Space and Time in the Microworld

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.