# ULTIMATE SYMMETRY:

Fractal Complex-Time and Quantum Gravity

# III.2.2 Method I (abrupt change of speed in the inner time):

The relativistic energy-momentum relation is derived in section III.2.9 further below, but the simple mass-energy equivalence relation:  (without the half ) can now be easily obtained from the same integration in equation 3.7 if,and only if, we suppose that the object, whose mass is , moves from rest to , or vice versa, in zero time , which of course will contradict the laws of physical motion because the acceleration would be infinite, and hence the force and the energy. Light does in fact behave in this manner, for example: in pair production, or when emitted or absorbed; but the photon is massless, unlike other particles and objects which have mass and suffer inertia and acceleration.

By introducing the duality of time and the resulting perpetual re-creation, this problem is solved because the conversion between mass and energy takes place, sequentially, in the inner levels of time, on all the massless geometrical points that constitute the particle, and this whole process appears as one instance in the outer level, as demonstrated in Figure I.4 above.

So by integrating equation 3.7 directly from zero to , which then becomes summation because it is an abrupt change, with only the two states of void and vacuum, corresponding to zero and , respectively, and since the change in the outward time is zero, and here we also consider , since the apparent velocity does not change in this case, but we will also discuss relativistic mass in section III.2.5 below; thus we obtain:

(3.9)

The difference between the above two cases that result in equations 3.8 and 3.9 is demonstrated in Figure III.2, where in the first case the integration that gives the kinetic energy  is the area of thetrianglebelow the gradual arrow (1), while in the second case it is the area of therectanglebelow the right angle arrow (2).

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• ... sponding to zero and , respectively, and since the change in the outward time is zero, and here we also consider , since the apparent velocity does not change in this case, but we will also DISCUSS RELATIVISTIC mass in section III.2.5 below; thus we obtain:    (3.9)   The di ...

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• ... aj Yousef Search Inside this Book III.2.2 Method I (abrupt change of speed in the inner time): The relativistic energy-momentum relation is derived in section III.2.9 further below, but the SIMPLE MASS -energy equivalence relation:  (without the half ) can now be easily obtained from t ...

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• ... rom zero to , which then becomes summation because it is an abrupt change, with only the two states of void and vacuum, corresponding to zero and , respectively, and since the change in the OUTWARD TIME is zero, and here we also consider , since the apparent velocity does not change in thi ...

The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.
Ibn al-Arabi [The Meccan Revelations: Volume I, page 156. - Trns. Mohamed Haj Yousef]

### The Sun from the West:

Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory

### 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.