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 different dimensions. - => Conference Talk - Another Conference [Detailed Presentation]
Complex-Time Geometry and Perpetual Creation of Space
In addition to the fundamental works of Bohr, Heisenberg, Schroedinger, and other scientists in the 1920s, the mathematical formulation of Quantum Mechanics was developed further by various famous physicists, such as Paul Dirac, David Hilbert, John von Neumann, and Hermann Weyl. Heisenberg’s matrix mechanics was the first successful attempt at replicating the observed quantization of atomic spectra, followed by Schroedinger’s wave mechanics, although he himself initially did not understand its fundamental probabilistic nature, until Max Born introduced the interpretation of the absolute square of the wave-function as the probability distribution of the position of a quantum object.
Schroedinger’s wave-function can be seen to be closely related to the classical Hamilton-Jacobi equation. The correspondence to classical mechanics was even more explicit in Heisenberg’s matrix mechanics. Paul Dirac then discovered that the equation for the operators in the Heisenberg representation closely translates to classical equations for the dynamics of certain quantities in the Hamiltonian formalism of classical mechanics, when one expresses them through Poisson brackets, a procedure now known as canonical quantization.
Although Schroedinger himself proved the equivalence of his wave-mechanics and Heisenberg’s matrix mechanics, the reconciliation of the two approaches and their modern abstraction as motions in Hilbert space is generally attributed to Paul Dirac, who wrote a lucid account in his 1930 classic The Principles of Quantum Mechanics Dirac (1981).
Dirac also discovered a relativistic generalization of the quantum theory, and he introduced the bra-ket notation, together with an abstract formulation in terms of the Hilbert space used in functional analysis. He showed that Schroedinger’s and Heisenberg’s approaches were two different representations of the same theory, and found a third, most general one, which represented the dynamics of the system. His work was particularly fruitful in all kinds of generalizations of the field, as we shall discuss further when we review his contribution in the Quantum Field Theory in section 5.
In the formalism of Quantum Mechanics, the state of a system at a given time is described by a complex wave-function, also referred to as state vector in a complex vector space. This abstract mathematical object allows for the calculation of probabilities of outcomes of concrete experiments. For example, it allows one to compute the probability of finding an electron in a particular region around the nucleus at a particular time. Contrary to classical mechanics, one can never make simultaneous predictions of conjugate variables, such as position and momentum, to arbitrary precision.
When Quantum Mechanics was originally formulated, it was applied to models whose correspondence limit was non-relativistic classical mechanics. For instance, the well-known model of the quantum harmonic oscillator uses an explicitly non-relativistic expression for the kinetic energy of the oscillator, and is thus a quantum version of the classical harmonic oscillator.
Early attempts to merge Quantum Mechanics with Special Relativity involved the replacement of the Schroedinger equation with a covariant equation such as the Klein-Gordon equation or the Dirac equation, described in section 5.2. While these theories were successful in explaining many experimental results, they had certain unsatisfactory qualities stemming from their neglect of the relativistic creation and annihilation of particles. A fully relativistic quantum theory required the development of Quantum Field Theory, which applies quantization to a field, rather than a fixed set of particles. The first complete Quantum Field Theory, called Quantum Electrodynamics, described in section 5.3, provides a fully quantum description of the electromagnetic interaction. The full apparatus of Quantum Field Theory is often unnecessary for describing electrodynamic systems.
... 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 ...
... ical velocity, which is effectively the speed of creation or the refresh rate of re-creation. This gives rise to Relativity because this velocity is independent of all observers, while also ALLOWING INSTANTANEOUS nonlocal physical change, and not only transfer of information, because there ...
... of points that are normally locally isolated. So in the macroscopic situations the effect of observers or measurements will be limited only through physical forces, but in small isolated or ENTANGLED SYSTEMS , consciousness may have a considerable effect on the outcome of the collapse of wa ...
... n laws rather than distance. The effect of distance prevails in large systems because energy dissipates quickly over the large number of points when they are spatially connected, i.e. in an APPARENTLY CONTINUOUS local region of space. Therefore, microscopic isolated systems will always exh ...
... ll be re-created with possible slight changes that may occur at various positions. Therefore, the dynamic manifest Universe is the instantaneous and continuously renewed succession of these SLIGHTLY CHANGING frames. Motion, therefore, is observed because things may successively appear in d ...
... ontinuous motion, but it is always re-creation in the new place which could be at the other end of the Universe right in the following instance, as it usually happens with the two entangled EPR particles, or in quantum tunneling. On the other hand, because the re-creation does not deliver ...
... no real continuous motion, but it is always re-creation in the new place which could be at the other end of the Universe right in the following instance, as it usually happens with the two entangled EPR particles, or in quantum tunneling. On the other hand, because the re-creation does no ...
... by Mohamed Haj Yousef Search Inside this Book 5.3.1 Locality and the Speed of Light It is quite obvious from the above description of the inward level of time that there is a terminal COSMOLOGICAL VELOCITY , which is effectively the speed of creation or the refresh rate of re-creation ...
... e systems because energy dissipates quickly over the large number of points when they are spatially connected, i.e. in an apparently continuous local region of space. Therefore, microscopic ISOLATED SYSTEMS will always exhibit quantum interactions as a result of the laws of conservation. T ...
... created with possible slight changes that may occur at various positions. Therefore, the dynamic manifest Universe is the instantaneous and continuously renewed succession of these slightly CHANGING FRAMES . Motion, therefore, is observed because things may successively appear in different ...
... ents; rather, it only may change some of the different states of existing space and matter, this means that the whole Universe is like a global manifold standing wave, or a closed system of QUANTIZED EXCITATIONS , where any perturbation at a particular location will cause subsequent coheren ...
... the change occurs through smooth motion on which we can apply the laws of mechanics, i.e. velocity equals distance per time, in which case the universal frequency of re-creation is the same UNIVERSAL SPEED of light in vacuum. In small systems we can speak of frequency but not velocity, in ...
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.
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Mohamed Haj Yousef
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