**Duality of Time Theory**, that results from the
**Single Monad Model of the Cosmos**, explains how *physical multiplicity* is emerging from absolute
(metaphysical) *Oneness*, at every instance of our normal time! This leads to the **Ultimate Symmetry** of space and its dynamic formation and breaking into the *physical* and *psychical* (supersymmetrical) creations, in orthogonal time directions. *General Relativity* and *Quantum Mechanics* are complementary **consequences** of the Duality of Time Theory, and all the fundamental interactions become properties of the new **granular complex-time geometry**, at diifferent dimensions. - **=> Conference Talk [Detailed Presentation]**

Fractal Complex-Time and Quantum Gravity

In General Relativity, space-time symmetries are used in studying exact solutions of Einstein s field equations, and they are different from internal symmetries. For example, the role of spherical symmetry is important in deriving the Schwarzschild solution and studying its physical consequences, such as the nonexistence of gravitational radiation in a spherically pulsating star. In the cosmological principle, symmetry restricts the type of universes that are consistent with large-scale observations, such as the Friedmann-Lema tre-Robertson-Walker metric. There various corresponding preserved properties, including: geodesics of the space-time, the metric tensor and the curvature tensor.

A rigorous definition of symmetries in General Relativity has been given by Hall in 2004, based on the idea of using smooth vector fields whose local flow diffeomorphisms preserve some property of the space-time. Because of this restricting diffeomorphism, the behavior of objects may not be as manifestly symmetric on large scales. A symmetry on the space-time is a smooth vector field whose local flow diffeomorphisms preserve some geometrical feature of the space-time, such as the metric, the energy-momentum tensor, or other aspects of the space-time, including its geodesic structure. The vector fields are called collineations or symmetries, and the set of all symmetry vector fields forms a Lie algebra under the Lie bracket operation, if the smoothness condition is fulfilled.

A Killing vector field is one of the most important types of symmetries and is defined to be a smooth vector field that preserves the metric tensor. Killing vector fields are related to conservation laws, and they have extensive applications, also in classical mechanics. An affine vector field preserves geodesics and preserves the affine parameter, while the homothetic vector fields are important in studying singularities. Other kinds of symmetry preserve the energy-momentum tensor, which are referred to as matter collineations or matter symmetries. It may be also shown that every Killing vector field is a matter collineation by the Einstein field equations. Therefore, a vector field that preserves the metric necessarily preserves the corresponding energy-momentum tensor. When the energy-momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field. When the energy-momentum tensor represents an electromagnetic field, a Killing vector field does not necessarily preserve the electric and magnetic fields.

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... Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics ...

... are used in studying exact solutions of Einstein s field equations, and they are different from internal symmetries. For example, the role of spherical symmetry is important in deriving the Schwarzschild solution and studying its physical consequences, such as the nonexistence of gravitati ...

... -momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field. When the energy-momentum tensor represents an ELECTROMAGNETIC FIELD , a Killing vector field does not necessarily preserve the electric and magneti ...

... metry is important in deriving the Schwarzschild solution and studying its physical consequences, such as the nonexistence of gravitational radiation in a spherically pulsating star. In the COSMOLOGICAL PRINCIPLE , symmetry restricts the type of universes that are consistent with large-scal ...

... r fields whose local flow diffeomorphisms preserve some property of the space-time. Because of this restricting diffeomorphism, the behavior of objects may not be as manifestly symmetric on LARGE SCALE s. A symmetry on the space-time is a smooth vector field whose local flow diffeomorphisms ...

... preserve the energy-momentum tensor, which are referred to as matter collineations or matter symmetries. It may be also shown that every Killing vector field is a matter collineation by the Einstein field equations. Therefore, a vector field that preserves the metric necessarily preserves ...

... density, pressure and the fluid flow vector field. When the energy-momentum tensor represents an electromagnetic field, a Killing vector field does not necessarily preserve the electric and MAGNETIC FIELDS . Read Other Books: The Single Monad Model of the Cosmos: Ibn Ar ...

... tum tensor, or other aspects of the space-time, including its geodesic structure. The vector fields are called collineations or symmetries, and the set of all symmetry vector fields forms a Lie algebra under the Lie bracket operation, if the smoothness condition is fulfilled. A Killing vec ...

... ex-Time and Quantum Gravity by Mohamed Haj Yousef Search Inside this Book III.1.4 Space-Time Symmetries and Diffeomorphisms In General Relativity, space-time symmetries are used in studying EXACT SOLUTION s of Einstein s field equations, and they are different from internal symmetries. For ...

... ed. A Killing vector field is one of the most important types of symmetries and is defined to be a smooth vector field that preserves the metric tensor. Killing vector fields are related to CONSERVATION LAWS , and they have extensive applications, also in classical mechanics. An affine vect ...

... ed. A Killing vector field is one of the most important types of symmetries and is defined to be a smooth vector field that preserves the metric tensor. Killing vector fields are related to CONSERVATION LAW s, and they have extensive applications, also in classical mechanics. An affine vect ...

... Einstein s field equations, and they are different from internal symmetries. For example, the role of spherical symmetry is important in deriving the Schwarzschild solution and studying its PHYSICAL CONSEQUENCES , such as the nonexistence of gravitational radiation in a spherically pulsatin ...

The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.

Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory

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.

*Enjoy reading... *

**Mohamed Haj Yousef**

Check this detailed video presentation on "Deriving the Principles of Special, General and Quantum Relativity Based on the Single Monad Model Cosmos and Duality of Time Theory".

Download the Book "DOT: The Duality of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics" or: READ ONLINE .....>>>>

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