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

by Mohamed Haj Yousef


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The classical kinetic energy (in the normal time):


 

In normal classical mechanics, the kinetic energy is the work done in accelerating a particle during the infinitesimal time interval , and it is given by the dot product of force  and displacement :

 

                                                (7)

 thus:

                                                                                                      (8)

 

Now if we assume mass to be constant, so that:  (and we will discuss relativistic mass further in section 6.2.4 below), we will get:

 

                                                                         (9)

 

So in the classical view of apparently continuous existence, when we consider both space and time to be real, i.e. when we consider an infinitesimally continuous and smooth change in speed from zero to , the result of this integration will give the standard equation that describes the kinetic energy of massive particles or objects moving in the normal level of time:

 

                                                                                                                        (10)

 

The reason why we are getting the factor of “half” in this equation is because the velocity increases gradually with time, which makes the integration equals the area of the triangle as demonstrated by the first arrow in Figure 6.2.1.

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Figure 3: Arrow 1: gradual change of speed in the outer level of time, leading to the classical equation of kinetic energy . Arrow 2: abrupt change from zero to  in the inward levels of time, leading to the mass-energy equivalence relation , which can not happen on the normal level of time because physical objects may not move at the absolute speed of light.

 

 

 



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Other Pages Related to Search Keywords:

  • ... 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 ...


  • ... Infinitesimally Continuous =>:

  • ...                       (9)   So in the classical view of apparently continuous existence, when we consider both space and time to be real, i.e. when we consider an INFINITESIMALLY CONTINUOUS and smooth change in speed from zero to , the result of this integration ...


  • ... Time Interval =>:

  • ... Inside this Book The classical kinetic energy (in the normal time):   In normal classical mechanics, the kinetic energy is the work done in accelerating a particle during the infinitesimal TIME INTERVAL , and it is given by the dot product of force  and displacement :          ...


  • ... Massive Particles =>:

  • ... when we consider an infinitesimally continuous and smooth change in speed from zero to , the result of this integration will give the standard equation that describes the kinetic energy of MASSIVE PARTICLES or objects moving in the normal level of time:                  ...


  • ... Relativistic Mass =>:

  • ...                                                       (8)   Now if we assume mass to be constant, so that:  (and we will discuss RELATIVISTIC MASS further in section 6.2.4 below), we will get:                  ...


  • ... Abrupt Change =>:

  • ... as demonstrated by the first arrow in Figure 6.2.1.   Figure 3: Arrow 1: gradual change of speed in the outer level of time, leading to the classical equation of kinetic energy . Arrow 2: ABRUPT CHANGE from zero to  in the inward levels of time, leading to the mass-energy equivalence re ...


  • ... Classical View =>:

  • ... ow), we will get:                                                                            (9)   So in the CLASSICAL VIEW of apparently continuous existence, when we consider both space and time to be real, ...


  • ... Absolute Speed =>:

  • ... from zero to  in the inward levels of time, leading to the mass-energy equivalence relation , which can not happen on the normal level of time because physical objects may not move at the ABSOLUTE SPEED of light.           Read Other Books: The Single Monad Model of ...


  • ... Gradual Change =>:

  • ... is because the velocity increases gradually with time, which makes the integration equals the area of the triangle as demonstrated by the first arrow in Figure 6.2.1.   Figure 3: Arrow 1: GRADUAL CHANGE of speed in the outer level of time, leading to the classical equation of kinetic ene ...


  • ... Objects Moving =>:

  • ... infinitesimally continuous and smooth change in speed from zero to , the result of this integration will give the standard equation that describes the kinetic energy of massive particles or OBJECTS MOVING in the normal level of time:                            ...


  • ... Classical Equation =>:

  • ... the integration equals the area of the triangle as demonstrated by the first arrow in Figure 6.2.1.   Figure 3: Arrow 1: gradual change of speed in the outer level of time, leading to the CLASSICAL EQUATION of kinetic energy . Arrow 2: abrupt change from zero to  in the inward levels of ...


  • ... Discuss Relativistic =>:

  • ...                                                            (8)   Now if we assume mass to be constant, so that:  (and we will DISCUSS RELATIVISTIC mass further in section 6.2.4 below), we will get:              ...


Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
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Message from the Author:

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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Because He loves beauty, Allah invented the World with ultimate perfection, and since He is the All-Beautiful, He loved none but His own Essence. But He also liked to see Himself reflected outwardly, so He created (the entities of) the World according to the form of His own Beauty, and He looked at them, and He loved these confined forms. Hence, the Magnificent made the absolute beauty --routing in the whole World-- projected into confined beautiful patterns that may diverge in their relative degrees of brilliance and grace.
paraphrased from: Ibn al-Arabi [The Meccan Revelations: IV.269.18 - trans. Mohamed Haj Yousef]
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