I Derive Lorentz Transformation by Visualizing Space-Time Coordinates

Click For Summary
The discussion focuses on deriving the Lorentz transformation through a visual approach to space-time coordinates, emphasizing the intuitive understanding of the transformations without heavy reliance on complex mathematics. The participants explore how to transition between different inertial frames, particularly from observer A to observer B, while maintaining the principle of relativity and the invariance of the speed of light. They highlight the importance of the factor gamma (γ), which accounts for time dilation and length contraction, and suggest that deriving this factor could involve ensuring that transformations are consistent when composing multiple frames. The conversation also touches on the necessity of visual aids to better grasp the concepts and the mathematical underpinnings of the transformations. Overall, the approach is seen as promising, though it requires clarity in the mathematical formulation and the composition of transformations.
  • #31
PeroK said:
It's simply unnecessary to assume FTL. Especially since these FTL frames are disallowed by the Lorentz transformations that have been deduced. Try here, for example:

https://en.wikipedia.org/wiki/Rapidity

I read somewhere that Lorentz transformations actually disallow matter being accelerated to FTL. Particles which are already moving FTL can still be hypothesized. Here are some related links:

https://physics.stackexchange.com/q...-it-has-always-been-travelling-faster-t/55871

https://en.m.wikipedia.org/wiki/Faster-than-light

It is stated that these particles would cause causality problems, but that wouldn't be the first time the universe defied our everyday logic.
 

Similar threads

I Are the Lorentz Transformations False?
  • · Replies 54 ·
2
Replies
54
Views
4K
I Deriving Lorentz Transformations Using Calculus
  • · Replies 18 ·
Replies
18
Views
2K
I Question about full Lorentz transformation
  • · Replies 101 ·
4
Replies
101
Views
7K
I Can we choose different functional forms for Lorentz transformation?
  • · Replies 10 ·
Replies
10
Views
1K
I A Hidden Zero in Einstein's Simple Derivation
  • · Replies 22 ·
Replies
22
Views
2K
B Understanding Lorentz Transformations in Special Relativity
  • · Replies 24 ·
Replies
24
Views
3K
B Special Relativity & Lorentz Transformation Q: Clock C2 Reading?
  • · Replies 12 ·
Replies
12
Views
2K
A Show Lagrangian is invariant under a Lorentz transformation without using generators
  • · Replies 3 ·
Replies
3
Views
1K
I Deriving Lorentz Transformations: Hyperbolic Functions
  • · Replies 33 ·
2
Replies
33
Views
3K
B Deriving Lorentz Transformations with 3 Postulates
  • · Replies 20 ·
Replies
20
Views
2K