A Simple Refutation of Special Relativity

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The Theory of Special Relativity with its mathematical reprensentation, the Lorentz Transformation, is easily refuted by examining its results for the propagation of light signals.


Consider two light fronts travelling in opposite directions in an inertial frame  . One light front is moving in the positive  -direction

 

and the other in the negative  -direction

 

where   and   denote the coordinates of the light fronts at time   in the system  , and   denotes the speed of light.


Following special relativity, the spatial coordinate   and the time   in an inertial frame  , which is moving with velocity   relative to   in the positive  -direction, are given by the Lorentz transformation

 

 

 

where   is the space coordinate and   is the time in the system  , which correspond to the space coordinate   and the time   in the system  , respectively.   is also known as Lorentz factor.


Substituting   for the first light front we get

 

 

with the common factor

 

From these equations special relativity tells us that, for a given time  , the distance the light front travels is shorter than in the system  , and time runs slower by the same factor, resulting in a constant speed of light   in both systems.


Now substituting   for the second light front we get

 

 

with the common factor

 

From these equations special relativity tells us now that, for a given time  , the distance the light front travels is longer than in the system  , and time runs faster by the same factor, resulting in a constant speed of light   in both systems.


This leads to a basic contradiction:

Time cannot run at different rates at the same time   and at the same place   in the same system  .


The Theory of Special Relativity, applied to the simple case of two light fronts moving in opposite directions, leads a contradiction and is thus refuted.


Relativistic Doppler Effect

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Electromagnetic Wave

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Period:  

Frequency:  

Propagation speed:  

Wavelength:  


Wave function maxima (wave crests):

 ,   integer
 


  wave crest:
 

 
Diagram 1. Some successive wavecrests propagating at speed c in the reference frame of the source (v=0.25c)


Galilean transformation

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Results for  :
 

 
Diagram 2. Result of Galilean transformation, based on the scenario given in Diagram 1


Result summary:
 
 
 
 

Lorentz transformation

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Results for  :
 
 


Substituting   to get   as function of  (using  ):
 

 
Diagram 3. Results of the Lorentz transformation, based on the scenario given in Diagram 1


Result summary:
 
 
 
 


Gerd Termathe