§ Assume strictly and only from the Michelson  Morley Experiment ( 1887 )  that is, we know nothing more than that which is obtained from this famous experiment and its ad  hoc solution:
1).
"Lorentz Length Contraction" of in frame moving away from stationary frame as measured in .
2).
"Lorentz Time Dilation" of in moving away from stationary system as measured in .
3). Assume also the extent of the distance of the light flash from
describes a rigid rod.
§ Some definitions:
a). In system :
.
b). In system :
since is moving away from with velocity .
c). Because
This latter is true because the entire system is relatively moving away from system frame with velocity in  time .
§ Lorentz Transformation Equations Derivation:
I. Using "Lorentz Length Contraction" ad  hoc assumption of the Michelson  Morley Experiment ( 1887 ),
.
This part was easy!
II. We will be using "Lorentz Time Dilation" ad  hoc assumption of the Michelson  Morley Experiment ( 1887 ) in this rather more complicated following derivation:
.
Nothing more to say!!
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