Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integration of Lorentz Factor

  1. Dec 14, 2015 #1
    Just for my own entertainment I integrated the Lorentz factor with respect to velocity, using basic trig sub, I got the equation arcsin(v/c)*(mc^2). What does this mean? Is it just useless and irrelevant in the physics world or does it have some sort of hidden meaning?
  2. jcsd
  3. Dec 15, 2015 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member
    2017 Award

    I do not know where you got the mass from, there is no mass in the gamma factor nor in the velocity. Regardless, it does not a priori have any physical meaning to integrate the gamma factor wrt velocity.
  4. Dec 15, 2015 #3


    User Avatar
    Science Advisor

    Not sure what you mean by the Lorentz factor here. If I'm not mistaken you have integrated ##\int_0^v \gamma (v')mcdv'##. I'm not quite sure why you would want to do this.

    Hyperbolic functions do turn up quite frequently when integrating velocities and the like in Special Relativity, which is a consequence of the structure of Minkowski space time. You might like to look up "rapidity".
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook