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Top Pages Related to: Inertial Frame

  • => Einstein Mass-Energy Equivalence
  • ... this notion of re-creation, or dual-state velocity, is able to explain at once all the three postulates of Special Relativity: the mass-energy equivalence, the invariance of physics laws in inertial frames, and the constancy of the speed of light, in addition to explaining the nature and c ...


  • => THE DOT POSTULATE - 6.4.  Complex Energy
  • ... fective mass:  due to motion, which causes the real part of energy  also to change accordingly, but since  is hyperbolic, thus its modulus  remains invariant between all inertial or non-inertial frames. This means that:                                 ...


  • => THE DOT POSTULATE - 1.  Abstract:
  • ... on-Euclidean space-time continuum is the first global approximation of this complex-time space in which the (complex) momentum and energy become invariant between different inertial and non-inertial frames alike. Therefore, in addition to Lorentz transformation, the equivalence principle i ...


  • => The Complex-Time Frame
  • ... as a rotation in the imaginary plane, but it will be shown in section 2 below that under the new Euclidean complex-time frame, Lorentz transformations will be valid between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time imp ...


  • => ULTIMATE SYMMETRY - I.1 Normal Symmetry and Classical Physics
  • ... e cell.   Although it was not so clearly noticed until the beginning of 20th century, symmetry was also important in Classical Mechanics, for example in the principle of equivalence of inertial frames, or the Galilean invariance. It was later discovered by Noether, symmetry always lea ...


  • => ULTIMATE SYMMETRY - I.4.3 The Duality of Time Postulate
  • ... rated how this single postulate leads at the same time to all the three principles of Special and General Relativity together, since there is no more any difference between inertial and non-inertial frames, because the instantaneous velocity in the imaginary time is always zero , whether t ...


  • => DUALITY OF TIME - 1.3.3  The Speed of Light
  • ... of time they can be easily calculated form the basic principles of Classical Mechanics. The second principle of Special Relativity, which says that the laws of physics are invariant between inertial frames, and the equivalence principle that lead to General Relativity, are not needed anymo ...


  • => ULTIMATE SYMMETRY - III.1.1 Symmetry in Special Relativity
  • ... y transform under the trivial representation. This can also be generalized to equations, which can be Lorentz covariant if they can be written in terms of such quantities, which hold in all inertial frames.       Read Other Books: The Single Monad Model of the Cosmos: Ibn Ar ...


  • => DUALITY OF TIME - 3.2.2  Lorentzian Transformation
  • ... tivity, and derived Lorentz transformations without any reference to aether. Any event in space-time is specified by its three Cartesian coordinates and time . The same event in any another inertial frame, moving at a constant speed with relation to the observer, has the “primed†...


  • => DUALITY OF TIME - 5.3.2  Deriving Lorentz Factor
  • ... Book 5.3.2  Deriving Lorentz Factor It was originally shown by Poincaré 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 fra ...


  • => THE DOT POSTULATE - 6.1.  Lorentz Transformations:
  • ... mations:   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 fra ...


  • => TIME CHEST - 3.3.2 The Dynamic Creation of Dimensions
  • ... lex representation, Lorentz transformation becomes a rotation, as it was originally shown by Poincaré Poincaré (1906), but now this now applies to transformations between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time imp ...


  • => TIME CHEST - 3.4 General Relativity and Hyper Symmetry
  • ... nsformations. Minkowski combined time with the three-dimensional Euclidean space into a four-dimensional manifold, where the space-time interval between any two events is independent of the inertial frame of reference in which they are recorded. Minkowski initially developed his space for ...


  • => ULTIMATE SYMMETRY - III.1.6 Lorentz Transformations
  • ... I.1.6 Lorentz Transformations As we noted above, it was originally shown by Poincar 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 fra ...


  • => ULTIMATE SYMMETRY - III.3.1 Complex Energy
  • ... bsp;due to motion, which causes the real part of energy  also to change accordingly, but since  is hyperbolic, thus its modulus  remains invariant between all inertial or non-inertial frames. This means that:    (3.22)   This equation provides even an addition ...


  • => THE DOT POSTULATE - 4.  A Brief General Analysis:
  • ... ion 7 how this single postulate leads at the same time to all the three principles of Special and General Relativity together, since there is no more any difference between inertial and non-inertial frames, because the instantaneous velocity in the imaginary time is always “zero”, whet ...


  • => DUALITY OF TIME - 2.16.3  The Three Laws of Motion
  • ... ple that 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-t ...


  • => THE DOT POSTULATE - 6.  Deriving the Principles of Special and General Relativity:
  • ... (Haj Yousef, 2018). This momentous conclusion means that all frames are effectively at rest in the normal (imaginary) level of time, and there is no difference between inertial and non-inertial frames, thus there is even no need to introduce the second principle of Special Relativity ...


  • => ULTIMATE SYMMETRY - III.1.2 Symmetry in General Relativity
  • ... General Relativity In moving from Special to General Relativity, Einstein observed the equivalence between the gravitational force and the inertial force experienced by an observer in a non-inertial frame of reference. This is the same as the equivalence between active gravitational mass a ...


  • => TIME CHEST - Chapter 3: Complex-Time Geometry and Ultimate Symmetry
  • ... lar space, and Quantum Mechanics is a natural consequence with fully logical interpretation, and we can already notice straightaway that there would be no difference between inertial or non-inertial frames since all frames are effectively at rest in the normal (imaginary) level of time. In ...


  • => ULTIMATE SYMMETRY - I.1.2 Symmetry in Electromagnetism
  • ... waves, X-rays, infrared and gamma rays. After introducing Special Relativity, Einstein recognized that Maxwell s equations are covariant with respect to the Lorentz transformations between inertial frames of reference. This means that the set of transformations of the space-time coordinat ...


  • => ULTIMATE SYMMETRY - IV.4.2 General Relativity Approximation
  • ... ransformations become rotations in the imaginary plane, and according to the new discrete symmetry of the time-time frame, this transformation will be equally valid between inertial and non-inertial frames alike, because the dynamic relation between the real and imaginary parts of time imp ...



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    • ... Single Monad Model =>:

    • ... tion of the mass-energy equivalence relation that is not possible within the current theories without introducing some approximation or induction.       Read Other Books: The SINGLE MONAD MODEL of the Cosmos: Ibn Arabi's View of Time and Creation The Duality of Time Theory: ...


    • ... Duality Of Time =>:

    • ... theory, and indeed the whole of physics, is really defined in the Euclidean region and that it is simply a consequence of our perception that we interpret it in the Lorentzian regime. . The DUALITY OF TIME explains exactly that the source of this deceptive perception is the fact that we do ...


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    • ... Special Relativity =>:

    • ... antum Gravity by Mohamed Haj Yousef Search Inside this Book IV.4.2 General Relativity Approximation The representation of space-time with imaginary time was used in the early formulation of SPECIAL RELATIVITY , by Poincar , and even Minkowski, but because there were no substantial reasons t ...


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    • ... se, being inside the Universe, observers are trying to fit the surrounding infinite spatial dimensions in one instance of time, which would have been possible only if they are moving at the speed of light, or faster, and in this case a new spatial dimension is formed and the Universe would ...


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    • ... anscendence 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 ...


    • ... Supersymmetry =>:

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    Welcome to the Single Monad Model of the Cosmos and Duality of Time Theory
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    I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!

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