=> TIME CHEST - Chapter 3: Complex-Time Geometry and Ultimate Symmetry... re invariant between inertial frames, neither the equivalence principle that leads to General Relativity. These two principles, which are necessary to derive Lorentz factor and Einstein’s field equations, will follow directly from the complex-time geometry as we shall see further below. ...
=> DUALITY OF TIME - 3.2.3 Minkowski Space... alled Lorentz group, and it describes the classical and quantum setting for all non-gravitational physical phenomena, including: the kinematical laws of Special Relativity, Maxwell’s field equations in the theory of electromagnetism, the Dirac equation in the theory of the electron, ...
=> ULTIMATE SYMMETRY - III.1.5 Deriving the Principles of
Special and General Relativity... ariant between inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz transformations and Einstein s field equations, are implicit in the Duality of Time postulate and will follow directly from the res ...
=> DUALITY OF TIME - Contents... ogy 3.2.1 Galilean Transformation 3.2.2 Lorentzian Transformation 3.2.3 Minkowski Space 3.2.5 Poincaré Group 3.2.7 The Twin Paradox 3.3.2 Einstein Field Equations 3.3.3 Schwarzschild Solution 3.3.4 The FLRW Metric 3.3.5 Singulari ...
=> DUALITY OF TIME - Introduction: The Secret of Time... variant between inertial frames, neither the equivalence principle that leads to General Relativity. These two principles, which are necessary to derive Lorentz factor and Einstein’s field equations, will follow directly from the complex-time geometry as it will be explained and der ...
=> DUALITY OF TIME - 3.3.7 Cosmological Constant... of Space by Mohamed Haj Yousef Search Inside this Book 3.3.7 Cosmological Constant In 1917, in order to make the Universe static, Einstein first added the cosmological constant to his field equations, so that the attraction of matter may balance the cosmological constant repulsion . ...
=> DUALITY OF TIME - 5.2.4 The Arrow of Time... invariant between inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz boost and Einstein’s field equations, will follow directly from the complex-time geometry as it will be shown in sections ...
=> DUALITY OF TIME - 1.3.3 The Speed of Light... rtial frames, and the equivalence principle that lead to General Relativity, are not needed anymore. These two principles, which are necessary to derive Lorentz factor and Einstein’s field equations, will follow directly from the complex-time geometry, in addition exact mathematical ...
=> DUALITY OF TIME - 1.3.6 Cosmological Constant Problem... of Space by Mohamed Haj Yousef Search Inside this Book 1.3.6 Cosmological Constant Problem In order to make the Universe static, Einstein first added the cosmological constant to his field equations so that the positive attraction of matter may balance the cosmological constant repu ...
=> ULTIMATE SYMMETRY - III.1.1 Symmetry in Special Relativity... ime is called Lorentz group, which describes the classical and quantum setting for all non-gravitational physical phenomena, including: the kinematical laws of Special Relativity, Maxwell s field equations in the theory of electromagnetism, the Dirac equation in the theory of the electron, ...
=> DUALITY OF TIME - 3.3.5 Singularities and Black Holes... he theory and not just an exotic special case. The Schwarzschild solution, taken to be valid for all , is called a Schwarzschild black hole. It is a perfectly valid solution of the Einstein field equations, although it has some rather bizarre properties. For the Schwarzschild radial coordi ...
=> ULTIMATE SYMMETRY - II.1.1 Gauge Symmetry... was already included in Maxwell s equations even before the advent of Quantum Mechanics, but its importance remained unnoticed in the earliest formulations. Hilbert also derived Einstein s field equations by postulating a symmetry under changing the coordinates. After the development of Q ...
=> TIME CHEST - 3.4.1 Deriving the Principles of Special and
General Relativity... iant between inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz transformations and Einstein’s field equations, are implicit in the Duality of Time postulate and will follow directly from the res ...
=> Deriving the Principles of Special and general Relativity based on the Duality of Time Theory... ariant between inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz transformations and Einstein's field equations, are implicit in the Duality of Time postulate and will follow directly from the res ...
=> DUALITY OF TIME - 3.3.3 Schwarzschild Solution... Inside this Book 3.3.3 Schwarzschild Solution After less than one year of their publication, Karl Schwarzschild (1873-1916) found the first non-trivial exact solution to the Einstein Field Equations. This solution is commonly called as the Schwarzschild metric, which laid the ground ...
=> The the Cosmological Constant Problems Based on the Duality of Time Theory... Please also check the related problems of Dark Matter and Dark Energy . As we noted in section 3, in order to make the Universe static, Einstein first added the cosmological constant to his field equations so that the attraction of matter may balance the cosmological constant repulsion. Th ...
=> THE DOT POSTULATE - 6. Deriving the Principles of Special and General Relativity:... iant between inertial frames) neither the equivalence principle that lead to General Relativity. These two principles, which are necessary to derive Lorentz transformations and Einstein’s field equations, are implicit in the Duality of Time postulate and will follow directly from the res ...
=> TIME CHEST - 3.4.3 Space-Time Diffeomorphism and
Mass-Energy Equivalence... of the action, which is usually assumed to be a functional of the metric and matter fields. In General Relativity, space-time symmetries are used in studying exact solutions of Einstein’s field equations, and they are different from internal symmetries. For example, the role of spherical ...
=> DUALITY OF TIME - 5.3.5 Equivalence Principle... curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section 3.3 above that an exact derivation of the mass-energy equiv ...
=> THE DOT POSTULATE - 6.3. The Equivalence Principle of General Relativity... curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section 6.2 above that an exact derivation of the mass-energy equiv ...
=> ULTIMATE SYMMETRY - III.3 Equivalence Principle and General
Relativity... curved geometry of space-time, which is directly related to its contents of energy and momentum of matter and radiation, through a system of partial differential equations known as Einstein field equations. We explained in section III.2 above that an exact derivation of the mass-energy equ ...
=> ULTIMATE SYMMETRY - III.1.4 Space-Time Symmetries and
Diffeomorphisms... Mohamed Haj Yousef Search Inside this Book III.1.4 Space-Time Symmetries and Diffeomorphisms In General Relativity, space-time symmetries are used in studying exact solutions of Einstein s field equations, and they are different from internal symmetries. For example, the role of spherical ...
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.
