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

ABSTRACT

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 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 *P*_{QL} 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 *P*_{QL} 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.

The studies of the

KEYWORDS

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

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

Cite this paper

J. Silva Filho, "Relativity Theory and Paraquantum Logic—Part II: Fundamentals of an Unified Calculation,"*Journal of Modern Physics*, Vol. 3 No. 9, 2012, pp. 972-988. doi: 10.4236/jmp.2012.39127.

J. Silva Filho, "Relativity Theory and Paraquantum Logic—Part II: Fundamentals of an Unified Calculation,"

References

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[2] N. C. A. Da Costa, “On the Theory of Inconsistent Formal Systems,” Notre Dame Journal of Formal Logic, Vol. 15, No. 4, 1974, pp. 497-510. doi:10.1305/ndjfl/1093891487

[3] S. Jas’kowski, “Propositional Calculus for Contradictory Deductive Systems,” Studia Logica, Vol. 24, No. 1, 1969, pp. 143-157. doi:10.1007/BF02134311

[4] J. I. Da Silva Filho, G. Lambert-Torres and J. M. Abe “Uncertainty Treatment Using Paraconsistent Logic—Introducing Paraconsistent Artificial Neural Networks,” IOS Press, Amsterdam, 2010.

[5] J. I. Da Silva Filho, “Paraconsistent Annotated Logic in analysis of Physical Systems: Introducing the Paraquantum Factor of quantization hψ,” Journal of Modern Physics, Vol. 2, No. 11, 2011, pp. 1397-1409.

[6] D. Krause and O. Bueno, “Scientific Theories, Models, and the Semantic Approach,” Principia, Vol. 11, No. 2, 2007, pp. 187-201.

[7] J. I. Da Silva Filho, “Analysis of Physical Systems with Paraconsistent Annotated Logic: Introducing the Paraquantum Gamma Factor γψ,” Journal of Modern Physics, Vol. 2, No. 12, 2011, pp. 1455-1469.

[8] C. A. Fuchs and A. Peres, “Quantum Theory Needs no ‘Interpretation’,” Physics Today, Vol. 53, No. 3, 2000, pp. 70-71. doi:10.1063/1.883004

[9] J. I. Da Silva Filho, “Study of the Interactions between Particles Based in Paraquantum Logic,” Journal of Modern Physics, Vol. 3, No. 5, 2012, pp. 362-376. doi:10.4236/jmp.2012.35051

[10] Pl. A. Tipler and R. A. Llewellyn, “Modern Physics,” 5th Edition, W. H. Freeman and Company, New York, 2007.

[11] J. P. Mckelvey and H. Grotch, “Physics for Science and Engineering,” Harper and Row Publisher Inc, New York, London, 1978.

[12] Pl. A. Tipler, “Physics,” Worth Publishers Inc, New York, 1976.

[13] A. Einstein, “Relativity the Special and the General Theory,” Methuen & Co. Ltd., London, 1955.

[14] J. I. Da Silva Filho, “Analysis of the Spectral Line Emissions of the Hydrogen Atom with Paraquantum,” Journal of Modern Physics, Vol. 3, 2012, pp. 233-254.

[15] J. I. Da Silva Filho, “An Introductory Study of the Hydrogen Atom with Paraquantum Logic,” Journal of Modern Physics, Vol. 3, No. 4, 2012, pp. 312-333.

[1] N. C. A. Da Costa and D. Marconi, “An Overview of Paraconsistent Logic in the 80’s,” The Journal of Non- Classical Logic, Vol. 6, No. 1, 1989, pp. 5-31.

[2] N. C. A. Da Costa, “On the Theory of Inconsistent Formal Systems,” Notre Dame Journal of Formal Logic, Vol. 15, No. 4, 1974, pp. 497-510. doi:10.1305/ndjfl/1093891487

[3] S. Jas’kowski, “Propositional Calculus for Contradictory Deductive Systems,” Studia Logica, Vol. 24, No. 1, 1969, pp. 143-157. doi:10.1007/BF02134311

[4] J. I. Da Silva Filho, G. Lambert-Torres and J. M. Abe “Uncertainty Treatment Using Paraconsistent Logic—Introducing Paraconsistent Artificial Neural Networks,” IOS Press, Amsterdam, 2010.

[5] J. I. Da Silva Filho, “Paraconsistent Annotated Logic in analysis of Physical Systems: Introducing the Paraquantum Factor of quantization hψ,” Journal of Modern Physics, Vol. 2, No. 11, 2011, pp. 1397-1409.

[6] D. Krause and O. Bueno, “Scientific Theories, Models, and the Semantic Approach,” Principia, Vol. 11, No. 2, 2007, pp. 187-201.

[7] J. I. Da Silva Filho, “Analysis of Physical Systems with Paraconsistent Annotated Logic: Introducing the Paraquantum Gamma Factor γψ,” Journal of Modern Physics, Vol. 2, No. 12, 2011, pp. 1455-1469.

[8] C. A. Fuchs and A. Peres, “Quantum Theory Needs no ‘Interpretation’,” Physics Today, Vol. 53, No. 3, 2000, pp. 70-71. doi:10.1063/1.883004

[9] J. I. Da Silva Filho, “Study of the Interactions between Particles Based in Paraquantum Logic,” Journal of Modern Physics, Vol. 3, No. 5, 2012, pp. 362-376. doi:10.4236/jmp.2012.35051

[10] Pl. A. Tipler and R. A. Llewellyn, “Modern Physics,” 5th Edition, W. H. Freeman and Company, New York, 2007.

[11] J. P. Mckelvey and H. Grotch, “Physics for Science and Engineering,” Harper and Row Publisher Inc, New York, London, 1978.

[12] Pl. A. Tipler, “Physics,” Worth Publishers Inc, New York, 1976.

[13] A. Einstein, “Relativity the Special and the General Theory,” Methuen & Co. Ltd., London, 1955.

[14] J. I. Da Silva Filho, “Analysis of the Spectral Line Emissions of the Hydrogen Atom with Paraquantum,” Journal of Modern Physics, Vol. 3, 2012, pp. 233-254.

[15] J. I. Da Silva Filho, “An Introductory Study of the Hydrogen Atom with Paraquantum Logic,” Journal of Modern Physics, Vol. 3, No. 4, 2012, pp. 312-333.