Space and Time in the Microworld

Inhaltsverzeichnis

• I. Geometrical Measurements in the Macroworld.
• 1. The Arithmetization of Space-Time.
• 2. The Physical Methods of Arithmetization of Space-Time.
• 3. On Dividing the Manifold of Events into Space and Time.
• 4. The Aftine Manifold.
• 5. The Riemann Manifold.
• 6. The Physics of Arithmetization of the Space-Time Manifold.
• 7. Arithmetization of Events in the Case of the Non-Linear Theory of Fields.
• 8. The General Theory of Relativity and the Arithmetization of Space-Time.
• 9. Chronogeometry.
• II. Geometrical Measurements in the Microworld.
• 10. Some Remarks on Measurements in the Microworld.
• 11. The Measurement of Coordinates of the Microparticles.
• 12. The Mechanics of Measuring Coordinates of Microparticles.
• 13. Indirect Measurement of a Microparticle Coordinates at a Given Instant in Time.
• III. Geometrical Measurements in the Microworld in the Relativistic Case.
• 14. The Fermion Field.
• 15. The Uncertainty Relation for Fermions.
• 16. The Boson Field.
• 17. The Localization of Photons.
• 18. The Diffusion of Relativistic Packets.
• 19. The Coordinates of Newton and Wigner.
• 20. The Measurement of a Microparticle’s Coordinates in the Relativistic Case.
• IV. The Role of Finite Dimensions of Elementary Particles.
• 21. The Polarization of Vacuum. The Dimensions of an Electron.
• 22. The Electromagnetic Structure of Nucleons.
• 23. The Meson Structure of Nucleons.
• 24. The Structure of Particles in Quantized Field Theory.
• V. Causality in Quantum Theory.
• 25. A Few Remarks on Causality in the Classical Theory of Fields.
• 26. Causality in Quantum Field Theory.
• 27. The Propagation of a Signal “Inside” a Microparticle.
• 28. Microcausality in the Quantum Field Theory.
• 29. Microcausality in the Theory of Scattering Matrices.
• 30. Causality and the Analytical Properties of theScattering Matrix.
• VI. Macroscopic Causality.
• 31. Formal ?-matrix Theory.
• 32. Space-Time Descriptions Using the ?-matrix.
• 33. The Scale for the Asymptotic Time T.
• 34. Unstable Particles (Resonances).
• 35. Conditions of Macroscopic Causality for the S-matrix.
• 36. Examples of Acausal Influence Functions.
• 37. An Example of Constructing an Acausal Scattering Matrix.
• 38. The Dispersion Relation for the Acausal ? a-Matrix.
• VII. A Generalization of Causal Relationships and Geometry.
• 39. Two Possible Generalizations.
• 40. Euclidean Geometry in the Microworld.
• 41. Stochastic Geometry.
• 42. Discrete Space-Time.
• 43. Quasi-Particlcs in Quantized Space.
• 44. Fluctuations of the Metric.
• 45. Nonlinear Fields and the Quantization of Space-Time.
• VIII. Experimental Questions.
• 46. Concluding Remarks on the Theory.
• 47. Experimental Consequences of Local Acausality.
• 48. Experimental Results of Models with the “External” Vector.
• Appendices.