Ebook: Quantum Relativity: A Synthesis of the Ideas of Einstein and Heisenberg

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.

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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.

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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.
Content:
Front Matter....Pages I-XXII
Front Matter....Pages 1-1
Quantum Actions....Pages 3-41
Elementary Quantum Experiments....Pages 43-78
Classical Matrix Mechanic....Pages 79-108
Quantum Jumps....Pages 109-151
Non-Objective Physics....Pages 153-184
Why Vectors?....Pages 185-203
Front Matter....Pages 205-205
Many Quanta....Pages 207-230
Quantum Probability and Improbability....Pages 231-253
The Search for Pangloss....Pages 255-281
Quantum Set Algebra....Pages 283-315
Front Matter....Pages 317-317
Classical Spacetime....Pages 319-358
Semi-quantum Dynamics....Pages 359-398
Local Dynamics....Pages 399-420
Quantum Set Calculus....Pages 421-444
Quantum Groups and Operons....Pages 445-471
Front Matter....Pages 473-473
Quantum Spacetime Net....Pages 475-517
Toolshed....Pages 519-555
Back Matter....Pages 557-577

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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.
Content:
Front Matter....Pages I-XXII
Front Matter....Pages 1-1
Quantum Actions....Pages 3-41
Elementary Quantum Experiments....Pages 43-78
Classical Matrix Mechanic....Pages 79-108
Quantum Jumps....Pages 109-151
Non-Objective Physics....Pages 153-184
Why Vectors?....Pages 185-203
Front Matter....Pages 205-205
Many Quanta....Pages 207-230
Quantum Probability and Improbability....Pages 231-253
The Search for Pangloss....Pages 255-281
Quantum Set Algebra....Pages 283-315
Front Matter....Pages 317-317
Classical Spacetime....Pages 319-358
Semi-quantum Dynamics....Pages 359-398
Local Dynamics....Pages 399-420
Quantum Set Calculus....Pages 421-444
Quantum Groups and Operons....Pages 445-471
Front Matter....Pages 473-473
Quantum Spacetime Net....Pages 475-517
Toolshed....Pages 519-555
Back Matter....Pages 557-577
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