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preet0283
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can ne 1 explain 2 me the basics of lorentz transformations...mathematically i know how things transform bt i want a more revealing explanation ...relate it 2 boosts and rotations also ...
thanx
thanx
selfAdjoint said:Lorentz transformations are linear transofrmations of the Minkowski coordinates that mix space and time. They are orthogonal transformations such that [tex]\Lambda \Lambda^T = \mathbf I[/tex]. And their determinants are +1, so they preserve the Minkowsi unit [tex]-c^2t^2 + x^2 + y^2 + z^2[/tex]. They do not form a group because the product of two of them can involve a spatial rotation; so you have to adjoin the space rotation group SO(3) to get the Poincare group SO(1,3). These are then all the special orthogonal transformations on Minkowski spacetime.
preet0283 said:can ne 1 explain 2 me the basics of lorentz transformations...mathematically i know how things transform bt i want a more revealing explanation ...relate it 2 boosts and rotations also ...
thanx
Lorentz transformations are a set of equations used in physics to describe the relationship between space and time in different reference frames, specifically in the theory of special relativity.
Lorentz transformations are important because they allow us to understand how space and time behave at high speeds, and they are a fundamental part of the theory of special relativity, which has been verified by numerous experiments.
Lorentz transformations differ from Galilean transformations in that they take into account the constant speed of light and the relativity of simultaneity, while Galilean transformations only consider relative velocities and absolute time.
Lorentz transformations affect measurements of time and distance by causing them to be relative to the observer's reference frame. This means that measurements of time and distance can appear different to different observers depending on their relative motion.
Yes, Lorentz transformations can be applied to macroscopic objects. However, the effects of these transformations are only noticeable at speeds approaching the speed of light. At everyday speeds, the differences are too small to be measured.