ULTIMATE SYMMETRY:
Fractal Complex-Time and Quantum Gravity
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III.2.8 Method III (the total
relativistic energy):
The total relativistic energy in equation 3.11 can also
be obtained by integrating the starting equation 3.6 over the inner and outer
time together, since in the inner time the rest energy , or
mass , is
generated at the speed of creation as a result of the instantaneous coupling
between the geometrical points which constitute the particle of mass (thus
and in the
inner time), and in the outer time the kinetic energy is
generated as this mass moves
gradually so its apparent velocity changes by , which corresponds to
increasing the effective mass from to , thus we can
integrate:
(3.13)
Thus we get the same equation 3.11:
(3.14)
This equation can also be given in the general form that
relates the relativistic energy and momentum:
(3.15)
This last equation, that is equivalent to equation 3.14,
will be also derived in section III.2.9 starting from the definition of
momentum as , but
because it is genuinely complex, and hyperbolic, the imaginary part of momentum
will have negative contribution just as we 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 derivations in the
literature rely on the effective mass relation: , which
is equivalent to the same relation we are trying to derive (see above), while
finding this equation from the four-momentum expression, or space-time
symmetry, relies on induction rather than rigorous mathematical formulation.
... 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 ...
... egrating the starting equation 3.6 over the inner and outer time together, since in the inner time the rest energy , or mass , is generated at the speed of creation as a result of the INSTANTANEOUS COUPLING between the geometrical points which constitute the particle of mass (t ...
... equation, that is equivalent to equation 3.14, will be also derived in section III.2.9 starting from the definition of momentum as , but because it is genuinely complex, and hyperbolic, the IMAGINARY PART of momentum will have negative contribution just as we have seen for the outer time w ...
... nbsp;as a result of the instantaneous coupling between the geometrical points which constitute the particle of mass (thus and in the inner time), and in the outer time the KINETIC ENERGY is generated as this mass moves gradually so its apparent velocity change ...
... s which constitute the particle of mass (thus and in the inner time), and in the outer time the kinetic energy is generated as this mass moves gradually so its APPARENT VELOCITY changes by , which corresponds to increasing the effective mass from to , th ...
... ent to the same relation we are trying to derive (see above), while finding this equation from the four-momentum expression, or space-time symmetry, relies on induction rather than rigorous MATHEMATICAL FORMULATION . Read Other Books: The Single Monad Model of the Cosmo ...
... over the inner and outer time together, since in the inner time the rest energy , or mass , is generated at the speed of creation as a result of the instantaneous coupling between the GEOMETRICAL POINTS which constitute the particle of mass (thus and in the inner ti ...
... : (3.15) This last equation, that is equivalent to equation 3.14, will be also derived in section III.2.9 starting from the definition of momentum as , but because it is GENUINELY COMPLEX , and hyperbolic, the imaginary part of momentum will have negative contribution ju ...
... 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 ...
... rely on the effective mass relation: , which is equivalent to the same relation we are trying to derive (see above), while finding this equation from the four-momentum expression, or space- TIME SYMMETRY , relies on induction rather than rigorous mathematical formulation. &nbs ...
... .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 DERIVATIONS in the literature rely on the effective mass relation: , which is equivalent to ...
... ion 3.14, will be also derived in section III.2.9 starting from the definition of momentum as , but because it is genuinely complex, and hyperbolic, the imaginary part of momentum will have NEGATIVE CONTRIBUTION just as we have seen for the outer time when we discussed the arrow of time in ...
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.
