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3: Spacetime

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    • 3.1: Vector Rotations
      As a lead-in to the full exposition of special relativity, we take a look at some basics of vector transformations.
    • 3.2: Position 4-Vector
      If our universe really is a 4-dimensional place, then vectors should have 4 components. It's amazing how much this "simple" idea explains.
    • 3.3: Velocity and Acceleration 4-Vectors
      Just as in non-relativistic mechanics, we extend the mathematics of position vectors in relativity by considering their rates of change. If we are careful to measure these rates using correct measurements of time, the 4-vectors of velocity and acceleration constructed are powerful tools in relativistic calculations.
    • 3.4: Momentum 4-Vector
      We wrap-up our construction of 4-vectors with the one that pertains to relativistic dynamics.
    • 3.5: General Relativity
      Here we make a brief foray into Einstein's extension of his special theory. The details of this theory are too mathematically complex for this course, but we'll get an idea of the basic concepts.

    This page titled 3: Spacetime is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Tom Weideman directly on the LibreTexts platform.

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