Abstract

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 (PQL). The studies of the PQL 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 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 World represented by the PQL Lattice. Correlation between γPΨ 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 PQL 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.

Highlights

  • 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 [1,2,3]

  • According to the concepts of the Paraquantum Logic (PQL) [5,8,9] we observe the correlation among the values extracted from the Observable Variables of the physical environment, in the form of Evidence Degrees, that leads to an equilibrium situation, defined by a paraquantum logical value established by the Paraquantum Factor of quantization hψ

  • In this paper we presented a study of physical phenomena that correlates the concepts of the Theory of the Relativity and foundations of the Paraquantum logic (PQL)

Read more

Summary

Introduction

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 [1,2,3]. With that it is verified that the application of its foundations presents results strongly connected to the ones found in modeling of phenomena studied in quantum mechanics (see [5,6,7]) Because of this behavior, with fundamental concepts of the Paraconsistent Annotated Logic with annotation of two values (PAL2v), was created the Paraquantum Logic (PQL). A Paraquantum logical state ψ is created on the lattice of the PQL as the tuple formed by the Certainty degree (DC) and the Contradiction degree (Dct) [4], DC ,. Both values depend on the measurements perfomed on the Observable Variables in the physical environment which are represented by μ and λ [5,8,9]. The inclination angle of the Vector of State which is the angle formed by the Vector of State P and the x-axis of the certainty degrees is computed by: arc tg

Uncertainty Paraquantum Region
The Paraquantum Factor of Quantization hψ
The Propagation of the Paraquantum Logical State ψ
Newton Gamma Factor
Paraquantum Gamma Factor γPψ
The Study of the Time Flow in the Paraquantum Analysis
L c2 2Lc c2 v2 c t 2 t t t v2 c2
The Time and the Paraquantum Logic
The Action of the Paraquantum Time Flow in the Physical Systems
The Lorentz Factor in the Quantization of the Paraquantum Time
X acting on the Factor of Lorentz
The Space-Time in Paraquantum Logic Analysis
The Equilibrium Point in Paraquantum Analysis
Discussion
Conclusions
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call