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Based on the Duality of Time hypothesis, a dynamic, granular and self-contained space-time is introduced and investigated. A new time-time or complex-time Euclidean space is defined and it is shown that the non-Euclidean Minkowski space is the first global approximation of this complex-time space in which the space-time interval becomes invariant between different inertial and non-inertial frames alike. Therefore, in addition to Lorentz factor, the equivalence principle is derived directly from the resulting discrete symmetry. To support this hypothesis, it will be applied to derive the mass-energy equivalence relation directly from fundamental classical principles. It will be also shown that the resulting dynamic quintessence could diminish the cosmological constant discrepancy by 117 orders of magnitude.

keywords

speed of light invariance; arrow of time; complex time; quantum gravity; equivalence principle; cosmological constant problem