Duality of Time and Perpetual Re-creation of Space

Abstract

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.

On the Cosmological Origin of the Rest Mass of Elementary Particles: The Ideas of Maximons and Minimons Revisited

“…In the master relation found by us for PBH with quantum characteristics the term (ρ b /ρ pl ) can be considered as the amplitude of the density fluctuations in cosmic vacuum. The Planck density ρ pl is equivalent to the vacuum density [17]. For the maximons the amplitude of the primordial density fluctuations related to the formation of associated PBH will be maximum.…”