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

Group representations describe abstract groups in terms of linear transformations of vector spaces. They can be used to represent group elements as matrices, so that the group operation can be represented by matrix multiplication, which allows many group-theoretic problems to be reduced to problems in linear algebra. A representation means a homomorphism from the group to the automorphism group of an object. If the object is a vector space we have a linear representation.

A representation of a group is an action of on a vector space by invertible linear maps. Therefore, representation theory also depends heavily on the type of vector space on which the group acts. One distinguishes between finite-dimensional representations and infinite-dimensional ones. In the infinite-dimensional case, additional structures are important, depending on the type of space. One must also consider the type of field over which the vector space is defined. The most important fields are complex, real and finite fields. In general, algebraically closed fields are easier to handle than non-algebraically closed ones. The characteristic of the field is also significant; many theorems for finite groups depend on the characteristic of the field not dividing the order of the group.

There are various representation theories of groups, depending on the kind of group being represented, though the basic definitions and concepts are similar. For example, if the field of scalars of the vector space has some characteristic that divides the order of the group, then this is called modular representation theory. Many of the results of finite group representation theory are proved by averaging over the group. These proofs can be carried over to infinite groups by replacement of the average with an integral, provided that an acceptable notion of integral can be defined. The resulting theory is a central part of harmonic analysis.

Many important Lie groups are compact, so the results of compact representation theory apply to them, but other techniques specific to Lie groups are also used. For example, most of the groups important in physics and chemistry are Lie groups, and their representation theory is crucial to the application of group theory in those fields.

On the other hand, linear algebraic groups, or more generally affine group schemes, are the analogues of Lie groups, but over more general fields than just or . Although linear algebraic groups have a classification that is very similar to that of Lie groups, and give rise to the same families of Lie algebras, their representations are rather different and much less well understood. Therefore, the analytic techniques used for studying Lie groups must be replaced by techniques from algebraic geometry, where the relatively weak topology causes many technical complications.

The class of non-compact groups is too broad to construct
any general representation theory, but specific special cases have been
studied, sometimes using some*ad hoc*techniques.

Group representations help understanding their properties by studying how do they act on different spaces, so they are very important in physics because they describe how the symmetry group of a physical system affects the solutions of equations describing that system.

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## ... Lie Algebra =>:

## ... Perpertual Creation =>:

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## ... Transcendence Read =>:

... 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 ...

... c geometry, where the relatively weak topology causes many technical complications. The class of non-compact groups is too broad to construct any general representation theory, but specific SPECIAL CASE s have been studied, sometimes using some ad hoc techniques. Group representations help ...

... representations help understanding their properties by studying how do they act on different spaces, so they are very important in physics because they describe how the symmetry group of a PHYSICAL SYSTEM affects the solutions of equations describing that system. Read ...

... ues specific to Lie groups are also used. For example, most of the groups important in physics and chemistry are Lie groups, and their representation theory is crucial to the application of GROUP THEORY in those fields. On the other hand, linear algebraic groups, or more generally affine g ...

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

... oc techniques. Group representations help understanding their properties by studying how do they act on different spaces, so they are very important in physics because they describe how the SYMMETRY GROUP of a physical system affects the solutions of equations describing that system. ...

... c geometry, where the relatively weak topology causes many technical complications. The class of non-compact groups is too broad to construct any general representation theory, but specific SPECIAL CASES have been studied, sometimes using some ad hoc techniques. Group representations help ...

... es, are the analogues of Lie groups, but over more general fields than just or . Although linear algebraic groups have a classification that is very similar to that of Lie groups, and GIVE RISE to the same families of Lie algebras, their representations are rather different and much ...

... s, but over more general fields than just or . Although linear algebraic groups have a classification that is very similar to that of Lie groups, and give rise to the same families of Lie algebras, their representations are rather different and much less well understood. Therefore, t ...

... cribing that system. 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 ...

... 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 ...

... 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 ...

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!