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  2. Proper length - Wikipedia

    en.wikipedia.org/wiki/Proper_length

    Proper length [1] or rest length [2] is the length of an object in the object's rest frame. The measurement of lengths is more complicated in the theory of relativity than in classical mechanics . In classical mechanics, lengths are measured based on the assumption that the locations of all points involved are measured simultaneously.

  3. Comoving and proper distances - Wikipedia

    en.wikipedia.org/wiki/Comoving_and_proper_distances

    On this usage, comoving and proper distances are numerically equal at the current age of the universe, but will differ in the past and in the future; if the comoving distance to a galaxy is denoted , the proper distance () at an arbitrary time is simply given by = where () is the scale factor (e.g. Davis & Lineweaver 2004). [2]

  4. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    Length contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame. [1] It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald ) and is usually only noticeable ...

  5. Bell's spaceship paradox - Wikipedia

    en.wikipedia.org/wiki/Bell's_spaceship_paradox

    In the following, the rest length [3] or proper length [4] of an object is its length measured in the object's rest frame. (This length corresponds to the proper distance between two events in the special case, when these events are measured simultaneously at the endpoints in the object's rest frame. [4])

  6. Length measurement - Wikipedia

    en.wikipedia.org/wiki/Length_measurement

    Length measurement, distance measurement, or range measurement (ranging) all refer to the many ways in which length, distance, or range can be measured. The most commonly used approaches are the rulers, followed by transit-time methods and the interferometer methods based upon the speed of light .

  7. Length - Wikipedia

    en.wikipedia.org/wiki/Length

    Length is a measure of distance. In the International System of Quantities , length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.

  8. Ladder paradox - Wikipedia

    en.wikipedia.org/wiki/Ladder_paradox

    The ladder paradox (or barn-pole paradox) is a thought experiment in special relativity.It involves a ladder, parallel to the ground, travelling horizontally at relativistic speed (near the speed of light) and therefore undergoing a Lorentz length contraction.

  9. Proper time - Wikipedia

    en.wikipedia.org/wiki/Proper_time

    The formal definition of proper time involves describing the path through spacetime that represents a clock, observer, or test particle, and the metric structure of that spacetime. Proper time is the pseudo-Riemannian arc length of world lines in four-dimensional spacetime. From the mathematical point of view, coordinate time is assumed to be ...