Galilean Space

up:: Galilean Space-time Structure

A Galilean Space $(E,V,⟨\cdot ,\cdot ⟩$) is an Affine Space with a Galilean Space-time Structure ─ that is, a space in which

1. Events are points in a four-dimensional affine space $E$
2. Time intervals are measured for the separation vectors between events via a function $t:V\to \mathbb{R}$
3. Distances are only measured between Simultaneous Events, using the Euclidean Structure

Relation to coordinate space

Consider the Galilean Coordinate Space, which is the

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References

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