Author(s)

João Inácio Da Silva Filho

Group of Applied Paraconsistent Logic-Santa Cecília University, Santos, Brazil.

From fundamental concepts of the Paraconsistent Annotated Logic with annotation of two values (PAL2v), whose main feature is to be capable of treating contradictory information, was created the Paraquantum Logic (P_QL). The studies of the P_QL are based on propagation of Paraquantum logical states ψ in a representative Lattice of four vertices. Based in interpretations that consider resulting information of measurements in physical systems, are found two Paraquantum factors: the Paraquantum Gamma Factor γ_PΨ, 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 World represented by the P_QL Lattice. Correlation between γ_PΨ and hΨ produces paraquantum equations for computation of the physical quantities in real physical systems. In this work we present a study of application of the P_QL in resolution of phenomena of physical systems that involve concepts of the Relativity Theory. Initially the time t is considered like an Observable Variable and the paraquantum analysis is done with the same conditions assumed in the relativity theory for the study of the time dilatation. After the time considerations, paraquantum equations are involved with the space-time and velocity creating conditions for a relativistic/paraquantum analysis. In the part II of this work a new approaches of the relativistic phenomena in the Paraquantum Logical Model will show the correlation of these effects with the Newtonian universe and with quantum mechanics.

Paraconsistent Logic; Paraquantum Logic; Classical Physic; Relativity Theory; Quantum Mechanics

J. Filho, "Relativity Theory and Paraquantum Logic—Part I: The Time and Space in the Paraquantum Logical Model," Journal of Modern Physics, Vol. 3 No. 9, 2012, pp. 957-971. doi: 10.4236/jmp.2012.39126.