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DUALITY OF TIME:

Complex-Time Geometry and Perpetual Creation of Space

by Mohamed Haj Yousef



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2.5.1  Achilles and the Tortoise


Achilles, who is the fastest runner of antiquity, is racing to catch the Tortoise that is slowly crawling a little ahead of him. In order to catch the Tortoise, Achilles will have to reach the place where it presently is. However, by the time Achilles gets there, the Tortoise will have moved to a new location. Achilles will then have to reach this new location. By the time he reaches that location, the Tortoise will have moved on to yet another location, and so on ad infinitum.

Figure 2.1: When the race started the Tortoise (T) was in location (1) that is a small distance (D) ahead of Achilles location (A, 1). By the time Achilles cuts this distance (D), the Tortoise will have moved to a new location (2), and when Achilles reaches this new location (T, 2), the Tortoise will have moved on to yet another location (T, 3), and so on ad infinitum. Achilles will never be able to catch the Tortoise although the distance between them gets ever smaller.



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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.

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Mohamed Haj Yousef


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Because He loves beauty, Allah invented the World with ultimate perfection, and since He is the All-Beautiful, He loved none but His own Essence. But He also liked to see Himself reflected outwardly, so He created (the entities of) the World according to the form of His own Beauty, and He looked at them, and He loved these confined forms. Hence, the Magnificent made the absolute beauty --routing in the whole World-- projected into confined beautiful patterns that may diverge in their relative degrees of brilliance and grace.
paraphrased from: Ibn al-Arabi [The Meccan Revelations: IV.269.18 - trans. Mohamed Haj Yousef]
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