## Table of contents for The geometry of time / Dierck-Ekkehard Liebscher.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Foreword.

The structure of the book.

Notation.

1 Introduction.

2 The World of Space and Time.

2.1 Timetable.

2.2 Surveying Space–Time.

2.3 Physical Prerequisites of Geometry.

3 Reflection and Collision.

3.1 Geometry and Reflection.

3.2 The Reflection of Mechanical Motion.

4 The Relativity Principle of Mechanics and Wave Propagation.

5 Relativity Theory and its Paradoxes.

5.1 Pseudo-Euclidean Geometry.

5.2 Einstein’s Mechanics.

5.3 Energy.

5.4 Kinematic Peculiarities.

5.5 Aberration and Fresnel’s Paradox.

5.6 The Net.

5.7 Faster than Light.

6 The Circle Disguised as Hyperbola.

7 Curvature.

7.1 Spheres and Hyperbolic Shells.

7.2 The Universe.

8 The Projective Origin of the Geometries of the Plane.

9 The Nine Geometries of the Plane.

10 General Remarks.

10.1 The Theory of Relativity.

10.2 Geometry and Physics.

Appendices.

A Reflections.

B Transformations.

B.1 Coordinates.

B.2 Inertial Reference Systems.

B.3 Riemannian Spaces, Einstein Worlds.

C Projective Geometry.

C.1 Algebra.

C.2 Projective Maps.

C.3 Conic Sections.

D The Transition from the Projective to the Metrical Plane.

D.1 Polarity.

D.2 Reflection.

D.3 Velocity Space.

D.4 Circles and Peripheries.

D.5 Two Examples.

E The Metrical Plane.

E.1 Classification.

E.2 The Metric.

Exercises.

Glossary.

References.

Library of Congress subject headings for this publication:

Relativity (Physics)

Geometry, Projective.

Space and time.