The **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

Conservation laws are other ways to describe the symmetries that govern the system, especially during its evolution in time. For example, if some quantity remains constant throughout motion, it is described as conserved or invariant, and its rate of change, which is its first derivative with respect to time, is zero: . The earliest conserved quantities discovered in physics were momentum and energy.

In 1788, with the development of Lagrangian mechanics, which is related to the principle of least action, where the state of the system can be described by any type of generalized coordinates , unlike the customary approach in Newtonian mechanics, where the laws are expressed in Cartesian coordinate system. The action is defined as the time integral of a function known as the Lagrangian : , where the dot over signifies the rate of change of the coordinates : .

Hamilton s principle states that the physical path , as the one actually taken by the system, is a path for which infinitesimal variations in that path cause no change in , at least up to first order. This principle results in the Euler-Lagrange equations: .

Thus, if one of the coordinates, say , does not appear in the Lagrangian, the right-hand side of the equation is zero, and the left-hand side requires that: , where the momentum is conserved throughout the motion on the physical path.

Thus, the absence of the ignorable coordinate from
it implies that the Lagrangian is unaffected by changes or transformations of
; the
Lagrangian is invariant, and is said to exhibit a symmetry under such
transformations. This is the seed idea generalized in Noether s theorem, which
can be stated in simple words as:**if a system has a continuous symmetry
property, then there are corresponding quantities whose values are conserved in
time**, or:**to every differentiable symmetry generated by local actions,
there corresponds a conserved current**.

William Hamilton developed a theory of canonical transformations which allowed changing coordinates so that some coordinates disappeared from the Lagrangian, as above, resulting in conserved canonical momenta. Another approach, and perhaps the most efficient for finding conserved quantities, is the Hamilton-Jacobi equation.

In 1918, Noether s theorem gave a precise description of this relation. The theorem states that each continuous symmetry of a physical system implies that some physical property of that system is conserved. This means that in a transformation of a physical system that acts the same way everywhere and at all times, there exists an associated time independent quantity called a conserved charge. Conversely, each conserved quantity has a corresponding symmetry. For example, the isometry of space gives rise to conservation of linear momentum, whereas the isometry of time gives rise to conservation of energy.

It must be noted, however, that Noether s theorem applies only on differentiable space-time. Therefore, it is essential that the symmetry be continuous, so that it is specified by a set of parameters that can be varied continuously, and that the symmetry transformation can be arbitrarily close to the group identity. This means that all discrete symmetries of nature, such as time reversal invariance or mirror reflection, do not lead to new conserved quantities. However, there are other quantum counterparts of this theorem, expressed in the Ward-Takahashi identities. Generalizations of Noether s theorem to super-spaces also exist.

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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 ...

... ransformations of ; the Lagrangian is invariant, and is said to exhibit a symmetry under such transformations. This is the seed idea generalized in Noether s theorem, which can be stated in SIMPLE WORDS as: if a system has a continuous symmetry property, then there are corresponding quanti ...

... r-spaces also exist. Read Other Books: The Single Monad Model of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: Complex-Time Geometry and Perpertual Creation of Space The Ultimate Symmetry: Fractal Complex-Time and Quantum Gravity The Che ...

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

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

... uality: from Time Confinement to 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 ...

... mplex-Time Geometry and Perpertual Creation of Space The Ultimate Symmetry: Fractal Complex-Time and Quantum Gravity The Chest of Time: Particle-Wave Duality: from Time Confinement to Space Transcendence Read this short concise exploration of the Duality of Time Postulate: DoT: The Duality ...

... angian mechanics, which is related to the principle of least action, where the state of the system can be described by any type of generalized coordinates , unlike the customary approach in Newtonian mechanics, where the laws are expressed in Cartesian coordinate system. The action is defi ...

... tual Creation of Space The Ultimate Symmetry: Fractal Complex-Time and Quantum Gravity The Chest of Time: Particle-Wave Duality: from Time Confinement to Space Transcendence Read this short CONCISE EXPLORATION of the Duality of Time Postulate: DoT: The Duality of Time Postulate and Its Con ...

... s only on differentiable space-time. Therefore, it is essential that the symmetry be continuous, so that it is specified by a set of parameters that can be varied continuously, and that the SYMMETRY TRANSFORMATION can be arbitrarily close to the group identity. This means that all discrete ...

... Perpertual Creation of Space The Ultimate Symmetry: Fractal Complex-Time and Quantum Gravity The Chest of Time: Particle-Wave Duality: from Time Confinement to Space Transcendence Read this SHORT CONCISE exploration of the Duality of Time Postulate: DoT: The Duality of Time Postulate and I ...

... te system. The action is defined as the time integral of a function known as the Lagrangian : , where the dot over signifies the rate of change of the coordinates : . Hamilton s PRINCIPLE STATES that the physical path , as the one actually taken by the system, is a path for whi ...

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 .....>>>>

The time of anything is its presence; but I am not in time, and You are not in time; so I am Your time, and You are my time!