=> THE DOT POSTULATE - Contents... inner time): Note I (relativistic mass): Note II (the mass-energy duality): Note III (the effective mass): Method III (the total relativistic energy): Method IV (complex momentum and energy-momentum relation) 6.3. The Equivalence Principle of General Relativity 6.4. Complex Energy 7. ...
=> DUALITY OF TIME - 5.3.3.8 Relativistic Mass... ndamental method from Relativity, other than being similar to the time dilation and length contraction: , . Using the same equation with ; thus: , we can also derive the relativistic energy-momentum relation, by squaring and doing some modifications: (5.20) From this equation we get: (5.21 ...
=> DUALITY OF TIME - Contents... s 5.3.3.5 Wave-Particle Duality 5.3.3.6 Effective Mass 5.3.3.7 Method III (from the Definition of Momentum) 5.3.3.8 Relativistic Mass 5.3.4 Relativistic Energy-Momentum Relation 5.3.5 Equivalence Principle 5.3.6 Negative and Multidimensional Energy ...
=> ULTIMATE SYMMETRY - III.3 Equivalence Principle and General
Relativity... effective mass changes from to , thus we get , since: (3.19) Therefore, in addition to the previous methods in equations 3.9 and 3.10, and the relativistic energy-momentum relation in equation 3.18, the mass-energy equivalence relation: can now be deduced f ...
=> ULTIMATE SYMMETRY - III.2.8 Method III (the total
relativistic energy):... e have seen for the outer time when we discussed the arrow of time in section II.4.2 above. Again, however, this fundamental derivation of equation 3.15, which gives the relativistic energy-momentum relation, is not possible without the Duality of Time postulate. All the current derivation ...
=> ULTIMATE SYMMETRY - III.2.2 Method I (abrupt change of
speed in the inner time):... LTIMATE SYMMETRY: Fractal Complex-Time and Quantum Gravity by Mohamed Haj Yousef Search Inside this Book III.2.2 Method I (abrupt change of speed in the inner time): The relativistic energy-momentum relation is derived in section III.2.9 further below, but the simple mass-energy equivalenc ...
=> ULTIMATE SYMMETRY - III.2 Space-Time Diffeomorphism and
Mass-Energy Equivalence... rd method, in section III.2.8, gives the total relativistic energy , by integrating over the inner and outer levels together, while in section III.2.9 we will derive the relativistic energy-momentum relation directly from the definition of momentum as , also by integrating over the inner a ...
=> ULTIMATE SYMMETRY - Contents... c mass): III.2.6 Note III (the mass-energy duality): III.2.7 Note IV (the effective mass): III.2.8 Method III (the total relativistic energy): III.2.9 Method IV (complex momentum and energy-momentum relation) III.3 Equivalence Principle and General Relativity III.3.1 Complex Energy III.3.2 ...
=> THE DOT POSTULATE - 9. Appendix: Deducing 
 from 
:... rent Relativity, other than being analogous to the equations of time dilation and length contraction: , . Using the same equation  with ; thus: , we can also derive the relativistic energy-momentum relation, by squaring and applying some modifications:                ...
=> THE DOT POSTULATE - 6.3. The Equivalence Principle of General Relativity...              (21) Since this previous equation 21 is equivalent to: , therefore, in addition to the previous methods in equations 11 and 12, and the relativistic energy-momentum relation in equation 20, the mass-energy equivalence relation:  can now be deduced from eq ...
=> THE DOT POSTULATE - Method I (abrupt change of speed in the inner time):... es on General Relativity and Quantum Mechanics by Mohamed Haj Yousef [ PDF Download ] Search Inside this Book Method I (abrupt change of speed in the inner time): Â The relativistic energy-momentum relation is derived in section 6.2.8 further below, but the simple mass-energy equivalence ...
=> THE DOT POSTULATE - 6.2. The Mass-Energy Equivalence Relation:... third method, in section 6.2.7, gives the total relativistic energy , by integrating over the inner and outer levels together, while in section 6.2.8 we will derive the relativistic energy-momentum relation directly from the definition of momentum as , also by integrating over the inner a ...
=> DUALITY OF TIME - 5.3.5 Equivalence Principle... part also to increase, but since is hyperbolic, thus its modulus remains invariant. Therefore, in addition to the previous two methods in equations 5.9 and 5.10, and the relativistic energy-momentum relation in equation 5.27, the mass-energy equivalence relation: can now be deduced from eq ...
=> DUALITY OF TIME - 5.3.4 Relativistic Energy-Momentum Relation... General Relativity and Quantum Mechanics ...
=> ULTIMATE SYMMETRY - III.2.9 Method IV (complex momentum and
energy-momentum relation)... eral Relativity and Quantum Mechanics ...
=> THE DOT POSTULATE - Method IV (complex momentum and energy-momentum relation)... lity of Time Postulate and Its Consequences on General Relativity and Quantum Mechanics by Mohamed Haj Yousef [ PDF Download ] Search Inside this Book Method IV (complex momentum and energy-momentum relation) Â The equation: , of the relativistic energy-momentum, can be also derived direc ...
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.
