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ULTIMATE SYMMETRY:

Fractal Complex-Time and Quantum Gravity

by Mohamed Haj Yousef



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II.4.4 Uncertainty


On the other hand, if we suppose the particle is composed of  individual geometrical points, each of which is either in the inner or outer levels of time, so their individual speeds are either zero or , but collectively appear to be moving at the limited apparent velocity , that can be calculated from equation 3.1; thus the particle is described by . Therefore, because only one point actually exists in the real flow of time, the position of this point is completely undetermined, because its velocity is equal to , while the rest have been already defined, because they are now in the past, and their velocities had been sequentially and abruptly collapsed from  to zero, after they made their corresponding specific contribution to the total quantum state which defines the position of the particle with relation to the observer.

When the number  is very large, as it is the case with large objects and heavy particles, the uncertainty will be very small, because only one point is completely uncertain at the real instance of time. But for small particles, such as the electron, the uncertainty could become considerably large, because it is inversely proportional to : . This uncertainty in position will also increase with (the imaginary) velocity , or momentum , because higher physical velocity means that on average more and more points are becoming in the real speed , rather than rest, as can also inferred from equation 3.1.

 



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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


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