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The week's question
In December 2024, in the thread "Re: BRK: Why Not XOM?", BreckHutHigh asked the members: "What about the long road trips with kids?" This week it is put to everyone again. The button below opens the small thread re-asking it - read what others have said so far, then give your own answer as an ordinary reply.
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Outskirts of Shrewd'm / Science, Technology, Engineering and Mathematics
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Author: onepoorguy 🐝  😊 😞
Number: of 311 
Subject: Re: Relativity Physics & Immortality
Date: 12/08/23 1:07 PM
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Cool article. Reminds me of a book I once read. Tau Zero. The "Tau" refers to the dilation coefficient in special relativity (also called "proper time"). I won't give the story away completely, but there was this spaceship that continued to accelerate almost to the speed of light, and was able to observe the universe evolve over billions (trillions?) of years within a few decades.

en.wikipedia.org - Proper time

If you look at the integral in the second box, the "1-v^2/c^2" is the dilation coefficient (actually the reciprocal coefficient). As v approaches c, you get 1-(almost)1. In time dilation, that gives you a value close to zero, which is in the denominator in the equation for time dilation:

en.wikipedia.org - Time dilation
(scroll down to the equation just about the "reciprocity" section to see it)

Which, mathematically, is why you can't go the speed of light. The math becomes undefined at that point.

Good book, I thought.
amazon.com - Tau Zero Poul Anderson
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