DUALITY OF TIME:
Complex-Time Geometry and Perpetual Creation of Space
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2.5.7 Potential Infinity
Aristotle presented several criticisms of Zeno, but his most notable contribution was his concept of “potential infinity”. He says that he agrees that it is impossible for a thing to pass over an actually infinite number of things in a finite time, but that it is possible for a thing to pass over a “potentially infinite” number of things in a finite time: “For motion, although what is continuous contains an infinite number of halves, they are not actual but potential halves.” Barnes (2014).
Therefore, according to Aristotle, in the Achilles and Dichotomy paradoxes, Zeno made the mistake of discounting the fact that the physical long path from start to finish is finite and exists undivided, but it is the mathematician who is -by estimation- dividing it infinitely and demanding the physical completion of such an infinite process.
Similarly, using the same idea of time being divided only into a potential infinity of intervals, Aristotle tried to refute the Arrow Paradox by saying that “time is not composed of indivisible moments any more than any other magnitude is composed of indivisibles.” Barnes (2014).
The idea of “potential infinity” was a very clever idea by Aristotle, which convinced philosophers for many centuries, including George Berkeley, Immanuel Kant, Carl Friedrich Gauss, and Henri Poincaré who were influential defenders of potential infinity. Leibniz and other mathematicians and physicists, on the other hand, did not accept this distinction between actual and potential infinities. Bernard Bolzano and Georg Cantor view a potentially infinite set as a variable quantity that is dependent on being abstracted from a pre-existing actually infinite set, and they argued that “each potential infinite ... presupposes an actual infinite” Tannery (1885).
... 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 ...
... l frames alike. This critical idea will convert the concept of force into the dynamic space-time geometry that is equivalent to gravity. Unlike General Relativity, however, in the resulting GENUINELY COMPLEX -time geometry, gravity will be granular and Euclidean at the same time. The new qu ...
... avity, as it is the case in Special Relativity, which in turn reduces to this Newtonian laws for normal low speeds. As we noted in section 11, the laws of motion were clearly stated by many Muslim scholars more than seven centuries before Newton, but they were not formulated in mathematica ...
... opposite in direction on the first body. In these three laws, objects are considered as single point masses; ignoring their size and shape. The laws also hold only with respect to inertial REFERENCE FRAMES ; that are not moving with respect to the observer. The second law can also be state ...
... that the force corresponds to the time derivative of the momentum, which could change either in magnitude only, to produce acceleration, or in direction only, such is the case with uniform CIRCULAR MOTION , or both together. When the momentum does not change at all, the second law reduces ...
... n, that will be discussed in details in chapter V, momentum is always conserved for all inertial and non-inertial frames alike. This critical idea will convert the concept of force into the DYNAMIC SPACE -time geometry that is equivalent to gravity. Unlike General Relativity, however, in th ...
... aws for normal low speeds. As we noted in section 11, the laws of motion were clearly stated by many Muslim scholars more than seven centuries before Newton, but they were not formulated in MATHEMATICAL EQUATIONS . Ibn Malaka al-Baghdadi distinguished between velocity and acceleration, and ...
... is required to introduce General Relativity. According to this generalization, that will be discussed in details in chapter V, momentum is always conserved for all inertial and non-inertial FRAMES ALIKE . This critical idea will convert the concept of force into the dynamic space-time geome ...
... on-inertial frames alike. This critical idea will convert the concept of force into the dynamic space-time geometry that is equivalent to gravity. Unlike General Relativity, however, in the RESULTING GENUINELY complex-time geometry, gravity will be granular and Euclidean at the same time. ...
... ook 2.16.3 The Three Laws of Motion The Principia was published in 1687, with encouragement and financial help from Edmond Halley (1656-1742 AD). In this book, Newton stated the three UNIVERSAL LAWS of motion which describe the relationship between the object and the acting forces th ...
... sef Search Inside this Book 2.16.3 The Three Laws of Motion The Principia was published in 1687, with encouragement and financial help from Edmond Halley (1656-1742 AD). In this book, Newton stated the three universal laws of motion which describe the relationship between the object ...
... rpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 2.16.3 The Three Laws of Motion The Principia was published in 1687, with encouragement and financial help from Edmond Halley (1656-1742 AD). In this book, Newton stated the three universal laws of motion which d ...
The science of Time is a noble science, that reveals the secret of Eternity. Only the Elites of Sages may ever come to know this secret. It is called the First Age, or the Age of ages, from which time is emerging.
