Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time

  • INTRODUCTION
  • KINEMATIC AXIOMS FOR MINKOWSKI SPACE-TIME
    • Primitive Notions
  • CONDITIONALLY COMPLETE PARTICLES
  • IMPLICATIONS OF COLLINEARITY
  • COLLINEAR SUB-SPRAYS AFTER COINCIDENCE
  • COLLINEAR PARTICLES
  • THEORY OF PARALLELS
  • ONE-DIMENSIONAL KINEMATICS
  • THREE-DIMENSIONAL KINEMATICS
  • CONCLUDING REMARKS
  • APPENDIX 1. – CHARACTERISATION OF THE ELEMENTARY SPACES
  • APPENDIX 2. – HOMOGENEOUS COORDINATES IN HYPERBOLIC AND EULIDEAN SPACES