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Particle-Wave Duality: from Time Confinement to Space Transcendence

by Mohamed Haj Yousef



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3.3.6 The Source of Uncertainty


If we suppose the particle is composed of N individual geometrical points, or monads, each of which is an instance of the Single Monad, then these points are created internally at the speed of light in the real flow of time, and appear to be collectively moving in the outward imaginary time at the limited speed v; thus the particle is described by (c, v). The total kinetic velocity of the particle v is the time average of the velocities of all individual points, each of which is either at rest or moving at the speed of light at the particular single instance of the time of measurement.

Therefore, in an object or particle of N individual points, because only one point actually exists in the real flow of time on the inner level of perpetual creation, the position of this point is completely undetermined, because its velocity is equal to c, while the rest have been already defined, because they are now in the past, and their velocities had been sequentially and abruptly collapsed from c to zero, after they had made their corresponding specific contribution to the total quantum state which defines the position of the object with relation to the observer.

When the number N is very large, as it is the case with large objects and heavy particles, the uncertainty will be very small, because only one point is completely uncertain at the real instance of time. But for small particles, such as the electron, the uncertainty could be considerably large, because it is inversely proportional to N.

This uncertainty in position will also increase with (the imaginary) velocity v, or momentum p=mv, with relation to the observer, because higher velocity means that on average more and more points are becoming in the real motion, at c, rather than rest. So the number of monads is actually the number of discrete states at the time of measurement with relation to a stationary observer. This number decreases as the object accelerates, because the states that are at c are indistinguishable, so the number N tends to one when velocity tends to c, in which case the momentum will be defined at mc but the uncertainty in position becomes 100%, so all the states will overlap until they become completely indistinguishable as in the case of Bose-Einstein statistics as we have seen in the previous section. When the mass tends to infinity, the number of states tends infinity too, and the uncertainty becomes in position zero, which describes a singularity in space-time geometry, but in that case the momentum, or energy, will be completely undefined.



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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 ...


  • ... Outward Imaginary =>:

  • ... onads, each of which is an instance of the Single Monad, then these points are created internally at the speed of light in the real flow of time, and appear to be collectively moving in the OUTWARD IMAGINARY time at the limited speed v ; thus the particle is described by (c, v) . The total ...


  • ... Large Objects =>:

  • ... orresponding specific contribution to the total quantum state which defines the position of the object with relation to the observer. When the number N is very large, as it is the case with LARGE OBJECTS and heavy particles, the uncertainty will be very small, because only one point is com ...


  • ... Completely Indistinguishable =>:

  • ... er N tends to one when velocity tends to c , in which case the momentum will be defined at mc but the uncertainty in position becomes 100% , so all the states will overlap until they become COMPLETELY INDISTINGUISHABLE as in the case of Bose-Einstein statistics as we have seen in the previ ...


  • ... Number Decreases =>:

  • ... coming in the real motion, at c , rather than rest. So the number of monads is actually the number of discrete states at the time of measurement with relation to a stationary observer. This NUMBER DECREASES as the object accelerates, because the states that are at c are indistinguishable, ...


  • ... Stationary Observer =>:

  • ... ore and more points are becoming in the real motion, at c , rather than rest. So the number of monads is actually the number of discrete states at the time of measurement with relation to a STATIONARY OBSERVER . This number decreases as the object accelerates, because the states that are at ...


  • ... Inversely Proportional =>:

  • ... small, because only one point is completely uncertain at the real instance of time. But for small particles, such as the electron, the uncertainty could be considerably large, because it is INVERSELY PROPORTIONAL to N . This uncertainty in position will also increase with (the imaginary) v ...


  • ... Higher Velocity =>:

  • ... arge, because it is inversely proportional to N . This uncertainty in position will also increase with (the imaginary) velocity v , or momentum p=mv , with relation to the observer, because HIGHER VELOCITY means that on average more and more points are becoming in the real motion, at c , r ...


  • ... Kinetic Velocity =>:

  • ... the speed of light in the real flow of time, and appear to be collectively moving in the outward imaginary time at the limited speed v ; thus the particle is described by (c, v) . The total KINETIC VELOCITY of the particle v is the time average of the velocities of all individual points, e ...


  • ... Total Kinetic =>:

  • ... ly at the speed of light in the real flow of time, and appear to be collectively moving in the outward imaginary time at the limited speed v ; thus the particle is described by (c, v) . The TOTAL KINETIC velocity of the particle v is the time average of the velocities of all individual poi ...


  • ... Limited Speed =>:

  • ... tance of the Single Monad, then these points are created internally at the speed of light in the real flow of time, and appear to be collectively moving in the outward imaginary time at the LIMITED SPEED v ; thus the particle is described by (c, v) . The total kinetic velocity of the parti ...


  • ... Collectively Moving =>:

  • ... al geometrical points, or monads, each of which is an instance of the Single Monad, then these points are created internally at the speed of light in the real flow of time, and appear to be COLLECTIVELY MOVING in the outward imaginary time at the limited speed v ; thus the particle is desc ...


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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


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My soul is from elsewhere, I'm sure of that, and I intend to end up there.
Jalaluddin Rumi [The Essential Rumi - trns. Coleman Barks]
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