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Ultimate Symmetry

Fractal Complex-Time and Quantum Gravity

Mohamed Haj Yousef

III.2.3 Method II (generating mass in the inner time):

We explained in section III.3.3 above how the Duality of Time Theory provides a fundamental mass generation mechanism in addition to its super-fluid vacuum state where mass can be generated via the interaction with this physical vacuum. Hence we can also arrive to the mass-energy equivalence relation directly from the starting equation 3.6 in an alternative manner if we consider a sudden decoupling, or disentanglement, of the geometrical points that couple together in order to constitute the physical particle that appears in the outer level of time with inertial mass  moving at an apparent (imaginary) velocity , so when these geometrical points are disentangled to remain at their real speed (of light), the mass  converts back into energy  while the apparent velocity does not change, because this process is happening in the inward levels of time which appears outwardly as instantaneous. Thus, if we put  in equation 3.6 and integrate over mass from  to zero (where ), or vice versa, we get:

 

 (3.10)

 

Unlike the classical case in equation 3.8 where the change in speed occurs in the normal outward level of time, these simple derivations (in equations 3.9 and 3.10) would not have been possible without considering the inner levels of time, which appears outwardly as instantaneous.

 

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