Quantum Relativity

A Synthesis of the Ideas of Einstein and Heisenberg

David R. Finkelstein (Autor)

Buch | Softcover

XXII, 578 Seiten

2012 | 1. Softcover reprint of the original 1st ed. 1996
Springer Berlin (Verlag)
978-3-642-64612-6 (ISBN)

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Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics. The author presents a simple algebraic quantum language sharpening and deepening that of Bohr, Heisenberg, and von Neumann, with its own epistemology, modal structure, and connectives. The core of the language is semigroup of physical actions. The work extends quantum algebra from first-order to high-order propositions, classes, and actions; from positive to indefinite metrics; and from quantum systems to quantum sets, quantum semigroups, and quantum groups. The reader learns the theory by applying it to simple quantum problems at gradually higher levels. The author applies the extended quantum theory to a spacetime structure, which was taken as a fixed part of the classical framework of the original quantum theory. This leads to a simple proposal connecting the internal variables of spin, color, and isospin with the fine structure of spacetime.

To avoid paradoxical interpretations of quantum physics which have their origin in the use of natural language the author develops, starting from John von Neumann's fundamental papers, a quantum language based on algebraic concepts. It starts from observations and is therefore well- suited for providing a better understanding of the foundations of quantum physics. The work is organized didactically and can be read by both physicists and philosophers of science.

Act 1 One.- 1. Quantum Action.- 2. Elementary Quantum Experiments.- 3. Classical Matrix Mechanics.- 4. Quantum Jumps.- 5. Non-Objective Physics.- 6. Why Vectors?.- Act 2 Many.- 7. Many Quanta.- 8. Quantum Probability and Improbability.- 9. The Search for Pangloss.- 10. Quantum Set Algebra.- Act 3 One.- 11. Classical Spacetime.- 12. Semi-quantum Dynamics.- 13. Local Dynamics.- 14. Quantum Set Calculus.- 15. Quantum Groups and Operons.- Act 4 Nothing.- 16. Quantum Spacetime Net.- 17. Toolshed.

Erscheint lt. Verlag	14.3.2012
Reihe/Serie	Theoretical and Mathematical Physics
Zusatzinfo	XXII, 578 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	901 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Crystal • eigenvalue • Gravity • Hydrogen • Mechanics • Minkowski space • quantum dynamics • quantum groups • quantum logics • Quantum Physics • quantum set theroy • quantum spaces • Quantum structures • Quantum Theory • Relativity • Special relativity • standard model • Theory of relativity • thermodynamics • Vacuum
ISBN-10	3-642-64612-3 / 3642646123
ISBN-13	978-3-642-64612-6 / 9783642646126
Zustand	Neuware