DoT: The Duality of Time Postulate

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Search phrase: complex-time

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1. Book Title

   … -13: 978-1499779844, ISBN-10: 1499779844 2017 - Duality of Time (Complex-Time Geometry and Perpetual Creation of Space) - Paperback: ISBN-13: 978-1987778250, ISBN-10: 1987778251 2019 - Ultimate Symmetry (Fractal Complex-Time, the …

2. Introduction

   … 1499779844 Publication Date: June, 2014 Duality of Time Theory: Complex-Time Geometry and Perpetual Creation of Space ISBN-13: 978-1499779844 ISBN-10: 1499779844 Publication Date: December, 2017 Ultimate Symmetry: Fractal Complex …

3. 1. Abstract:

   … n space-time continuum is the first global approximation of this complex-time space in which the (complex) momentum and energy become invariant between different inertial and non-inertial frames alike. Therefore, in addition to Lo …

4. 4. A Brief General Analysis:

   … the temporal coupling between at least two geometrical points or complex-time instances. Moreover, just like the complete dimensions of space, the outer time itself, which is a fractional dimension, is also emerging from the same …

5. 5.1. The Genuinely-Complex Time-Time Frame:

   … ark energy (HUANG, 2013; HUANG et al., 2012). Therefore, the new complex-time geometry is the natural complex-scalar quantum field that explains the dynamic generation of space, mass and energy. We will discuss the origin of mass …

6. 5.2. The Two Arrows of Time:

   … ribed by , which means that both the real and imaginary parts of complex-time would be continuous, and this describes another homogeneous Euclidean space with one higher dimension than the original vacuum. Actually, the hyperbolic …

7. 5.3. General Relativity Approximation:

   … tz transformations, this essential characteristic of the dynamic complex-time geometry allows direct derivation of the equivalence principle that lead to General Relativity. This will be discussed further in sections 7, 6.1 and 6. …

8. 6. Deriving the Principles of Special and General Relativity:

   … s relative events in space-time, or inner-outer time that is the complex-time discussed in section 5. As the real time flows uniformly in the inner levels, it creates the homogeneous dimensions of vacuum, and whenever it is interr …

9. 6.1. Lorentz Transformations:

   … t to the first frame, are: , where , and since: , then: . In the complex-time frame of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitute …

10. 6.3. The Equivalence Principle of General Relativity

    … rther in section 7, because of the fractal dimensions of the new complex-time discrete geometry, performing the differentiation of this complex function requires non-standard analysis because space-time is no longer everywhere dif …

11. 7.1. Super-symmetry and its Breaking:

    … s section to outline an alternative description based on the new complex-time geometry. This has been explained with more details in other publications (Haj Yousef, 2014, 2017, 2019, 2018), but a detailed study is required based o …

12. Author Biography

    … _______________________________________________ DUALITY OF TIME: Complex-Time Geometry and Perpetual Creation of Space, (this book), CreateSpace (Charleston), Paperback: 360 pages, ISBN: 978-1539579205, 1539579204, First Published …