It's unfortunate that this system does not allow mathematical notation, so these have to be at least partly spelled out. Some definitions: t0 refers to time interval as measured in an inertial frame t refers to the relative non-inertial time measurement m0 and m for mass, and L0 and L for length (along the direction of travel) follow the same pattern t = t0/the square root of [1-(v/c)2] m = m0/the square root of [1-(v/c)2] L = L0{the square root of [1-(v/c)2]} The lorentz transformations, by definition, compare the relationship between non-inertial frames and their designated inertial reference frames.
Earth is considered a noninertial frame of reference due to its rotation and orbital motion. Inertial frames are frames of reference where Newton's laws of motion hold true without the influence of external forces, which is not the case for Earth.
One way to show that the spacetime interval is invariant under Lorentz transformations is by using the Lorentz transformation equations to calculate the interval in one frame of reference, and then transforming to another frame of reference using the same equations. If the interval remains the same in both frames, it demonstrates that the spacetime interval is invariant under Lorentz transformations.
Pare Lorentz's birth name is Leonard McTaggart Lorentz.
Lorentz Thyholt was born in 1870.
Lorentz Thyholt died in 1931.
Lorentz Lange died in 1860.
Lorentz Lange was born in 1783.
Lorentz Reitan was born in 1946.
Lorentz Reige was born in 1990.
Lorentz Eichstadt died in 1660.
Lorentz Eichstadt was born in 1596.
Stanisław Lorentz died in 1991.