Introduction

This short book presents a brief and concise exploration 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 accessible and easier to be read by researchers who are interested in the astounding conclusions rather than any exhausting introductions which are provided in the previous books for more general readability.

The purpose of this book is to demonstrate how the Duality of Time Theory, that results from the Single Monad Model of the Cosmos, could explain and solve many major problems in physics and cosmology, including causality, non-locality, homogeneity, the arrow of time, the mass-gap (and Yang-Mills Conjecture), super-symmetry and matter-antimatter asymmetry, in addition to uniting the principles of Relativity and Quantum theories, as well as the psychical and spiritual domains; all based on the same genuinely-complex time-time geometry that provides the smooth link between the corpuscular physical particles and the absolute homogeneous (Euclidean) space, via four distinctive levels of symmetry: normal, super, hyper and ultimate, in addition to the original level of absolute Oneness.

All these symmetries will be naturally incorporated in the Standard Model of Elementary Particles, after discovering the hidden granular geometry revealed by the duality of time theory that explains how multiplicity is dynamically emerging from absolute Oneness, at every instance of our normal time! Therefore, this theory leads to the Ultimate Symmetry of space and its instantaneous breaking into the physical and psychical creations, with two hyperbolically orthogonal arrows of time.

The Single Monad Model of the Cosmos book series contains three volumes:

In the first volume, we introduced Ibn al-Arabi’s eccentric conception of time and outlined the general aspects of his cosmological views. This fundamental insight was developed in the second volume into the Duality of Time Theory, which provided elegant solutions to many persisting problems in physics and cosmology, including the arrow-of-time, super-symmetry, matter-antimatter asymmetry, wave-particle duality, mass generation, homogeneity, and non-locality, in addition to deriving the principles of Special and General Relativity based on its granular complex-time geometry. The third volume explores how the apparent physical and metaphysical multiplicity is emerging from the oneness of divine presence, descending through four fundamental levels of symmetry: ultimate, hyper, super and normal, in addition to the original level of absolute oneness.

The Duality of Time does not contradict the established theories of Modern Physics, but it exposes a deeper understanding of time that leads to the metaphysical (non-background) complex-time space, which is absolutely Euclidean, and which approximates to the non-Euclidean, Minkowskian or de Sitter / anti- de Sitter, space when we suppose the background to be continuously existing with real physical dimensions. This approximation leads to General Relativity, and the current first and second quantization, of energy and fields, but Quantum Gravity requires this third quantization, that is the true quantization of the space-time itself, and this cannot be achieved without taking into account the hidden symmetry of the new granular complex-time geometry.

Therefore, the correspondence principle is fulfilled by the Duality of Time Theory, because the semi-Riemannian geometry on the real space R is a special approximation of this complex-time geometry on the hyperbolic space H, so General Relativity is produced when we consider space and matter to be coexisting together in (and with) time, thus causing the deceptive continuity of physical existence. All the principles of Special and General Relativity can be derived mathematically from the Duality of Time postulate, in addition to exact derivation of the mass-energy equivalence relation that is not possible within the current theories without introducing some approximation or induction.

This Duality of Time Theory does not only explain how the Universe appeared ex-nihilo, but that it is always in this ontological state of potential existence; only perpetually coming into being for some series of consecutive discrete instances of time, the duration of which is absolutely zero, but as a result of our manipulative past memory and future expectation we imagine time extensions in which we are no more than dreamlike passing shadows making some monotonous noise for a short period of imaginary time, before we leave this World to a relatively higher level of existence.

Therefore, this research on the Single Monad Model made a substantial breakthrough in mathematics, physics, and cosmology, as well as natural philosophy, because it exposes a deeper level of time and original theory of creation that could explain many persisting problems in these various fields. The main result of the Duality of Time Theory is that vacuum is the real time, while our time is genuinely imaginary or latent to it, which makes it described as void. This vacuum-void duality is basically the same ancient atomistic philosophy, reinterpreted out of the most original theological and philosophical conceptions, combined together with the conclusions of modern physics and cosmology.

This research took more than three decades to crystallize, and it may be several more decades are needed to realize its immense consequences, because it goes far beyond the long-awaited Theory-of-Everything, to include all the physical, psychical and spiritual domains. This unique understanding of geometry will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures. There is no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!