all things besides med school.

[troponinnutrition]

Good luck in med school if you're going that route. I have a huge respect for what doctors go through to get that MD!

[xmlisnotaprotocol]

shit dude - you do much better math and weights than me!!!

Ive forgotten most of my physics degree but I seem to remember Lorentz Transformations in Riemannian geometry as a lead in to general relativity ...or not.

You demonstrate strength and intelligence are not mutually exclusive!

[Schwarzalbenheimen]

Thanks for the reply. I understand the derivations once you define sinh/cosh = v/c, and I understand the trig stuff. What I'm just wondering is why sinh / cosh is defined to be v / c.

[troponinnutrition]

The Lorentz transformations are really just hyperbolic rotations. They have properties commensurate with regular Euclidean rotations.

One invariance of Lorentz transformations is:

x^2-c^2t^2=x'^2-c^2t'^2. Hyperbolic trig has the identity that cosh^2-sinh^2=1 (as opposed to cos^2+sin^2=1)

The invariance of x^2-c^2t^2 follows from that identity. The key is that time and space are given the same units, with t replaced by ct. There is then a relation called "rapidity" that is defined by

[troponinnutrition]

hyperbolic angle = arctanh(v/c), or with rapidity as r,

v = c tanh(r/c)

[Schwarzalbenheimen]

How do you know that tanh = sinh/cosh = v/c? Is this just some property of 3D motion?

I understand from some googling that it arises from rapidity I guess, but I'm not up to speed on relativity (no pun intended, hah...). Is there a physical interpretation?

[Muvlonion]

why are there so many weightliftig videos in related vids?

[bio2020]

Because he's freakishly strong, too.

Ever seen the movie TWINS, starring Arnold Schwarznegger and Danny Devito?

This guy is the Arnold character.

[84cm84]

That squat was too high.

Ooops, wrong video.

[troponinnutrition]

haha!

[rolls324]

this may be the best comment i've ever seen on youtube... well done sir.... well done.

[ZyphonZest]

you're too awesome man

[Melatinini]

You are an ideal human being. Marry me?

[Gabe7g]

Well you have deffinately blown the big meathead with no brains stigma out of the water lol. Good Job!!

[RyanLVMetal88]

oh yeah....i get it....lol

[bigtonutz]

i see a log there!!!

[bigtonutz]

and e to the zero= 1 hehe

[DonnieDarko727]

Physics II material