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DUALITY OF TIME:

Complex-Time Geometry and Perpetual Creation of Space

by Mohamed Haj Yousef



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3.4.5.2  Pilot Wave Theory


As we mentioned in section 4.4.1, Louis de Broglie proposed in 1924 that all matter particles have the nature of waves, which was confirmed after three years with experiments on electrons diffraction. In 1927, De Broglie then proposed a new concept to explain this weird behavior, the pilot wave theory in which physical particles are associated with waves which evolve according to the Schroedinger equation. After close collaboration, Schroedinger developed his wave equation for de Broglie’s theory. Therefore, each particle follows a deterministic trajectory, which is guided by the wave-function; collectively, the density of the particles conforms to the magnitude of the wave-function. Therefore, the wave-function is not influenced by the particle, and it can exist as an empty mathematical equation.

With encouragement by Einstein, in 1952, David Bohm (1917-1992) developed this concept further and suggested a complete interpretation extended to incorporate a consistent theory of measurement, and also to address other criticisms of de Broglie’s original idea. The resulting De Broglie-Bohm interpretation is, therefore, both deterministic and realistic, since its concepts exist independently of the observer. Additionally, it is a hidden variable theory because the positions and momenta of the particle are considered to be the hidden variables. The observer doesn’t know the precise value of these variables, and also cannot know them with certainty. because any measurement must inevitably disturb the system.

Therefore, the pilot wave concept avoids many troublesome notions such as wave-particle duality, instantaneous wave-function collapse and the paradox of Schroedinger’s cat, but it introduces non-locality that is implicit in the non-relativistic formulation of Quantum Mechanics, and uses it to satisfy Bell’s theorem that introduced in 1964. However, these nonlocal effects can be shown to be compatible with the no-communication theorem, which prevents using them for superluminal communication, and so it is empirically compatible with the principles of Relativity.

More advanced Bohmian mechanics was later developed to include most of the further extensions past the spin-less version of Bohm. While de Broglie-Bohm theory has Lagrangians and Hamilton-Jacobi equations as a primary focus and backdrop, with the icon of the quantum potential, Bohmian mechanics considers the continuity equation as primary and has the guiding equation as its icon. They are mathematically equivalent in so far as the Hamilton-Jacobi formulation applies, i.e., spin-less particles. All of non-relativistic Quantum Mechanics can be fully accounted for in this theory.



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  • ... Monadology =>:

  • ... 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 ...


  • ... Physical Meaning =>:

  • ... ecause other orbs and all other physical and metaphysical entities have their own relative motion, or change, each have their own corresponding day. In other words, and as conclusion to the PHYSICAL MEANING pf these relative days, the minimum day, that corresponds to the indivisible moment ...


  • ... Metaphysical Entities =>:

  • ... arth, the whole world is re-created every day of Event, which is equal to the single Day that is the moment as we mentioned in section 4.3, but because other orbs and all other physical and METAPHYSICAL ENTITIES have their own relative motion, or change, each have their own corresponding d ...


  • ... Actual Motion =>:

  • ... ™, we now know today that this apparent motion is caused by the motion of the Earth and not those stars, but since we move with the Earth, we think that the stars are moving. Indeed the ACTUAL MOTION s of the orbs of stars have much longer periods, as is well known in modern astronomy. ...


  • ... Allah Caused =>:

  • ... calls the period for the full revolution of each particular orb: the day of that specific orb. In this way there are shorter days and longer days, depending on the relevant orb: ‘When Allah caused the isotropic orb to rotate ... and made its full cycle a complete day (the normal day) ...


  • ... Material Motion =>:

  • ... ine Name of Allah has its own Day. That is because every spirit and divine Name has effects on the world beneath it. So when they complete a full revolution around the world, without actual MATERIAL MOTION but with regard to their respective effects on every entity, then this is their Day. ...


  • ... Circumferential Orb =>:

  • ... erentiates between two kinds of motion of the celestial orbs: natural or intrinsic motion and forced or extrinsic motion: ‘The smallest Day is that which we count as the motion of the CIRCUMFERENTIAL ORB in whose day the night-time and day-time are manifest. This is the shortest day ...


  • ... World Beneath =>:

  • ... f the material orbs of stars and planets, Ibn al-Arabi adds that every spirit and every divine Name of Allah has its own Day. That is because every spirit and divine Name has effects on the WORLD BENEATH it. So when they complete a full revolution around the world, without actual material ...


  • ... Celestial Orbs =>:

  • ... much longer periods, as is well known in modern astronomy. Actually, Ibn al-Arabi, following the accepted cosmological theories of his day, differentiates between two kinds of motion of the CELESTIAL ORBS : natural or intrinsic motion and forced or extrinsic motion: ‘The smallest Day ...


  • ... Modern Astronomy =>:

  • ... Earth and not those stars, but since we move with the Earth, we think that the stars are moving. Indeed the actual motions of the orbs of stars have much longer periods, as is well known in MODERN ASTRONOMY . Actually, Ibn al-Arabi, following the accepted cosmological theories of his day, d ...


  • ... Equals Twenty =>:

  • ... calculated by Ibn al-Arabi’s approach to the Earth’s sidereal day, should be the sidereal lunar month, which is equal 27.3 days. But Ibn al-Arabi insists that the lunar month EQUALS TWENTY eight days exactly. Ibn al-Arabi made it clear in several places in his Meccan Revelat ...


  • ... Large Distance =>:

  • ... places in his Meccan Revelations [I.141.17, III.549.3] and other books that the fixed stars are not actually fixed at all, but that we can’t notice their motion from Earth due to the LARGE DISTANCE , because our age is too short to notice their motion despite their very high speed, a ...


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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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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!
Ibn al-Arabi [The Meccan Revelations: III.546.16 - tans. Mohamed Haj Yousef]
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