excellent at least we can agree that the test using absolute zero is necessary to grant the equation equivalancy.I just told you that the zero produced by that equation, $$\gamma \,-\, \frac{1}{1 \,-\, v^{2}/c^{2}} \,=\, 0$$, is not arbitrary or relative. That is why we can test it (assuming you are thinking of $$\gamma$$ as a physically measurable quantity such as the time dilation factor, since that equation is usually taken as the definition of $$\gamma$$).
In general, every general equation in relativity, and every other theory in physics for that matter, states something that is absolute: equations state something that a theory holds is always true within that equation's domain of applicability. That doesn't prevent quantities appearing in the equations from being relative. The equation in that case just states that those relative quantities are related in a way that is absolute and fixed. For example, you can pick a reference frame in which the speed and Lorentz factor of a body in motion are whatever you want them to be, but you cannot choose $$v$$ and $$\gamma$$ independently of one another. If you fix one, you also fix the other, since they must always be related by $$\gamma \,-\, \frac{1}{1 \,-\, v^{2}/c^{2}} \,=\, 0$$.
It is silly to ask how an "absolute", testable equation can contain relative quantities when just about every equation in relativity is an example of how that is possible.
and this is the issue I am wishing to discuss or highlight.
the L transforms generates an out come that requires t=0 for both observers to be relative. That is to say t & t' are equal to two different and relative 0's [ if relative v=>0 ]
Correct me if I am wrong,
the L transform start with a presumtpion that t=0 is absolute for both observers and then calculates how relative velocity changes that t=0 for each observer to t=0 & t'=0 [ a diffent (t) for each observer]
is this a correct way of putting it?
2 case sample:
observer A and observer B relative v= 0, t=0 for both observers. [absolute time]
observer A and observer B relative v = > 0 therefore t=0 for observer A is relative and no longer the same as t'=0 for observer B. [aka : relative time]