Mechanical Logic In Three Dimensional Space

Author : Gennaro Auletta
Publisher : CRC Press
ISBN 13 : 9814411515
Total Pages : 396 pages
Book Rating : 4.16/5 ( download)

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Download or read book Mechanical Logic in Three-Dimensional Space written by Gennaro Auletta and published by CRC Press. This book was released on 2016-04-19 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to three-variables and two-premise

Author : Gennaro Auletta
Publisher : Springer
ISBN 13 : 303016649X
Total Pages : 863 pages
Book Rating : 4.96/5 ( download)

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Download or read book The Quantum Mechanics Conundrum written by Gennaro Auletta and published by Springer. This book was released on 2019-08-17 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume gives a balanced and systematic treatment of both the interpretation and the mathematical-conceptual foundations of quantum mechanics. It is written in a pedagogical style and addresses many thorny problems of fundamental physics. The first aspect concerns Interpretation. The author raises the central problems: formalism, measurement, non-locality, and causality. The main positions on these subjects are presented and critically analysed. The aim is to show that the main schools can converge on a core interpretation. The second aspect concerns Foundations. Here it is shown that the whole theory can be grounded on information theory. The distinction between information and signal leads us to integrating quantum mechanics and relativity. Category theory is presented and its significance for quantum information shown; the logic and epistemological bases of the theory are assessed. Of relevance to all physicists and philosophers with an interest in quantum theory and its foundations, this book is destined to become a classic work.

Author : Gennaro Auletta
Publisher : World Scientific
ISBN 13 : 1800610106
Total Pages : 317 pages
Book Rating : 4.01/5 ( download)

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Download or read book Boolean Structures: Combinatorics, Codification, Representation written by Gennaro Auletta and published by World Scientific. This book was released on 2021-04-16 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean Structures: Combinatorics, Codification, Representation offers the first analytical and architectural approach to Boolean algebras based combinatorial calculus and codification with applications in IT, quantum information and classification of data.

Author : Mitsuo Taketani
Publisher : World Scientific
ISBN 13 : 9789812810113
Total Pages : 350 pages
Book Rating : 4.10/5 ( download)

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Download or read book The Formation and Logic of Quantum Mechanics written by Mitsuo Taketani and published by World Scientific. This book was released on 2001 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the intricate logical process through which the quantum theory was developed, and shows that the quantum mechanics thus established is governed by stereo-structural logic . The method of analysis is based on Mituo Taketani''s three-stage theory of scientific cognition, which was presented and developed in close connection with Yukawa''s theory of the meson. According to the three-stage theory, scientific cognition proceeds through a series of coiling turns of the phenomenological, substantialistic and essentialistic stages. The old quantum mechanics is shown to be in a substantialistic stage, followed by the quantum mechanics in the corresponding essentialistic stage. Sample Chapter(s). Chapter 1.1: Themodynamical Investigation of Black Body Radiation (206 KB). Chapter 1.2: Atomistic Investigations of Black Body Radiation (257 KB). Chapter 1.3: Einstein''s Light Quantum (261 KB). Chapter 1.4: The Light Quantum and the Theory of Relativity (158 KB). Chapter 1.1: Diffculties seen from Statistical Heat Theory (281 KB). Chapter 1.2: Molecular Theoretical Significance of the Planck Theory (236 KB). Chapter 1.3: Conflict between the Wave and Particle Natures (235 KB). Chapter 1.1: Heisenbergs Quantum Condition (307 KB). Chapter 1.2: Born-Jordan''s Formulation with Matrices (361 KB). Chapter 1.3: Dirac''s Formulation by Quantum Algebra (299 KB). Chapter 1.4: Attempts at the Interpretation of Matrix Mechanics (272 KB). Contents: Volume I: Quantum of Radiation; The Formation of Atomic Models; Volume II: Difficulties in Radiation Theory; The Quantum of Action and Atomic Models; The Quantum Condition, Transition Probability and Correspondence Principle; Theory of Atomic Structure and Spin of Electron; The Interconnection of Wave- and Particle-Natures; Volume III: The Proposal and Formulation of Matrix Mechanics; From the Proposal of Wave Mechanics to Quantum Mechanics; The Establishment of Quantum Mechanics; The Logic of Quantum Mechanics. Readership: Undergraduates and researchers in quantum and theoretical physics.

Author : Amoroso Richard L
Publisher : World Scientific
ISBN 13 : 9814719072
Total Pages : 620 pages
Book Rating : 4.70/5 ( download)

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Download or read book Unified Field Mechanics: Natural Science Beyond The Veil Of Spacetime - Proceedings Of The Ix Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier written by Amoroso Richard L and published by World Scientific. This book was released on 2015-09-08 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.

Author : Amoroso Richard L
Publisher : World Scientific
ISBN 13 : 9813232056
Total Pages : 652 pages
Book Rating : 4.51/5 ( download)

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Download or read book Unified Field Mechanics II: Formulations and Empirical Tests written by Amoroso Richard L and published by World Scientific. This book was released on 2018-01-03 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.

Author : Franklin E. Schroeck Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 9401728305
Total Pages : 687 pages
Book Rating : 4.00/5 ( download)

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Download or read book Quantum Mechanics on Phase Space written by Franklin E. Schroeck Jr. and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics. Here, we motivate this new formulation and sketch how it developed. Since the publication of Dirac's famous book on quantum mechanics [Dirac, 1930] and von Neumann's classic text on the mathematical foundations of quantum mechanics two years later [von Neumann, 1932], there have appeared a number of lines of development, the intent of each being to enrich quantum theory by extra polating or even modifying the original basic structure. These lines of development have seemed to go in different directions, the major directions of which are identified here: First is the introduction of group theoretical methods [Weyl, 1928; Wigner, 1931] with the natural extension to coherent state theory [Klauder and Sudarshan, 1968; Peremolov, 1971]. The call for an axiomatic approach to physics [Hilbert, 1900; Sixth Problem] led to the development of quantum logic [Mackey, 1963; Jauch, 1968; Varadarajan, 1968, 1970; Piron, 1976; Beltrametti & Cassinelli, 1981], to the creation of the operational approach [Ludwig, 1983-85, 1985; Davies, 1976] with its application to quantum communication theory [Helstrom, 1976; Holevo, 1982), and to the development of the C* approach [Emch, 1972]. An approach through stochastic differential equations ("stochastic mechanics") was developed [Nelson, 1964, 1966, 1967].

Author : Chen Ning Yang
Publisher : World Scientific
ISBN 13 : 9789810215248
Total Pages : 496 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Braid Group, Knot Theory, and Statistical Mechanics II written by Chen Ning Yang and published by World Scientific. This book was released on 1994 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is an updated version of the book edited by C N Yang and M L Ge on the topics of braid groups and knot theory, which are related to statistical mechanics. This book is based on the 1989 volume but has new material included and new contributors.

Author : Lev D. Beklemishev
Publisher : Elsevier
ISBN 13 : 0080954715
Total Pages : 673 pages
Book Rating : 4.14/5 ( download)

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Download or read book Provability, Computability and Reflection written by Lev D. Beklemishev and published by Elsevier. This book was released on 2009-06-15 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provability, Computability and Reflection

Author : Jan C.A. Boeyens
Publisher : Springer Science & Business Media
ISBN 13 : 9400775784
Total Pages : 250 pages
Book Rating : 4.87/5 ( download)

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Download or read book The Chemistry of Matter Waves written by Jan C.A. Boeyens and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum and relativity theories of physics are considered to underpin all of science in an absolute sense. This monograph argues against this proposition primarily on the basis of the two theories' incompatibility and of some untenable philosophical implications of the quantum model. Elementary matter is assumed in both theories to occur as zero-dimensional point particles. In relativity theory this requires the space-like region of the underlying Minkowski space-time to be rejected as unphysical, despite its precise mathematical characterization. In quantum theory it leads to an incomprehensible interpretation of the wave nature of matter in terms of a probability function and the equally obscure concept of wave-particle duality. The most worrisome aspect about quantum mechanics as a theory of chemistry is its total inability, despite unsubstantiated claims to the contrary, to account for the fundamental concepts of electron spin, molecular structure, and the periodic table of the elements. A remedy of all these defects by reformulation of both theories as nonlinear wave models in four-dimensional space-time is described.