I Integrate time dilation with derivative

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Integrating time dilation with derivatives requires a clear understanding of the specific problem being analyzed. The time dilation formula is a limited case of the broader Lorentz transformations, which may be more beneficial for complex scenarios. Abandoning the time dilation formula in favor of Lorentz transformations is often recommended for better applicability. Providing additional context about the intended application will yield more precise guidance. Clarifying the problem will enhance the quality of responses received.
Franyer
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I need to integrate time dilation with derivative, how could I do that?
 
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Franyer said:
I need to integrate time dilation with derivative, how could I do that?
Without knowing the problem you're trying to analyze it's hard to answer with any certainty... But the chances are very good that you will be better off abandoning the time dilation formula and working with the more general Lorentz transformations.
The time dilation formula is a special case of the Lorentz transformations, and applicable only under very limited circumstances.

But tell us more about what you're trying to do and you'll get better and more helpful answer.
 

Thread 'The Einstein Clock aka Light Clock'

Hello, everyone, hope someone will resolve my doubts. I have posted here some two years ago asking for an explanation of the Lorentz transforms derivation found in the Einstein 1905 paper. The answer I got seemed quite satisfactory. Two years after I revisit this derivation and this is what I see. In the Einstein original paper, the Lorentz transforms derivation included as a premise that light is always propagated along the direction perpendicular to the line of motion when viewed from the...
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