Maximum Non-Relativistic Speed

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The discussion centers on defining a typical maximum non-relativistic speed, suggesting that it varies based on the acceptable error in Newtonian calculations. A general cutoff is proposed at 0.14c, where time dilation becomes significant at about 1%. Examples include electrons in a metal wire, which travel at a few millimeters per second. The conversation also touches on the relativistic effects of electric fields generated by current. Overall, understanding the balance between non-relativistic and relativistic speeds is crucial in physics.
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What is a typical ("maximum") non-relativistic speed ?
 
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You mean, before the effects of relativity become significant? I guess it depends how much error you're willing to accept in the Newtonian calculation. If you give a specific example of a case where relativity's prediction about something would be different from the Newtonian prediction, someone can give you the amount the two predictions would be different as a function of speed.
 
With no additional information about the error tolerance or the exact application, I would would use .14c as a general cutoff. That gives you a 1% time dilation.
 
touqra said:
What is a typical ("maximum") non-relativistic speed ?
Electrons in a metal wire travel at a few mm/s...
Edit: ...and you know that magnetic field that current generate is due to a relativistic effect of electric field.
 
Well, I'm limited to 55 mph where I live, but I confess that I sometimes exceed that limit ... :wink:
 
belliott4488 said:
Well, I'm limited to 55 mph where I live, but I confess that I sometimes exceed that limit ... :wink:
So, be careful not to be electrically charged, or you have to say you are going at relativistic speeds :wink:
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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