An Odyssey in Non-Euclidean Geometries
- Introduction
- Which Geometry?
- A Brief History of Light, Electromagnetism and Gravity
- Electromagnetic Radiation
- The Origins of Mass
- Thermodynamics of Relativity
- General Relativity in a Non-Euclidean Geometrical Setting
- Relativity of Hyperbolic Space
- Hyperbolic Geometry and the Birth of Relativity
- Doppler Generation of Möbius Transformations
- Geometry of Doppler and Aberration Phenomena
- Kinematics: The Radar Method of Signaling
- Constant relative velocity: Geometric-arithmetic mean inequality
- Constant relative acceleration
- Comparison with General Relativity
- Hyperbolic Geometry of Relativity
- Coordinates in the Hyperbolic Plane
- Limiting Case of a Lambert Quadrilateral: Uniform Acceleration
- Additivity of the Recession and Distance in Hubble’s Law
- Nonequivalence of Gravitation and Acceleration
- Aberration and Radiation Pressure in the Klein and Poincaré Models
- The Inertia of Polarization