 Relativity Science Calculator - A Simpler Lorentz Transformation Derivation

A Simpler Lorentz Transformation Derivation § 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!!