Using homogeneity of space, isotropy of space and the principle of relativity (without the constancy of light speed), one can derive: $$x' = \frac{x-vt}{\sqrt{1+\kappa v^2}}$$ $$t' = \frac{t+\kappa vx}{\sqrt{1+\kappa v^2}}$$ $\kappa = 0$ denotes Galilean and $\kappa < 0$ denotes Lorentz Transform...

I just studied Heisenberg uncertainty principle in school and i came up with an interesting problem... Assume an electron which is moving very slowly and we observe it with an distance uncertainty of say $\Delta x=1.10^{-13} m$ if we try finding uncertainty of velocity using the formula $$\Delt...