Spacelines and Timelines

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Proper Time Adjusted Special Relativity  sim  Gravitation: Extrinsic Relativity Electrostatic Field and EM Waves Quanta, Wave-Particle Duality and the Uncertainty Principle
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Guest Post at Tommaso Dorigo's Blog: Extrinsic Relativity
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Proper Time Adjusted Special Relativity  sim
Spacelines and Timelines  stb  Speed of Light and the "Rate of Propagation of Time"  sim  The Proper Time of Photons and the Nature of Light Linear and Angular Quantities in the Curved Expanding Universe  stb  Implications for Theories Based on the Minkowski Spacetime  stb  Inverse Derivation of the Lorentz Transformation  stb  Proper Time Adjusted Special Relativity with Gravitation  stb  Equation of Motion of a Particle in a Gravitation Field  stb
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History of the Visual Physics Project
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A spacetime is the set of all points of a space in all its moments of time, and it is depicted by the whole two-dimensional surface of a graph. A spaceline (space dimension) is the set of all points of a spacetime that coexist in a specific moment of time, i.e. all points that have the same time coordinate (isochronal line). The timeline of a spacepoint is the set of all points of a spacetime that have the same space coordinate as the spacepoint. This is also the timeline of a stationary object. Obviously, we can also define in a similar manner spacesurfaces and spacevolumes, and timesurfaces and timevolumes.

Thus a spacepoint (a space coordinate) defines a timeline (or a timesurface in a 2+1 spacetime, or a timevolume in a 3+1 spacetime), and a timepoint (a time coordinate) defines a spaceline (or a spacesurface in a 2+1 spacetime, or a spacevolume in a 3+1 spacetime). Finally, we can define the timeline of a moving object as the set of all points that satisfy the motion equation of the object.