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mahmit2012
 2 years ago
Hyperbolic functions and Theory of Relativity.
mahmit2012
 2 years ago
Hyperbolic functions and Theory of Relativity.

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mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2As some experiences from scientists the light has maximum speed about 3*10^8m/s even though if two lights move against to each other

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338767458787:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338767523339:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2no not collision but not different you can suppose that they strike together .

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2But important problem is that why the relativity speed not 2C and it is just C !!

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2Did you get it? compare lights with other movement.

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0That's where I'm puzzle ?!?

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2Einstein was a first to solve this problem with his theory is called Theory of Relativity

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0He's well known by it !

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2And he shows that light move in the own coordinate.

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768308222:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768367243:dw

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0Talk about rotation, I'm not a fan of rotation of axis :(

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2the rotation formula in above does not work for light!!!

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768505376:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768588960:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2I showed that two rotation of unique vectors (1,0) and (0,1)

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768774136:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338768856281:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2but light does not obey from this reality !!

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2do you know anything about hyperbolic function? Coshx SinhX

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769106783:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769145066:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769201119:dw

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0Honestly, the formula you showing here is what I've read from the book, that's all !!!

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2finally light rotation formula has hyperbolic functions instead trigonometric

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769358909:dw

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2it makes some new concepts for light you can never believe those but they are all correct

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0Because hyperbolic involving with omega element!

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2no because hyperbolic functions have no limited range like sinx ,cosx

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769575369:dw

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0That's new concept to my understanding =)

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1338769611999:dw

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0Yep, taking notes now!

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0Do you mind solving a problem about find the parabola rotation?

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0x²  3xy + 4y² +2x  y + 5 = 0

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0How do I eliminate the term xy to recognize its type of graph?

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2I have an own way for this problem. it is so easy and cover whole of them.

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0I'm trying to work on the axis rotation formula, but just half way :(

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0we can't rely on the coefficient of x² and y²?

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.1This is literally the most confusing thread I've ever read. The answer the initial question is that in relativity, velocities don't add like that. The relativistic velocity addition law is \[v_{rel} = \frac{v_1+v_2}{1+\frac{v_1 \cdot v_2}{c^2}} \] at small velocities, this is approximately \[v_{rel} \approx v_1 + v_2\] which is what we use in everyday life.

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2ok and if v1=v2=c then vr=(c+c)/2=c so I just want to show that why.

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2Ok.for prepare i am going to answer your last question.

Chlorophyll
 2 years ago
Best ResponseYou've already chosen the best response.0y' = x sinh (theta) + y cosh (theta)

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.1That conclusion seems to have been drawn COMPLETELY out of thin air. Your rationale appears to have something to do with spatial rotations and hyperbolic functions which by some wayward tangent could I suppose be related to Lorentz boosts and rotations and the addition of rapidity rather than classical velocity but it is only through the most indirect channels that I could draw that conclusion, and if I knew nothing of relativity this would be meaningless!

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.1I already know relativity. I'm just making the point that unless somebody was already well versed in relativity beyond the undergraduate level this would be completely meaningless, and even if they were this would only indirectly and momentarily flirt with coherence.

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2if you would like to know how the Laurence formula are made from hyperbolic functions go and watch a lecture in Stanford modern physic in youtube in this site: http://www.youtube.com/watch?v=BAurgxtOdxY

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0Like @Jemurray3, I am completely unsure where this thread is going and almost uncertain where it began. As such, Je has acquired the best answer from me.

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2It began just for a individual person as an introduction not an academic lecture so I offered to jemurray3 a site for that.

Jemurray3
 2 years ago
Best ResponseYou've already chosen the best response.1If somebody asked you to explain basic mechanics to them, would you start ranting about Lagrangians and chaotic dynamics in phase space, or would you talk about bouncing basketballs and blocks on inclines?

mahmit2012
 2 years ago
Best ResponseYou've already chosen the best response.2I found out this way for a person who know rotation is better.so if you have any suggestion I would like to hear from you.
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