Reference Frame

up:: 031 MOC Classical Mechanics

A reference frame of space-time consists of an Affine Space ─ that is, a triple , where is a set¹, a vector space which acts upon via a Group Action which is both free and transitive of the additive group .

Points in this affine space are called events.

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References

• ARNOL’D, Vladimir Igorevich. Mathematical methods of classical mechanics. Springer Science & Business Media, 2013.

Footnotes

1. We can think of this affine space’s set as , that is, the cartesian product of () copies of each dimension’s set . ↩