Journal of Modern Physics JMP is an openly accessible and peer-reviewed journal. ISSN Print: 2153-1196 ISSN Online: 2153-120X http://www.scirp.org/journal/PaperInformation.aspx?paperID=22676#abstract Relativity Theory and Paraquantum LogicPart II: Fundamentals of an Unified Calculation Full Text(PDF, 2540KB) PP.972-988 DOI: 10.4236/jmp.2012.39127 Author(s)Joao Inacio Da Silva Filho KEYWORDSParaconsistent Logic; Paraquantum Logic; Classical Physic; Relativity Theory; Quantum MechanicsCite this paperJ.I. Da Silva Filho, "Relativity Theory and Paraquantum LogicPart II: Fundamentals of an Unified Calculation," Journal of Modern Physics, Vol. 3 No. 9, 2012, pp. 972-988. doi: 10.4236/jmp.2012.39127. ABSTRACTThe studies of the PQL are based on propagation of Paraquantum logical states 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. Paraconsistent Differential Calculus (Part II): Second-OrderParaconsistent Derivativehttp://www.scirp.org/journal/PaperInformation.aspx?PaperID=45616Author(s) Joao Inacio Da Silva Filho ABSTRACTThe 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 on 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. KEYWORDSParaconsistent Logic, Paraconsistent Annotated Logic, Paraconsistent Mathematics, Paraconsistent Differential Calculus Cite this paperDa Silva Filho, J.I. (2014) Paraconsistent Differential Calculus (Part II): Second-Order Paraconsistent Derivative. Applied Mathematics, 5, 1222-1231. doi: 10.4236/am.2014.58107. Journal of Modern Physics JMP is an openly accessible and peer-reviewed journal.ISSN Print: 2153-1196 ISSN Online: 2153-120X http://www.scirp.org/journal/PaperInformation.aspx?paperID=22673#abstractRelativity Theory and Paraquantum LogicPart I: The Time and Space in the Paraquantum Logical ModelFull Text(PDF, 798KB) PP.957-971 DOI: 10.4236/jmp.2012.39126 Author(s)Joao Inacio Da Silva FilhoKEYWORDSParaconsistent Logic; Paraquantum Logic; Classical Physic; Relativity Theory; Quantum MechanicsCite this paperJ.I Da Silva Filho, "Relativity Theory and Paraquantum LogicPart I: The Time and Space in the Paraquantum Logical Model," Journal of Modern