Relativity Calculator
§ 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 l' in frame S' moving away from stationary frame S as measured in S.
2).
"Lorentz Time Dilation" of t' in S' moving away from stationary S system as measured in S.
3). Assume also the extent of the distance of the light flash from
describes a rigid rod.
§ Some definitions:
a). In system S' :
.
b). In system S :
since S' is moving away from S with velocity v.
c). Because
This latter is true because the entire system S' is relatively moving away from system frame S with velocity v in S - time t.
§ 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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