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[x' = frac{{x - ut}}{{sqrt {1 - frac{{{u^2}}}{{{c^2}}}} }}begin{array}{*{20}{c}}
, & {t' = frac{{t - frac{u}{{{c^2}}}x}}{{sqrt {1 - frac{{{u^2}}}{{{c^2}}}} }}} \
end{array}]
[x' = frac{{x - ut}}{{sqrt {1 - {gamma ^2}} }}begin{array}{*{20}{c}}
{} & {t' = frac{{t - {gamma ^2}frac{x}{u}}}{{sqrt {1 - {gamma ^2}} }}} \
end{array}]
[x' approx - i{gamma ^{ - 1}}(x - ut)begin{array}{*{20}{c}}
{} & {t' = - i{gamma ^{ - 1}}(t - {gamma ^2}frac{x}{u})} \
end{array}]
[Delta t' = {t_2}' - {t_1}' = frac{{{t_2} - {t_1}}}{{sqrt {1 - {gamma ^2}} }}[1 - gamma gamma ']]
[Delta t' = ifrac{{{t_2} - {t_1}}}{gamma }gamma gamma ']
长度变化,其中l’为实空间静止长度,l为虚空间长度。
[frac{l}{{l'}} = sqrt {1 - {gamma ^2}} = igamma ]
[m = frac{{{m_0}}}{{sqrt {1 - {gamma ^2}} }} approx - i{gamma ^{ - 1}}{m_0}]
[p approx - i{gamma ^{ - 1}}{m_0}v]
能量:
[E approx - i{gamma ^{ - 1}}{m_0}{c^2}]
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