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]
As we noted above, it was originally shown by Poincare(Poincaré, 1906) that by using the mathematical trick of imaginary time, Lorentz transformation becomes a rotation between inertial frames. For example, if the space coordinates of an event in space-time relative to one frame are , then its (primed) coordinates with respect to another frame, that is moving with uniform velocity with respect to the first frame, are: , where , and since: , then: .
In the complex-time frame of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitutes space, thus the time coordinates: is used instead of space coordinates: . Therefore, the above rotation equations will still be valid but with time, rather than space, coordinates: , and then the speed of creation will be the ground state, or the rest speed, so when the apparent imaginary velocity on the outer time is zero there is still the real speed that is the constant and invariant speed of creation, or in general: . See also Figure 5, and also Figure 6.1.
Using the concept of split-complex time, we can easily derive Lorentz factor for example by calculating the proper time as it can be readily seen from Figure 5, which is replicated in Figure 6.1 that represents complex velocity, for better clarity, and also because we want to stress the fact that the apparent (imaginary) motion in any direction is in fact interrupting the real motion in the inner time that is re-creating space at the absolute speed of light, so that in the end the actual velocity is always smaller than : , which means that everything in space is intrinsically moving at the absolute speed of light in the real flow of time, and its apparent motion in the outward time is causing an apparent (or imaginary) slow down from this real speed, so that when the object is not moving at all it is actually still moving at the absolute speed of light, which becomes zero in relation to other stationary objects because they are all moving at this same real speed.
Figure 2: The actual velocity is the modulus of split-complex velocity that combines the real speed with the imaginary velocity , thus: , from which we can easily calculate Lorentz factor as .
Lorentz factor is therefore the ratio of the real velocity over the actual velocity , which is equal , as demonstrated in Figure 6.1:
(6)
... 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 ...
... and Its Consequences on General Relativity and Quantum Mechanics by Mohamed Haj Yousef [ PDF Download ] Search Inside this Book 6.1. Lorentz Transformations: As we noted above, it was ORIGINALLY SHOWN by Poincare(Poincaré, 1906) that by using the mathematical trick of imaginary time ...
... In the complex-time frame of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary part, while the real part is the inner time that constitutes space, thus the TIME COORDINATES : is used instead of space coordinates: . Therefore, the above rotation equations ...
... e , then its (primed) coordinates with respect to another frame, that is moving with uniform velocity with respect to the first frame, are: , where , and since: , then: . In the complex- TIME FRAME of the Duality of Time postulate, however, the outer time is the (genuinely) imaginary pa ...
... ant speed of creation, or in general: . See also Figure 5, and also Figure 6.1. Using the concept of split-complex time, we can easily derive Lorentz factor for example by calculating the PROPER TIME as it can be readily seen from Figure 5, which is replicated in Figure 6.1 that repres ...
... is still the real speed that is the constant and invariant speed of creation, or in general: . See also Figure 5, and also Figure 6.1. Using the concept of split-complex time, we can easily derive Lorentz factor for example by calculating the proper time as it can be readily seen from ...
... s by Mohamed Haj Yousef [ PDF Download ] Search Inside this Book 6.1. Lorentz Transformations: As we noted above, it was originally shown by Poincare(Poincaré, 1906) that by using the MATHEMATICAL TRICK of imaginary time, Lorentz transformation becomes a rotation between inertial fra ...
... y, for better clarity, and also because we want to stress the fact that the apparent (imaginary) motion in any direction is in fact interrupting the real motion in the inner time that is re- CREATING SPACE at the absolute speed of light, so that in the end the actual velocity is always smal ...
... he speed of creation will be the ground state, or the rest speed , so when the apparent imaginary velocity on the outer time is zero there is still the real speed that is the constant and INVARIANT SPEED of creation, or in general: . See also Figure 5, and also Figure 6.1. Using the conc ...
... this same real speed. Figure 2: The actual velocity is the modulus of split-complex velocity that combines the real speed with the imaginary velocity , thus: , from which we can EASILY CALCULATE Lorentz factor as . Lorentz factor is therefore the ratio of the real vel ...
... there is still the real speed that is the constant and invariant speed of creation, or in general: . See also Figure 5, and also Figure 6.1. Using the concept of split-complex time, we can EASILY DERIVE Lorentz factor for example by calculating the proper time as it can be readily see ...
... that in the end the actual velocity is always smaller than : , which means that everything in space is intrinsically moving at the absolute speed of light in the real flow of time, and its APPARENT MOTION in the outward time is causing an apparent (or imaginary) slow down from this real s ...
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".
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