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What makes an equation lorentz-covariant? When is an equation lorentz-invariant?
I'm not sure but I believe that an equation is Lorentz invariant if it has the same form in all inertial coordinate systems and that Lorentz covariant equation is one which is Lorentz invariant and that all the constants in the equation are Lorentz scalars.Ratzinger said:What makes an equation lorentz-covariant? When is an equation lorentz-invariant?
A function "f" is Lorentz invariant,if its spinor rank is 0, i.e. is a Lorentz/[itex] SL(2,\mathbb{C}) [/itex] scalar. Lorentz covariance is achived when putting in the same equation quantites which transform under [itex] O(1,3) [/itex] after a finite dimensional representations.Ratzinger said:What makes an equation lorentz-covariant? When is an equation lorentz-invariant?