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The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics

by Mohamed Haj Yousef


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9.  Appendix: Deducing  from :


 

Starting from equation 8 above:

 

                                                                                                    (26)

 

and we can find  by differentiating , with respect to :

 

                                                                                  (27)

 

From this equation we find: , and by replacing in equation 26 we get:

 

                                                      (28)

 

This method, however, can not be considered a mathematical validation of the mass-energy equivalence relation , because the starting equation  is not derived by any other fundamental method from current Relativity, other than being analogous to the equations of time dilation and length contraction: , .

Using the same equation  with ; thus: , we can also derive the relativistic energy-momentum relation, by squaring and applying some modifications:

 

                                                                     (29)

 

From this equation we get: , thus , or:

 

                                                  (30)

 

Again, since this derivation relies originally on the equation: , it can not be considered a mathematical validation of the mass-energy equivalence relation.

 



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Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
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Message from the Author:

I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!

By revealing the mystery of the connection between discreteness and contintuity, this novel understanding of the complex (time-time) geometry, will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures.

Enjoy reading...

Mohamed Haj Yousef


Check this detailed video presentation on "Deriving the Principles of Special, General and Quantum Relativity Based on the Single Monad Model Cosmos and Duality of Time Theory".

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