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!!

	[ Mail this page to a friend ]

Your ip address is: 18.205.26.39 This document was last modified on: (none) Your browser is: CCBot/2.0 (https://commoncrawl.org/faq/) Domains: relativitycalculator.com, relativityphysics.com, relativityscience.com, relativitysciencecalculator.com, einsteinrelativityphysicstheory.com Urls: https://www.relativitycalculator.com, http://www.relativityphysics.com, http://www.relativityscience.com, http://www.relativitysciencecalculator.com, http://www.einsteinrelativityphysicstheory.com ss		note: for a secure encrypted connection type 'https' in the url address bar - i.e., https://www.relativitycalculator.com/