I'm slowly trying to understand sp relativity. I admit I got lost in the last thread I posted . But thanks to all who replied!(adsbygoogle = window.adsbygoogle || []).push({});

I have a question about the Lorentz transformations formulas. This is more of a mathematical question about how the formulas are derived.

If you have the two formulas,

x'= γ( x- vt) and x= γ(x' + vt')

which represent the x components for two reference frames S and S', and where γ is the Lorentz factor,

and you combine them to solve for t:

x'= γ[γ(x' + vt') - vt]

how do you arrive at the formula

t= γ(t' + vx'/c^2) ?

I know that you simply solve for t from the other formula, but I really cannot figure out how. Sorry, I realize this is more of a math-related problem, but I'm wondering if anybody can give me some tips?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lorentz transformations formulas

**Physics Forums | Science Articles, Homework Help, Discussion**