Looking back at the previous posts, we can see that if we begin with the relativity of the *spatial* component of movement, the Lorentz transformation turns out one way:

*r´* = *γ* (*r – vt*) and its inverse *r* = *γ* (*r´ + vt´*)

along with a standard (characteristic) speed, *c*, in all reference frames: *r = ct* and *r´ = ct´* leads to

*γ²* = 1 / (1 – *v²/c²*).

By substituting the expression for *r´ *and simplifying we get

*t´* = *γ* (*t – rv/c²*) and its inverse *t* = *γ* (*t´ + r´v/c²*).

But if we begin with the relativity of the *temporal* component of movement, the Lorentz transformation turns out another way:

*t´* = *γ* (*t – r/v*) and its inverse *t* = *γ* (*t´ + r´/v*)

along with a standard speed, *c*, in all reference frames: *t = r/c* and *t´ = r´/c* leads to

*γ²* = 1 / (1 – *c²/v²*).

By substituting the expression for *t´ *and simplifying we get

*r´* = *γ* (*r – tc²/v*) and its inverse *r* = *γ* (*r´ + t´c²/v*).

So *γ* depends on *v/c* if space is relative, and *γ* depends on *c/v* if time is relative. But that also means *v < c* if space is relative and *v > c* if time is relative. Plus the converse: space is relative is *v < c* and time is relative if *v > c*.

But in fact space can be relative whether or not *v < c* and time can be relative whether or not *v > c*. So there is something artificially limiting about the Lorentz transformation.