DoT: The Duality of Time Postulate

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1. Book Title

   DOT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics Mohamed Haj Yousef Paperback: ISBN-13: 978-1687895509 All rights reserved. No part of this book may be reprinted or reproduced or …

2. Introduction

   … oration of the Duality of Time postulate and its consequences on General Relativity and Quantum Mechanics. To make it easier for citing, this book is presented in the form of a scientific paper, which will also make it more access …

3. The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics

4. 2. Introduction:

   … is the only way to avoid singularities which are unavoidable in General Relativity. In the Duality of Time Theory, since the dimensions of space and matter are being re-created in the inner (complete) levels of time, the final di …

5. 4. A Brief General Analysis:

   … eads at the same time to all the three principles of Special and General Relativity together, since there is no more any difference between inertial and non-inertial frames, because the instantaneous velocity in the imaginary time …

6. 5. The Dynamic Formation of Dimensions:

   … y it is possible to avoid singularities which are unavoidable in General Relativity, since it is primarily constructed on curved space-time continuum that uses Riemannian manifolds, in which the geometry becomes ill-defined at the …

7. 5.2. The Two Arrows of Time:

   … in the encompassing outer time. As we shall see in section 5.3, General Relativity is the first approximation for inside observers, but since the Universe is evolving we need to describe it by , from the time perspective. So GR i …

8. 5.3. General Relativity Approximation:

   … he minus. This four-dimensional space later became necessary for General Relativity, due to the presence of gravity, which required Riemannian geometry to evaluate space-time curvatures. In the split-complex hyperbolic geometry, L …

9. 5.4. Aether and the Cosmological Constant Problem:

   … lity of Time Theory reconciles the classical view of aether with General Relativity and Quantum Field Theory at the same time, because it is now the ground state of particles that are dynamically generated in time. In Quantum Fiel …

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

    … inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz transformations and Einstein’s field equations, are implicit in the Duality of Time p …

11. 6.2. The Mass-Energy Equivalence Relation:

    … ry velocity as being real, the Duality of Time Theory reduces to General Relativity, but when we consider its imaginary character we will uncover the hidden discrete space-time symmetry and we will automatically obtain Lorentz tra …

12. Method IV (complex momentum and energy-momentum relation)

    … complex nature of time, the Duality of Time Theory is reduced to General Relativity, which considers both space and time to be real, and then we take the apparent rather than the complex velocity whose instantaneous value is alway …