DoT: The Duality of Time Postulate

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1. 1. Abstract:

   … approximation of this complex-time space in which the (complex) momentum and energy become invariant between different inertial and non-inertial frames alike. Therefore, in addition to Lorentz transformation, the equivalence prin …

2. 4. A Brief General Analysis:

   … her the object is accelerating or not! This also means that both momentum and energy will be “complex” and “invariant” between all frames, as we shall discuss further in sections 6.3 and 6.4 below. Henceforth, this genuinely-compl …

3. 5.1. The Genuinely-Complex Time-Time Frame:

   … treme state which may be achieved when the apparent velocity, or momentum, becomes absolutely zero, both as the object’s total velocity and any vector velocities of its constituents, and this corresponds to absolute zero temperatu …

4. 5.2. The Two Arrows of Time:

   … ect to the real flow of time, will be inherited by the velocity, momentum and even energy; all of which will be similarly negative in relation to their real counter part. It is this fundamental property that will enable the deriva …

5. 5.3. General Relativity Approximation:

   … omatically obtain Lorentz transformations, equally for velocity, momentum and energy (which will become also complex, as explained further in sections 6.3 and 6.4), without the need for introducing the principle of invariance of p …

6. 6.2. The Mass-Energy Equivalence Relation:

   … r, 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 and outer levels together and accounting for what happens in each …

7. Method I (abrupt change of speed in the inner time):

   The relativistic energy-momentum relation is derived in section 6.2.8 further below, but the simple mass-energy equivalence relation: (without the “half”) can now be easily obtained from the same integration in equation 9 if, and …

8. Method III (the total relativistic energy):

   … ven in the general form that relates the relativistic energy and momentum (see 9 for how to convert between these two equations): (17) This last equation, that is equivalent to equation 16, will be also derived in section 6.2.8 st …

9. Method IV (complex momentum and energy-momentum relation)

   The equation: , of the relativistic energy-momentum, can be also derived directly from the fundamental definition of momentum: , when we include the metaphysical creation of mass in the inner levels of time, in addition to its phy …

10. 6.3. The Equivalence Principle of General Relativity

    … ce-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 exa …

11. 6.4. Complex Energy

    … 2014). It is clear initially that, just like time, velocity and momentum that were discussed above, when we take the complex nature of time into account, the kinetic energy in equation 13, or in the relativistic energy-momentum e …

12. 7.3. Uncertainty:

    … n position will also increase with (the imaginary) velocity , or momentum , because higher physical velocity means that on average more and more points are becoming in the real speed , rather than rest, as can also inferred from e …