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

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Journal of Modern Physics 2012年第9期3卷 972-988页

作者： Joao Inacio Da Silva filho Group of Applied Paraconsistent Logic-Santa Cecilia University SantosBrazil Institute for Advanced Studies of the University of Sao Paulo Cidade Universitaria Sao PauloBrazil

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.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

Analysis of Physical Systems with Paraconsistent Annotated Logic: Introducing the Paraquantum Gamma Factor γ_(ψ)

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Journal of Modern Physics 2011年第12期2卷 1455-1469页

作者： Joao Inacio Da Silva filho Santa Cecilia University Group of Applied Paraconsistent LogicSantosBrazil Institute for Advanced Studies of the University of Sao Paulo TerreoCidade UniversitariaSao PauloBrazil

In this paper we use a non-classical logic called ParaQuantum Logic (PQL) which is based on the foundations of the Paraconsistent Annotated logic with annotation of two values (PAL2v). The formalizations of the PQL concepts, which is represented by a lattice with four vertices, leads us to consider Paraquantum logical states ψ which are propagated by means of variations of the evidence Degrees extracted from measurements performed on the Observable Variables of the physical world. In this work we introduce the Paraquantum Gamma Factor γPψ which is an expansion factor on the PQL lattice that act in the physical world and is correlated with the Paraquantum Factor of quantization hψ whose value is associated with a special logical state on the lattice which is identified with the Planck constant h. Our studies show that the behavior of the Paraquantum Gamma Factor γPψ, at the time of reading the evidence Degrees through measurements of the Observable Variables in the physical world, is identical to that one of the Lorentz Factor γ used in the relativity theory. In the final part of this paper we present results about studies of expansion and contraction of the Paraquantum Logical Model which correlate the factors γPψ, and γ. By applying these correlation factors, the lattice of the PQL suitable for the universe understudy can be contracted or expanded, allowing the quantization model to cover the several study fields of physics.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

Treatment of Uncertainties with Algorithms of the Paraconsistent Annotated Logic

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Journal of Intelligent Learning Systems and Applications 2012年第2期4卷 144-153页

作者： Joao Inácio Da Silva filho UNISANTA Santa Cecília UniversitySantos CityBrazil Institute for Advanced Studies University of Sao PauloSao PauloBrazil

The method presented in this work is based on the fundamental concepts of Paraconsistent Annotated Logic with annotation of 2 values (PAL2v). The PAL2v is a non-classic Logics which admits contradiction and in this paper we perform a study using mathematical interpretation in its representative lattice. This studies result in algorithms and equations give an effective treatment on signals of information that represent situations found in uncertainty knowledge database. From the obtained equations, algorithms are elaborated to be utilized in computation models of the uncertainty treatment Systems. We presented some results that were obtained of analyses done with one of the algorithms that compose the paraconsistent analyzing system of logical signals with the PAL2v Logic. The paraconsistent reasoning system built according to the PAL2v methodology notions reveals itself to be more efficient than the traditional ones, because it gets to offer an appropriate treatment to contradictory information.

关键词： Algorithm Non-Classic Logic Paraconsistent Annotated Logic

Study of the Interactions between Particles Based in Paraquantum Logic

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Journal of Modern Physics 2012年第5期3卷 362-376页

作者： Joao Inacio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecilia UniversitySantosBrazil Institute for Advanced Studies University of Sao PauloSao PauloBrazil

Paraquantum Logic (P QL ) has its origins in the fundamental concepts of the Paraconsistent Annotated Logic (PAL) whose main feature is to be capable of treating contradictory information. In this work we presented a study of application of the P QL in resolution of phenomena of physical systems that involves the interactions between physical bodies or particles. Initially is considered that each particle or physical body that is in the physical world has a representative Lattice in the Paraquantum world. From this consideration is made a study of the phenomena of Paraquantum Entanglement modeling the interaction between particles based in fundamental concepts of the Paraquantum Logic. The mathematical relationships of representative Lattices of the Paraquantum Logic originate models with values that are identified with some physical constants. In this work these paraquantum values are identified with the Universal constant of Gravity, proposed by Newton, and the constant K, that relates the Interaction Force in charged particles in the Coulomb’s Law. The results showed that the Paraquantum Logical Model elaborated starting from the fundamental concepts of the Paraquantum Logic (P QL ) is adequate to support theories based in a Paraquantum Universe built by an infinite amount of Lattices and forming a Paraquantum net of infinite dimensions.

关键词： Paraconsistent Logic Paraquantum Logic Classical Physic Relativity Theory Quantum Mechanics

Paraconsistent Differential Calculus(Part II):Second-Order Paraconsistent Derivative

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Applied Mathematics 2014年第8期5卷 1142-1151页

作者： Joao Inácio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecília University-UNISANTASantosBrazil Institute for Advanced Studies of the University of Sao Paulo-IEAUSP Sao PauloBrazil

The Paraconsistent Logic (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, we use the PL in its annotated form, denominated Paraconsistent Annotated Logic with annotation of two values-PAL2v. This type of paraconsistent logic has an associated lattice that allows the development of a Paraconsistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this paper (Part II), it is presented a continuation of the first article (Part I) where the Paraconsistent Differential Calculus is given emphasis on the second-order Paraconsistent Derivative. We present some examples applying Paraconsistent Derivatives at functions of first and second-order with the concepts of Paraconsistent Mathematics.

关键词： Paraconsistent Logic Paraconsistent Annotated Logic Paraconsistent Mathematics Paraconsistent Differential Calculus

Is There an Information Field in the Life World？ Empirical Approach Using Electrophotonic Analysis

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Journal of Life Sciences 2017年第4期11卷 191-201页

作者： Erico Azevedo Jose Pissolato filho Ontopsychology Department AMF Estrada Recanto Maestro 338 97200-000 Restinga Seca-RS Brazil Energy Systems Department FEEC/Unicamp Rua Albert Einstein 400 13083-852 Campinas-SP Brazil

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

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Applied Mathematics 2014年第6期5卷 904-916页

作者： Joao Inácio Da Silva filho Group of Applied Paraconsistent Logic Santa Cecília University-UNISANTASantosBrazil Institute for Advanced Studies University of Sao Paulo-IEAUSPSao PauloBrazil

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 Para-consistent Differential Calculus based on fundamentals and equations obtained by geometric interpretations. In this first article it is presented some examples applying derivatives of first-order 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.

关键词： Paraconsistent Logic Paraconsistent Annotated Logic Paraconsistent Mathematics Paraconsistent Differential Calculus

Increasing Ventilation by Passive Strategies: Analysis of Indoor Air Circulation Changes through the Utilization of Microclimate Elements

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Applied Mathematics 2014年第3期5卷 442-452页

作者： Patricia RCDrach Jose Karam-filho Programa de Pos-Graduacao em Urbanismo FAUUniversidade Federal do Rio de JaneiroRio de JaneiroBrasil National Laboratory for Scientific Computing LNCC/MCTPetropolisBrasil

A demand for renewable alternatives that would be able to deal with the problems related to well-being is directly linked to the world’s growing needs to save energy and reduce environmental costs. For a project implementation addressing these issues, it is essential to know the climatic conditions of the target area. Taking natural ventilation, climatic factors, and renewable alternatives as important sources of comfort, in this work, passive strategies, through the utilization of microclimate elements as well as the location of outside obstacles, were imposed on an initial and specific project. The objective was to introduce obstacles which could interfere in the field of external wind and evaluate whether this outside intervention is able to make changes in indoor air circulation. The wind fields for the studied cases were obtained by computational simulations, and their consequences were analyzed to attain thermal comfort. The method adopted to obtain the wind fields was a Petrov-Galerkin type method, which is a stabilized mixed finite element method of the Navier-Stokes equations considering the incompressibility and formulated in primitive variables, velocity and pressure. The obtained results point to the solutions that promote the increase or decrease of the wind-field intensity.

关键词： Increasing Ventilation by Passive Strategies: Analysis of Indoor Air Circulation Changes through the Utilization of Microclimate Elements

A Probabilistic Paraconsistent Logical Model for Non-Relativistic Quantum Mechanics Using Interlaced Bilattices with Conflation and Bernoulli Distribution

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Journal of Quantum Information Science 2017年第3期7卷 89-124页

作者： Joao Inacio Da Silva filho Laboratory of Applied Paraconsistent Logic Santa Cecilia University—UNISANTASantosBrazil

In this work, we make a representation of non-relativistic quantum theory based on foundations of paraconsistent annotated logic (PAL), a propositional and evidential logic with an associated lattice FOUR. We use the PAL version with annotation of two values (PAL2v), named paraquantum logic (PQL), where the evidence signals are normalized values and the intensities of the inconsistencies are represented by degrees of contradiction. Quantum mechanics is represented through mapping on the interlaced bilattices where this logical formalization allows annotation of two values in the format of degrees of evidence of probability. The Bernoulli probability distribution is used to establish probabilistic logical states that identify the superposition of states and quantum entanglement with the equations and determine the state vectors located inside the interlaced Bilattice. In the proposed logical probabilistic paraquantum logic model (pPQL Model), we introduce the operation of logical conflation into interlaced bilattice. We verify that in the pPQL Model, the operation of logical conflation is responsible for providing a suitable model for various phenomena of quantum mechanics, mainly the quantum entanglement. The results obtained from the entanglement equations demonstrate the formalization and completeness of paraquantum logic that allows for interpretations of similar phenomena of quantum mechanics, including EPR paradox and the wave-particle theory.

关键词： Paraconsistent Logic Interlaced Bilattice Probability Theory Quantum Mechanics Paraquantum Logic Model