1. Special Relativity claims that events which are simultaneous from the inertial frame of reference (or IFR) of one observer are definitely not simultaneous from the IFR of another observer moving rectilinearly at constant velocity relative to the first observer.

 
2. This means that if two events, which we shall call E₁ and E₂, occur simultaneously in the IFR of an observer whom we shall call Adam, then events E₁and E₂ could not possiblyoccur simultaneously in the IFR of another observer — whom we shall call Eve — if Eve is moving rectilinearly at a constant velocity v relative to Adam.

 
3. This in turn means that if according to Adam’s watch, event E₁ occurred precisely at aspecific time t, and if as indicated by Adam’s watch event E₂ also occurred precisely at the same specific time t — as it must if event E₂ is to be simultaneous in Adam’s IFR with event E₁ — then event E₁, as indicated by Eve’s watch, must have occurred at a specific time t' which is different from t as indicated by Adam’s watch; and as indicated by Eve’s watch, event E₂ must have occurred at time t" which is different from both, the time t as indicated by Adam’s watch and from the time t' as indicated by Eve’s watch. 

 
4. (For if the times t' and t" as indicated by Eve’s watch were exactly the same, then events E₁ and E₂ would have occurred simultaneously in Eve’s IFR too!)

 
5. Thus by sentences 3. and 4. above, t' is definitely not equal to t".

 
6. The above is however incompatible with the Lorentz transformation equations, which are essential for Special Relativity. 
   
   
7. According to the Lorentz transformation equations, the time t' as indicated by Eve’s watch must be related to the time t indicated by Adam’s watch by the formula t' = <gamma>[t-(xv/c²)] where <gamma> = 1/[1-(v²/c²)]^0.5, and x is the distance, as measured by Adam, between Adam's watch and Eve's watch.

 
8. And according to the Lorentz transformation equations, the time t" as indicated by Eve’s watch must be related to the time t indicated by Adam’s watch by the formula t" = <gamma>[t-(xv/c²)] where <gamma> = 1/[1-(v²/c²)]^0.5, and x is the distance as measured by Adam between Adam's watch and Eve's watch.

 
9. At any given time t, as indicated by Adam's watch, there can be only one distance x, as measured by Adam, between Adam's watch and Eve's watch.

 
10. Thus the value of x must be exactly the same in both 7. and 8. above.

 
11. Since the values of the terms on the right hand sides of the equations in 7. and 8. above are exactly identical,t' must be exactly equal to t" and cannot possibly be different from it.

 
12. Thus by sentence 9. above, t' = t" — which contradicts sentence 5. above, according to which t' is not equal to t" ... and which therefore proves that the Special Theory of Relativity must be self-contradictory.

Any comments? e-mail me.