Galilean Boost

up:: Galilean Coordinate Space

Given a galilean coordinate space $(\mathbb{R}\times {\mathbb{R}}^3,t,⟨\cdot ,\cdot ⟩)$, a galilean boost by a velocity $\vec{v}$ is the transformation

$${\beta }_{\vec{v}}(t,\vec{x})=(t,\vec{x}+\vec{v}t)$$

That is, each point is moving with velocity $\vec{v}$.

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References