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A Paraconsistent Logic (PL) is a non-classical logic which revokes the principle of non-Contradiction and admits the treatment of contradictory information in its theoretical structure. Paraquantum Logic (PQL) is based on a type of PL denominated Paraconsistent Annotated Logic with annotation of two values (PAL2v). The PAL2v have a representative Lattice of four vertices (Lattice FOUR) where are made interpretations with construction of Paraquantum Logical Model and equations capable computation values extract of Observable Variable measurements. The studies of the PQL are based on propagation of Paraquantum logical states ψ in a Paraquantum Universe represented by PQL-Lattice of four vertices. These studies of PQL are based in two Paraquantum factors: the Paraquantum Gamma Factor (γPψ) that has his action in the measurements of Observable Variables in the Physical world and the Paraquantum Factor of quantization hψ, which has his action in the Paraquantum Universe. In this paper we analyze the application of Paraquantum Gamma Factor γPψ and its intrinsic characteristics that add important information into the equation of Einstein’s relativistic Energy (E = MC2). In this article were made several calculations to demonstrate the effects of applying the Paraquantum Gamma Factor (γPψ) in relativistic energy equation. It is found that the factors of using the Paraquantum Logical Model make an adjustment in the equation of Einstein’s relativistic Energy and identify related values with recent results found for the Dark Energy and dark matter. In the Paraquantum/Relativistic Energy equation the γPψ appears as an important factor of transition between the relativistic universe and the Newtonian Universe. The results suggest that its use would be very important in the interpretation of the behavior of other astronomical factors as the cosmological constant and gravitation.

Dark Energy Calculations Using the Paraquantum Gamma Factor (<i>γ<sub>Pψ</sub></i>) on the Relativistic Energy Equation