**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]**

Complex-Time Geometry and Perpetual Creation of Space

As we have seen in chapter II (section 15), the principle of least action is a general principle of Nature, which had been applied to derive the Newtonian, Lagrangian and Hamiltonian equations of motion, and also in General Relativity, or what is known as the Einstein-Hilbert action, as we have seen in section 3. The same principle was also applied by Dirac in his derivation of the quantum interference of amplitudes, when he derived his wave equation, as we have seen in section 5.2.

Feynman, on his part, generalized the least-action principle, by replacing the classical notion of a single classical trajectory with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude. This formulation is called Path Integral, and it had been proven crucial to the subsequent development of many fields in theoretical physics.

Unlike previous methods, the path integral allows physicists to easily change coordinates between very different canonical descriptions of the same quantum system. Another advantage is that it is in practice easier to guess the correct form of the Lagrangian of a theory, which naturally enters the path integrals, than the Hamiltonian.

The path-integral approach has been proved to be equivalent to the other formalisms of Quantum Mechanics and Quantum Field Theory. Thus, by deriving either approach from the other, problems associated with one or the other approach can be solved.

The path integral also relates quantum and stochastic processes, and this provided the basis for the grand synthesis of the 1970s, which unified Quantum Field Theory with the statistical field theory of a fluctuating field near a second-order phase transition. The Schroedinger equation is a diffusion equation with an imaginary diffusion constant, and the path integral is an analytic continuation of a method for summing up all possible random walks.

In Quantum Mechanics, as in classical mechanics, the Hamiltonian is the generator of time translations. This means that the state at a slightly later time differs from the state at the current time by the result of acting with the Hamiltonian operator, multiplied by the negative imaginary unit:. For states with a definite energy, this is a statement of the de Broglie relation between frequency and energy, and the general relation is consistent with that plus the superposition principle.

The Hamiltonian in classical mechanics is derived from a Lagrangian, which is a more fundamental quantity relative to special relativity. The Hamiltonian indicates how to march forward in time, but the time is different in different reference frames. The Lagrangian is a Lorentz scalar, while the Hamiltonian is the time component of a four-vector. So the Hamiltonian is different in different frames, and this type of symmetry is not apparent in the original formulation of Quantum Mechanics.

Dirac’s work did not provide a precise prescription to calculate the sum over paths, and he did not show that one could recover the Schroedinger equation or the canonical commutation relations from this rule. This was done by Feynman. That is, the classical path arises naturally in the classical limit.

Feynman showed that Dirac’s quantum action was, for most cases of interest, simply equal to the classical action, appropriately discretized. This means that the classical action is the phase acquired by quantum evolution between two fixed endpoints.

The path integral formulation of Quantum Field Theory represents the transition amplitude, corresponding to the classical correlation function, as a weighted sum of all possible histories of the system from the initial to the final state. A Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude.

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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 ...

... ndamental method from Relativity, other than being similar to the time dilation and length contraction: , . Using the same equation with ; thus: , we can also derive the relativistic energy- MOMENTUM RELATION , by squaring and doing some modifications: (5.20) From this equation we get: (5.21 ...

... 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 ...

... nergy equivalence relation. 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 ...

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

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

... 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 ...

... 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 ...

... ived by any other fundamental method from Relativity, other than being similar to the time dilation and length contraction: , . Using the same equation with ; thus: , we can also derive the RELATIVISTIC ENERGY -momentum relation, by squaring and doing some modifications: (5.20) From this eq ...

... thematical validation of the mass-energy equivalence relation , because the starting equation is not derived by any other fundamental method from Relativity, other than being similar to the TIME DILATION and length contraction: , . Using the same equation with ; thus: , we can also derive ...

... ion of the mass-energy equivalence relation , because the starting equation is not derived by any other fundamental method from Relativity, other than being similar to the time dilation and LENGTH CONTRACTION : , . Using the same equation with ; thus: , we can also derive the relativistic e ...

... 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 ...

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 .....>>>>

Because He loves beauty, Allah invented the World with ultimate perfection, and since He is the All-Beautiful, He loved none but His own Essence. But He also liked to see Himself reflected outwardly, so He created (the entities of) the World according to the form of His own Beauty, and He looked at them, and He loved these confined forms. Hence, the Magnificent made the absolute beauty --routing in the whole World-- projected into confined beautiful patterns that may diverge in their relative degrees of brilliance and grace.