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The Duality of Time Theory

Complex-Time Geometry and Perpetual Creation of Space

Mohamed Haj Yousef

1.3.1 Formation of Dimensions

In this manner, the dimensions of space are dynamically formed by the linear flow of the inner levels of time, which has to be interrupted in order to make a new dimension. This interruption is achieved by multiplying with the imaginary unit, which produces an abrupt rotation, creating a new dimension that is perpendicular on the previous level, or hyperbolically orthogonal on it, to be more precise.

It is this subtle property, that is a consequence of the duality nature of time, that makes space-time geometry genuinely discrete and complex, otherwise if we consider all the dimensions to be coexisting together it will be continuous and real. This will therefore have deep implications on the various fields of mathematics, such as geometry and number theory, because complex numbers are now genuinely natural while the reals are one of their special approximations, that corresponds to the extreme theoretical case of infinite flat space without any motion in time.

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