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Physicsissuef
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Why the Galileo transformations are not correct for inertial systems which are traveling close to the speed of light? What made Lorentz to correct this?
No, and that is not how Einstein derived them either. Those can be derived from relativity, but they weren't conditions that were imposed to arrive at lorentz transformations. (I do not believe there even was any experimental evidence of time dilation for Lorentz or Einstein to use at the time.)bernhard.rothenstein said:because they are not able to account for relativistic effects like time dilation and length contraction. Lorentz extended them imposing the condition that they should account for them.
The correction came from looking at electromagnetism. Luckily this was already written in its correct form before special relativity was "discovered". Unlike all the other empirical laws of the time, electromagnetism did not look the same in another frame if you applied a Galilean transformation. This confused many people.Physicsissuef said:Why the Galileo transformations are not correct for inertial systems which are traveling close to the speed of light? What made Lorentz to correct this?
JustinLevy said:No, and that is not how Einstein derived them either. Those can be derived from relativity, but they weren't conditions that were imposed to arrive at lorentz transformations. (I do not believe there even was any experimental evidence of time dilation for Lorentz or Einstein to use at the time.)
Thank you for your oppinion. Since Einstein presented his derivation of the transformation equations, history of physics has registered many derivations of them, imposing the condition that they account for time dilation and length contraction. Arxiv presents many derivations of them. The formulas which account for time dilation and length contraction could be derived without using the Lorentz-Einstein transformations. The author of the thread did not mention Einstein's name. I think he could find out something updated from the way in which I answered his question.
With respect for your oppinion.
Mentz114 said:I agree with Justin Levy. Einstein realized that Gallilean transformations did not work with electromagnetisn as described by Maxwell's equations. Most people were surprised by the subsequent predictions of length contraction and time dilation.
The Galileo transformations, also known as the Galilean transformations, were developed by Galileo Galilei in the 17th century to describe the motion of objects in classical mechanics. However, these transformations assume a fixed and absolute reference frame, which is not consistent with the principles of special relativity. Inertial systems, which are systems in which the laws of motion hold true, do not have a fixed and absolute reference frame. Therefore, the Galileo transformations are not correct for describing the motion of objects in inertial systems.
No, the Galileo transformations are only applicable in non-relativistic situations, where speeds are much smaller than the speed of light. In special relativity, the laws of physics are the same in all inertial frames, but the Galileo transformations do not account for the effects of time dilation and length contraction at high speeds. Therefore, they cannot be used to accurately describe the motion of objects in all reference frames.
The Galileo transformations and the Lorentz transformations are two different sets of equations used to transform measurements between reference frames in special relativity. While the Galileo transformations assume a fixed and absolute reference frame, the Lorentz transformations take into account the effects of time dilation and length contraction at high speeds. The Lorentz transformations are the correct equations for describing the motion of objects in inertial systems.
Yes, the Galileo transformations can still be used to accurately describe the motion of objects in non-relativistic situations, where speeds are much smaller than the speed of light. For example, they can be used to analyze the motion of objects on Earth or in low-speed experiments in a laboratory setting.
The discovery of special relativity revolutionized our understanding of space and time, and it rendered the Galileo transformations obsolete in the context of describing the motion of objects in inertial systems. The Lorentz transformations, which take into account the effects of time dilation and length contraction, are now the accepted equations for describing the motion of objects in all reference frames. However, the Galileo transformations are still useful in non-relativistic situations, as long as the effects of special relativity can be neglected.