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Comment by thamer

It took a few tries, but I got Wolfram Alpha to compute its velocity compared to the speed of light[1].

I started with:

    sqrt(1-((1/(1+120 PeV / (neutrino mass * c^2)))^2))
but it simply said "data not available". So I changed:

    120 PeV to 120e15 * 1.602176634e-19 kg m^2 s^-2
    neutrino mass to 1.25e-37kg
    speed of light to 299792458 m/s
and finally it gave a numeric result:

    0.999999999999999999999999999999999999829277971
(that's 36 nines in a row). Pasting it in Google says the value is "1", which is… not far off.

If you want details about the way this is calculated, I dug up the formula from an article I'd written about particle velocities in the LHC, back in 2008[2]. For comparison, their 7 TeV protons were going at 0.999999991 × c.

[1] https://www.wolframalpha.com/input?i=sqrt%281-%28%281%2F%281...

[2] https://log.kv.io/post/2008/09/12/lhc-how-fast-do-these-prot...

parent thamer 1 year ago

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