Determination of Lorentz transform from euclid geometry

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SUMMARY

The discussion centers on the determination of Lorentz transformations using elementary geometry and the implications of light travel time on observed positions of moving bodies. Participants emphasize that Lorentz transformations are not merely geometric but involve physical principles, particularly in Minkowski space. The conversation highlights the necessity of understanding how light travel time affects the perceived positions of points A and B on a moving object, ultimately leading to the conclusion that Lorentz transformations preserve the Lorentz interval, ensuring consistency in observations across different frames of reference.

PREREQUISITES
  • Understanding of Lorentz transformations in special relativity
  • Familiarity with Minkowski space and hyperbolic geometry
  • Knowledge of light travel time and its implications in physics
  • Basic principles of Euclidean geometry and coordinate transformations
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  • Study the derivation of Lorentz transformations from Minkowski space principles
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  • Explore the implications of the Terrill effect in visualizing moving objects
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USEFUL FOR

Physicists, students of relativity, and anyone interested in the mathematical foundations of Lorentz transformations and their applications in understanding motion and observation in physics.

  • #31
atto said:
I have seen such rotated images, but I don't know how these was calculated, because it's rather impossible.
If you don't know then isn't it a little premature to claim the impossibility? After all, it isn't a violation of the laws of physics, just a strange optical phenomenon in the midst of many strange phenomena.
 
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  • #32
DaleSpam said:
If you don't know then isn't it a little premature to claim the impossibility? After all, it isn't a violation of the laws of physics, just a strange optical phenomenon in the midst of many strange phenomena.

I can quickly check it out.
Sufficient to calculate the eight moving points - two squares one after another.

The equation is the same, but with two distances: one h, and a second h+a.

http://www.math.ubc.ca/~cass/courses/m309-01a/cook/terrell1.html

It looks incorrectly - rather impossible.

There unnecessarily complicate the matter by analyzing the moving observer.
It is much easier to calculate for the stationary one.

Then would be no problem with an aberration of light,
which there is probably not considered at all, and perhaps for this reason such unrealistic results.
 
Last edited:

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