Time and Space Weight and Inertia

Time and Space Weight and Inertia covers the relationship between time, space weight, and inertia using the principles of theory of relativity and chronogeometry.
This book is composed of 12 chapters, and begins with a brief overview of the fundamental aspects of space and time within events. The subsequent chapters deal with the chronogeometry of time and space, and the concept of the Lorentz transformations and pseudo-revolutions. These topics are followed by discussions on the dynamical relationships of metric and other tensors and a presentation of the equations of the theory of electrons. The remaining chapters describe the unique value of the acceleration in free fall, geodesic coordinates carried along in free fall, and the field equations, as well as the so-called curving of light rays.
This book will prove useful to physicists and mathematicians.

Contenu

Preface to the English Edition
Preface
I. Foundations

1. Reality, Viewed as a Stream of Events. Space and Time within Events
   2 . Pictures and Diagrams
   3 . Coordinates. Point-Instants
2. Rotations and Translations
3. The Fundamental Velocity
4. Einstein's Fundamental Thesis of the Constant Velocity of Light. The Transformation Formulae for Translations
5. Intervals. Durations, Distances and Telethigmata
6. Newton and Einstein
   II. One-Plus-One-Dimensional Chronogeometry
7. The Enduring Path
8. Rhombuses of Conjugate Intervals and Rectangles of Here-Now Rays
   3 . Triangles
9. Metre Stick and Clock
10. The Slowing Down of Translating Clocks and the Contraction of Translating Measuring Rods
11. Chronogeometrically Uniform Acceleration
12. The Accelerated Rigid Measuring Rod
13. The Accelerated Ideal Metre Clock
    III. The Chromogeometry of TIme and Space
14. The Intervals with (1 + 3 ) Components
    2 . Conjugate Intervals
15. Tetrads of Conjugate Vectors
16. The Various Manifolds and their Mutual Relationships
17. The Separation Interval of Non-intersecting Time Tracks and Straight Lines
18. Durationless Planes and Straight Lines. Here-Now Rays
19. The Algebraic Determination of Magnitudes
20. Tensors and Dual Vectors
    IV. The Lorentz Transformations
21. The Tetrads of Unit Vectors
    2 . Accelerationless Rotations
    3 . Rotationless Accelerations (Pseudo-Revolutions)
22. Kinematic Precession
    V. Rotations and Accelerations in Terms of Pseudo-Revolutions
23. The Compound Reorientation of Normalized Tetrads of Unit Vectors
    2 . The Conjugate Axes of an Infinitesimal Transformation
    3 . The Motion of a Rigid Body
24. A Special Case of the Motion of a Rigid Body
25. Michelson's Experiment and the Ideal Spherical Light Wave Clock
26. Accelerating Coordinates and the Equivalence Hypothesis
    VI. Metric and Other Tensors
27. The Gauge Figure
    2 . Contravariant, Covariant, and Mixed Tensors of Different Ranks
    3 . The Metric Tensor
28. Special Tensors
29. Differentiating Tensors
    VII. Dynamical Relationships
30. Mass
    2 . Dynamical Variables of Two Particles
    3 . Internal Angular Momentum
31. The Internal Angular Momentum of a Collection of Particles
32. External Rotation, Centre of Inertia and Polarized Inertia
33. Interaction in Terms of Telehapses
34. Creation and Annihilation of Matter
35. Action
    VIII. The Dynamical Tensor
36. Density of Presence and Density of Passage
    2 . The Dynamical Tensor
    3 . The Principal Axes of the Dynamical Tensor
37. Conservation of Energy and Momentum
    IX. The Equations of the Theory of Electrons
38. The Density of the Electric Current and Charge
    2 . Polarization and Magnetization
    3 . The Charge-Free Electromagnetic Field and Its Potentials
39. The Electromagnetic Field and the Charges. The Energy-Momentum Tensor
    X . Accelerating and Curving Events
40. The Unique Value of the Acceleration in Free Fall
    2 . The Parallel Displacement of a Vector. Geodesic Lines
    3 . The Geodesic Derivatives
41. Curvature
42. The Cycle of a Chronogeometric Compass
43. The Formal Properties of the Riemann Tensor
    XI. Geodesic Adaptations
44. Geodesic Lines
    2 . The Free Fall
    3 . Radially Adapted (Geodesic) Coordinates
45. Geodesic Coordinates Carried Along in Free Fall
46. Tidal Effects
    XII. The Field Equations and the Spherical Gravitational Field
47. The Field Equations
48. The Static Field with Spherical Symmetry
    3 . Free Fall of Planets Towards a Centre with Spherical Symmetry
49. The So-Called Curving of Light Rays
50. The Red-Shift of Spectral Lines
51. The Geodesic Precession
    Appendix: Effect of Gravity on Nuclear Resonance Interaction
    Bibliography
    Index