Naked Science Forum

Non Life Sciences => Geek Speak => Topic started by: Sally Le Page on 08/11/2021 15:37:07

Title: Are the Lorentz transform curve and inverse square law curve the same?
Post by: Sally Le Page on 08/11/2021 15:37:07
Michael wrote in to ask:

"Is the Lorentz transform curve the same as the inverse square law curve, mathematically speaking."

What do you think?
Title: Re: Are the Lorentz transform curve and inverse square law curve the same?
Post by: Origin on 08/11/2021 15:56:15
They are completely different concepts.
The r-squared law tells how the intensity of a radiating point source decreases with distance.
The Lorentz transforms relate the coordinates of one frame of reference to the coordinates of another frame of reference.
Title: Re: Are the Lorentz transform curve and inverse square law curve the same?
Post by: Eternal Student on 08/11/2021 23:37:52
Hi.

   What is a "Lorentz transform curve"?

I know what a Lorentz transformation is and Origin has already done a good reply for this.

It seems that  Michael is trying to plot some curve.... so they are seeking one (real-valued) imput to go along the x-axis and one output to go along the y-axis.   (That would be my guess, anyway).   The Lorentz transformations don't describe a simple function of one variable like that.  Even if you're only considering one spatial direction,   there are still two inputs  ( x and t)   with  two outputs   (x' and t').

This is in the geek section, which is more or less the computer science and IT section, so should we guess that there is a well known computer science algorithm  or   curve  y = f(x)   that they call the  Lorentz transform curve?   I can't find any such thing on a Google search.
    If I had to guess then I would think that Michael was plotting the    gamma factor   versus   velocity.

Best Wishes.