DUALITY OF TIME:
Complex-Time Geometry and Perpetual Creation of Space
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3.2.1 Galilean Transformation
Galileo had already postulated that there is no privileged reference frames. Frames which are moving with constant speeds, relative to the observer, are equivalent. This principle is called Galileo’s principle of relativity. The Galilean transformations are used to transform between the coordinates of two reference frames which differ only by constant relative motion with velocity
. For simplicity we consider that motion is only on the
axis, so that the other two axes are unaffected (
,
), while
and
are related by the following equation:
(3.1)
In these equations, the primed parameters denote a reference frame that moves at constant speed
relative to the stationary unprimed frame. The frames overlap at time
, and both frames agree on the value of
forever.
Galileo formulated these concepts in his description of uniform motion. These transformations together with spatial rotations and translations in space and time form the inhomogeneous Galilean group. Without the translations in space and time the group is the homogeneous Galilean group. The Galilean group is the group of motions of Galilean relativity action on the four dimensions of space and time, forming the Galilean geometry.
When we combine these transformations with the principle of the constancy of the speed of light, we can derive the Lorentzian transformations which led to Special Relativity. By using Lorentz transformations (described in section 2.2), Einstein extended Galileo’s principle so that it accounted for the constant and invariant speed of light, and he also postulated that it holds for all the laws of physics, including both the laws of mechanics and electrodynamics.
Therefore, Galilean relativity is an approximation of Special Relativity that is valid for low speeds, while Special Relativity is an approximation of General Relativity that is valid for weak gravitational fields. As we shall see in section 3, General Relativity incorporates non-Euclidean geometry in order to represent gravitational effects as the geometric curvature of space-time, while Special Relativity is restricted to the flat space-time known as Minkowski space, described in section 2.3.
... 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 ...
... ry and Perpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 3.4.5.2 Pilot Wave Theory As we mentioned in section 4.4.1, Louis de Broglie proposed in 1924 that all MATTER PARTICLE s have the nature of waves, which was confirmed after three years with experiments on ...
... ich was confirmed after three years with experiments on electrons diffraction. In 1927, De Broglie then proposed a new concept to explain this weird behavior, the pilot wave theory in which PHYSICAL PARTICLES are associated with waves which evolve according to the Schroedinger equation. Af ...
... 1927, De Broglie then proposed a new concept to explain this weird behavior, the pilot wave theory in which physical particles are associated with waves which evolve according to the Schroe DINGER EQUATION . After close collaboration, Schroedinger developed his wave equation for de Broglieà ...
... th certainty. because any measurement must inevitably disturb the system. Therefore, the pilot wave concept avoids many troublesome notions such as wave-particle duality, instantaneous wave- FUNCTION COLLAPSE and the paradox of Schroedinger’s cat, but it introduces non-locality that ...
... on. In 1927, De Broglie then proposed a new concept to explain this weird behavior, the pilot wave theory in which physical particles are associated with waves which evolve according to the Schroedinger equation. After close collaboration, Schroedinger developed his wave equation for de Br ...
... ich was confirmed after three years with experiments on electrons diffraction. In 1927, De Broglie then proposed a new concept to explain this weird behavior, the pilot wave theory in which PHYSICAL PARTICLE s are associated with waves which evolve according to the Schroedinger equation. Af ...
... nd realistic, since its concepts exist independently of the observer. Additionally, it is a hidden variable theory because the positions and momenta of the particle are considered to be the HIDDEN VARIABLES . The observer doesn’t know the precise value of these variables, and also ca ...
... equation as primary and has the guiding equation as its icon. They are mathematically equivalent in so far as the Hamilton-Jacobi formulation applies, i.e., spin-less particles. All of non-relativistic Quantum Mechanics can be fully accounted for in this theory. Read Other B ...
... ry and Perpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 3.4.5.2 Pilot Wave Theory As we mentioned in section 4.4.1, Louis de Broglie proposed in 1924 that all MATTER PARTICLES have the nature of waves, which was confirmed after three years with experiments on ...
... ry and Perpetual Creation of Space by Mohamed Haj Yousef Search Inside this Book 3.4.5.2 Pilot Wave Theory As we mentioned in section 4.4.1, Louis de Broglie proposed in 1924 that all MATTER PART icles have the nature of waves, which was confirmed after three years with experiments on ...
... avior, the pilot wave theory in which physical particles are associated with waves which evolve according to the Schroedinger equation. After close collaboration, Schroedinger developed his WAVE EQUATION for de Broglie’s theory. Therefore, each particle follows a deterministic traje ...
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.
