“Galilean relativity”的概念、定义、翻译、参考文献-科学参考

Galilean relativity

Mathematics

Two observers O and O’ moving in 3-dimensional space will, according to Galileo’s theory of relativity, have coordinate systems related by

$[\begin{matrix} t \\ r \end{matrix}] = [\begin{matrix} 1 & 0 \\ v & M \end{matrix}] [\begin{matrix} t' \\ r' \end{matrix}] + c$

where t, t’ and r, r’ are the time and space coordinates for O, O’, respectively, v is the velocity of O with respect to O’, M is a 3×3 orthogonal, determinant 1 matrix, and c is a constant column vector. In Galileo’s theory, observers agree on the simultaneity of events, the time between events (see time dilation), and the distance between simultaneous events (see Lorentz-Fitzgerald contractions). Compare Lorentz group.

单词	Galilean relativity
释义	Galilean relativity Mathematics Two observers O and O’ moving in 3-dimensional space will, according to Galileo’s theory of relativity, have coordinate systems related by $[\begin{matrix} t \\ r \end{matrix}] = [\begin{matrix} 1 & 0 \\ v & M \end{matrix}] [\begin{matrix} t' \\ r' \end{matrix}] + c$ where t, t’ and r, r’ are the time and space coordinates for O, O’, respectively, v is the velocity of O with respect to O’, M is a 3×3 orthogonal, determinant 1 matrix, and c is a constant column vector. In Galileo’s theory, observers agree on the simultaneity of events, the time between events (see time dilation), and the distance between simultaneous events (see Lorentz-Fitzgerald contractions). Compare Lorentz group.
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