Study of the Interactions between Particles Based in Paraquantum Logic

Filho, João Inácio da Silva

doi:10.4236/jmp.2012.35051

Cited by 4 publications

(8 citation statements)

References 12 publications

(27 reference statements)

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“…Thus, it is possible for the Paraconsistent Mathematics to be connected to the equilibrium point, defined by the Paraquantum Factor of quantization (h ψ ) of the PAL2v-Lattice τ [9] [12] [17] [19].…”

Section: K N Is the Paraconsistent Newton Normalization Factormentioning

confidence: 99%

Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative

Filho¹

2014

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A type of Inconsistent Mathematics structured on Paraconsistent Logic (PL) and that has, as the main purpose, the study of common mathematical objects such as sets, numbers and functions, where some contradictions are allowed, is called Paraconsistent Mathematics. The PL is a non-Classical logic and its main property is to present tolerance for contradiction in its fundamentals without the invalidation of the conclusions. In this paper (part 1), we use the PL in its annotated form, denominated Paraconsistent Annotated Logic with annotation of two values-PAL2v for present a first-order Paraconsistent Derivative. The PAL2v has, in its representation, an associated lattice FOUR based on Hasse Diagram. This PAL2v-Lattice allows development of a Paraconsistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this first article it is presented some examples applying derivatives of firstorder with the concepts of Paraconsistent Mathematics. In the second part of this work we will show the Paraconsistent Derivative of second-order with application examples.

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Section: K N Is the Paraconsistent Newton Normalization Factormentioning

confidence: 99%

Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative

Filho¹

2014

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“…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].…”

Section: The Paraquantum Logic (P Ql )mentioning

confidence: 99%

“…For the corresponding values of the Evidence Degrees extracted from the equilibrium condition [5,8,9], the an e alysis on the P QL Lattice indicates on th vertical y-axis of the contradiction degrees the Paraquantum Factor of quantization h ψ , such that: 2 1 h    . We can consider that a certain X paraquantum value is en the v easure by the analy-the responsible for establishing the connection betwe alues obtained from the time m sis of the restricted relativity theory and the quantization on the P QL Lattice.…”

Section: Adjust Of the Lorentz Factor In The Paraquantum Timementioning

confidence: 99%

“…Because of this behavior, with fundamental concepts of the Paraconsistent Annotated Logic with annotation of two values (PAL2v), was created the Paraquantum Logic (P QL ). Through the paraquantum equations we investigate the effects of balancing of Energies and the quantization and transience properties of the Paraquantum Logical Model in real Phy-sical Systems [5,8,9].…”

Section: Introductionmentioning

confidence: 99%

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Relativity Theory and Paraquantum Logic—Part I: The Time and Space in the Paraquantum Logical Model

Filho¹

2012

JMP

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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

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“…When the superposed Paraquantum logical state  sup propagates on the lattice of the P QL a value of quantizetion for each equilibrium point is established [5,6,9]. This point is the value of the contradiction degree of the Paraquantum logical state of quantization ( h ):…”

Section:    mentioning

confidence: 99%

Relativity Theory and Paraquantum Logic—Part II: Fundamentals of an Unified Calculation

Filho¹

2012

JMP

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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 paraquantum equations for computation of the physical quantities in real physical systems. In the first part of this work we presented a study of Relativity theory which involved the time and the space with their characteristics as degrees of evidence applied in Paraquantum Logical Model. Now, in this second Part we present a study of application of the PQL in resolution of phenomena of physical systems that involve concepts of the Relativity Theory and the correlation of these effects with the Newtonian Universe and Quantum Mechanics. Considering physical fundamental quantities varying periodically in amplitude, we introduce the paraquantum equations which consider frequency in the analysis. From of these mathematical relationships obtained in the PQL Lattice some main physical constants related to the studies of De Broglie appeared. With the equations of Energy obtained through the analyses is demonstrated that the Paraquantum Logic is capable to correlate values and to unify the several study areas of the Physical Science

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Study of the Interactions between Particles Based in Paraquantum Logic

Cited by 4 publications

References 12 publications

Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative

Paraconsistent Differential Calculus (Part I): First-Order Paraconsistent Derivative

Relativity Theory and Paraquantum Logic—Part I: The Time and Space in the Paraquantum Logical Model

Relativity Theory and Paraquantum Logic—Part II: Fundamentals of an Unified Calculation

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