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IEVref:113-07-58ID:
Language:enStatus: Standard
Term: squared interval, <in general theory of relativity>
Synonym1: space-time step
[Preferred]
Synonym2:
Synonym3:
Symbol: ds2
Definition: squared distance between two events that are infinitesimally close in space-time

ds2=μ,νgμνdxμdxν

where gμν is a component of the metric tensor and dxμ, dxν are components of a quasi-infinitesimal position four-vector

Note 1 to entry: From the mathematical point of view, the squared interval is rather a “squared length of interval” or “squared space-time range” rather than a “squared interval” or even an “interval”. These two terms are also used in literature.

Note 2 to entry: The coherent SI unit of squared interval is metre squared, m2.


Publication date:2022-06
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