can any one explain me lorentz transformations?

Question

can any one explain me lorentz transformations?

Answer 1

The Lorentz Transformation deals with motion of a mass relative to two or more observation frame of reference, as opposed to the Galliean transformation which dealt from an absolute observable frame of reference .

Einstein used it for his relativity theory and Dr Ricardo Carezni reduced it to a simplified form of tranformation which appear to be more realistic than Einsteins aplication.



Tranformations are use to convert a difficult set of equation into simplified ones. The most useful transformation has been the Laplace transformation.And has great applications even today.



It is hard to say if the Lorennz transformation really represented a realistic way of showing how a mass moves. It looks good on paper but Many physists have disagreed with it, and some have proved it erroneous.

Answer 2

If two laboratories are moving relative to each other with a velocity ‘v’any object which is rest in one laboratory will be viewed by the other as if moving with a velocity ‘v’



Therefore any object moving with some velocity will be different for the two which depends upon the velocity ‘v’



The equations describing the motions of bodies in the above two laboratories are called Galilean transformation equation.



The Galilean transformation equation derived with an assumption that

the fundamental quantities mass, length and time will not vary with the speed of motion of the laboratory.



Lorentz, assuming that in general the three may vary, derived the general transformation equation which can be reduced to Galilean transformation if it is proved that the three quantities are constant.



These transformation equations are called Lorentz transformation equations.

Now it has been found that the three quantities really depend on the velocity ‘v’.

Answer 3

Probably it's a good idea to understand rotations in two dimensions first. If you fix the origin, a rotation is just a transformation that preserves lengths of line segments. If the angle is theta, then the transformation from the old coordinate system (x,y) and the new system (x', y') is given by



x'= cos(theta) x -sin(theta) y

y'=sin(theta) x + cos(theta) y.



Now, in special relativity, if a point in space time has coordinates (t,x), what is preserved is c^2 t^2 -x^2 (rather than lengths of line segments). When this is done, the new coordinate system (t',x') turns out to represent the perspective of an observer that is moving relative to the original. When written in terms of velocity, the transformations are a bit complicated, but they can be reduced to



ct'=cosh(eta) ct -sinh(eta) x

x'=-sinh(eta) ct +cosh(eta) x



where hyperbolic trig functions are used rather than the usual ones.



If you take this perspective, many paradoxes of relativity become easier to understand. For example, the lengths x and x' of an object won't be the same for the two observers just as the x coordinates wouldn't be the same after a rotation.

Answer 4

back interior the '90s I did a series of placed up on a BBS about the theory of relativity. In that sequence I defined about FitzGerald and Lorentz and how Einstein used their formula in Relativity and also how they were derived from the Michelson-Morley experiemnt. it truly is a techniques to lengthy to placed right here and in incorporates an illustration, yet in case you'll deliver me your e-mail address, i will mail it to you. i imagine it may assist you. . .