Information Theory and Quantum Physics

1. First Principles.- 1.1 Relativity and Equivalence.- 1.2 Action.- 1.3 Information and Probability.- 1.4 Uncertainty and Indeterminacy.- 2. Quantal Bits.- 2.1 Creation and Annihilation.- 2.2 Classical Geometry on a Sphere.- 2.3 Spin and Rotation.- 2.3.1 The Group of Rotations.- 2.4 Lorentz Transformations.- 2.5 Translations in Space and Time.- 2.6 Elementary String Theory.- 2.7 Summary.- 3. Events in Space and Time.- 3.1 Projective Geometries.- 3.2 Classical Geometry of Space-Time.- 3.3 Changes of Observational Frame.- 3.4 Events as Quantal Information.- 3.4.1 Spin of the Photon.- 3.5 Fermions in Space-Time.- 3.5.1 Dirac's Equation.- 3.5.2 Charged and Neutral Particles.- 3.6 Summary.- 4. Quantal 'Tapes'.- 4.1 Representation of States of Higher Spin.- 4.1.1 'Tapes' for Particles of Higher Spin.- 4.1.2 Matrices for Higher Spin.- 4.1.3 Spin 0 and 1.- 4.2 Maxwell's Equations and the Photon.- 4.3 Systems of Fermions.- 4.4 Bosons.- 4.4.1 The Factorization Technique.- 4.4.2 The Tape Constructed from Qubits.- 4.4.3 Systems of Bosons.- 4.5 Observables with Continuous Spectra.- 4.5.1 Quasi-continuous Spectra.- 4.6 Summary.- 5. Observables and Information.- 5.1 Relativistic and Non-relativistic Approximations.- 5.1.1 Orbital Angular Momentum.- 5.2 Non-relativistic Quantum Mechanics.- 5.2.1 The Hydrogen Atom.- 5.2.2 Scattering and the S-Matrix.- 5.3 Uncertainty Relations.- 5.4 Special Relativistic Quantum Mechanics.- 5.4.1 Elastic Scattering.- 5.5 Selected and Unselected Observables.- 5.6 The Fundamental Observables of Physics.- 5.6.1 Schrödinger's Wave Mechanics.- 5.6.2 The Heisenberg Representation.- 5.6.3 The Interaction Representation.- 5.7 Statistical Physics.- 5.7.1 Macroscopic and Microscopic Variables.- 5.8 Theory of Electrolytes.- 5.8.1 The Debye-Hückel Equation.- 5.9 Summary.- 6. Quantized Field Theories.- 6.1 Free Field Theories.- 6.1.1 Spin 1/2.- 6.1.2 Spin 0.- 6.1.3 Spin 1.- 6.2 Interacting Fields.- 6.2.1 The S-Matrix.- 6.2.2 Ordering in Time.- 6.3 Quantum