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]**

Complex-Time Geometry and Perpetual Creation of Space

In 1947, Hans Bethe (1906-2005) introduced the idea of renormalization, by attaching infinities to corrections of mass and charge that were actually fixed to a finite value by experiments. In this way, infinities were absorbed in those constants and yield a finite result in good agreement with experiments. This method was developed further by many other physicists, and it is now possible to get fully covariant formulations that were finite at any order in a perturbation series of Quantum Electrodynamics. This covariant and gauge invariant formulations of Quantum Electrodynamics allowed computations of observables at any order of perturbation theory.

In 1948, Feynman introduced sophisticated pictorial diagrams which depicted all possible interactions pertaining to a given interaction. These diagrams showed that the electromagnetic force is the interaction of photons between interacting particles. We shall also talk about these diagrams in section 5.8. Feynman’s mathematical technique initially seemed very different from the operator-based approach, but it was shown later that the two approaches were equivalent.

Renormalization, as the need to attach a physical meaning at certain divergences appearing in the theory through integrals, has subsequently become one of the fundamental aspects of Quantum Field Theory and has come to be seen as a criterion for a theory’s general acceptability. Even though renormalization works very well in practice, Feynman was never entirely comfortable with its mathematical validity, even referring to renormalization as a “shell game” and “hocus pocus”.

The rationale behind renormalization is to avoid divergences that appear in physical predictions by shifting them into a part of the theory where they do not influence empirical statements. A Quantum Field Theory is called renormalizable if all infinities can be absorbed into a redefinition of a finite number of coupling constants and masses. A consequence for QED is that the physical charge and mass of the electron must be measured and cannot be computed from first principles.

In order to define a theory on a continuum, one may first place a cutoff on the fields, by postulating that quanta cannot have energies above some extremely high value. This has the effect of replacing continuous space by a structure where very short wavelengths do not exist, as on a lattice. Lattices break rotational symmetry, and one of the crucial contributions made by Feynman, Pauli and Villars, and modernized by ’t Hooft and Veltman, is a symmetry-preserving cutoff for perturbation theory, which is called regularization. There is no known symmetrical cutoff outside of perturbation theory, so for rigorous or numerical work people often use an actual lattice.

On a lattice, every quantity is finite but depends on the spacing. When taking the limit to zero spacing, one makes sure that the physically observable quantities like the observed electron mass stay fixed, which means that the constants in the Lagrangian defining the theory depend on the spacing. By allowing the constants to vary with the lattice spacing, all the results at long distances become insensitive to the lattice, defining a continuum limit.

The renormalization procedure only works for a certain limited class of quantum field theories, called renormalizable quantum field theories. A theory is perturbatively renormalizable when the constants in the Lagrangian only diverge at worst as logarithms of the lattice spacing for very short spacings. The continuum limit is then well defined in perturbation theory, and even if it is not fully well defined non-perturbatively, the problems only show up at distance scales that are exponentially small in the inverse coupling for weak couplings. The Standard Model of particle physics is perturbatively renormalizable, and so are its component theories: Quantum Electrodynamics, electroweak theory and Quantum Chromodynamics. Of the three components, Quantum Electrodynamics is believed to not have a continuum limit by itself, while the asymptotically freeandweak and strong color interactions are nonperturbatively well defined.

The renormalization group as developed along Wilson’s breakthrough insights relates effective field theories at a given scale to such at contiguous scales. It thus describes how renormalizable theories emerge as the long distance low-energy effective field theory for any given high-energy theory. As a consequence, renormalizable theories are insensitive to the precise nature of the underlying high-energy short-distance phenomena. This is a blessing in practical terms, because it allows physicists to formulate low energy theories without detailed knowledge of high-energy phenomena. It is also a curse, because once a renormalizable theory such as the standard model is found to work, it provides very few clues to higher-energy processes.

The only way high-energy processes can be seen in the standard model is when they allow otherwise forbidden events, or else if they reveal predicted compelling quantitative relations among the coupling constants of the theories or models.

On account of renormalization, the couplings of Quantum Field Theory vary with scale, thereby confining quarks into hadrons, allowing the study of weakly-coupled quarks inside hadrons, and enabling speculation on ultra-high energy behavior.

## ... Monadology =>:

## ... Generating Mass =>:

## ... Energy Equivalence =>:

## ... Outward Level =>:

## ... Physical Particle =>:

## ... Equivalence Relation =>:

## ... Inertial Mass =>:

## ... Apparent Velocity =>:

## ... Real Speed =>:

## ... Normal Outward =>:

## ... Outer Level =>:

## ... Inner Time =>:

... 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 ...

... nces on General Relativity and Quantum Mechanics ...

... omplex-Time Geometry and Perpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 5.3.3.3 Method II (Generating Mass in the Inner Time) We can also arrive to the mass- ENERGY EQUIVALENCE relation directly from the starting equation 5.7 in an alternative manner if we c ...

... we put in equation 5.7 and integrate over mass from to zero (where ), or vice versa, we get: (5.10) Unlike the classical case in equation 5.8 where the change in speed occurs in the normal OUTWARD LEVEL of time, these simple derivations (in equations 5.9 and 5.10) would not have been poss ...

... tly from the starting equation 5.7 in an alternative manner if we consider a sudden decoupling, or disentanglement, of the geometrical points that couple together in order to constitute the PHYSICAL PARTICLE that appears in the outer level of time with inertial mass moving at an apparent ( ...

... Time Geometry and Perpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 5.3.3.3 Method II (Generating Mass in the Inner Time) We can also arrive to the mass-energy EQUIVALENCE RELATION directly from the starting equation 5.7 in an alternative manner if we consider ...

... we consider a sudden decoupling, or disentanglement, of the geometrical points that couple together in order to constitute the physical particle that appears in the outer level of time with INERTIAL MASS moving at an apparent (imaginary) velocity , so when these geometrical points are dise ...

... al mass moving at an apparent (imaginary) velocity , so when these geometrical points are disentangled to remain at their real speed (of light), the mass converts back into energy while the APPARENT VELOCITY does not change, because this process is happening in the inward level of time whi ...

... hysical particle that appears in the outer level of time with inertial mass moving at an apparent (imaginary) velocity , so when these geometrical points are disentangled to remain at their REAL SPEED (of light), the mass converts back into energy while the apparent velocity does not chang ...

... hus, if we put in equation 5.7 and integrate over mass from to zero (where ), or vice versa, we get: (5.10) Unlike the classical case in equation 5.8 where the change in speed occurs in the NORMAL OUTWARD level of time, these simple derivations (in equations 5.9 and 5.10) would not have be ...

... an alternative manner if we consider a sudden decoupling, or disentanglement, of the geometrical points that couple together in order to constitute the physical particle that appears in the OUTER LEVEL of time with inertial mass moving at an apparent (imaginary) velocity , so when these ge ...

... ity and Quantum Mechanics ...

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 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.