Problem about postulate of the invariance of the speed of light

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externo said:
The question is: is space-time Minkowskian or euclidean ?

Answer from Minkowski:

Wikipedia said:
Minkowski argued that Lorentz's introduction of the contraction hypothesis "sounds rather fantastical", since it is not the product of resistance in the aether but a "gift from above". He said that this hypothesis is "completely equivalent with the new concept of space and time", though it becomes much more comprehensible in the framework of the new spacetime geometry.
Source:
https://en.wikipedia.org/wiki/Lorentz_ether_theory#Special_relativity
 
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The advantages or disadvantages of LET are off topic for this thread and further posts on its virtues or problems will be deleted. This thread is about the relativistic Doppler effect which can be analyzed using LET or not, as desired without arguing either for or against LET.
 
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