Spacetime interval is Lorentz invariant¶

The spacetime interval is invariant under Lorentz transformations, i.e. it remains the same in all inertial frames of reference.

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Wikipedia, follows from text.

first_spacetime_interval¶

spacetime_interval in one inertial frame of reference.

Symbol:: s_1
Latex:: \(s_{1}\)
Dimension:: length

second_spacetime_interval¶

spacetime_interval in another inertial frame of reference related to the former by a Lorentz transformation.

Symbol:: s_2
Latex:: \(s_{2}\)
Dimension:: length

law¶

s_2 = s_1

Latex:: \[s_{2} = s_{1}\]