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#inertialsystem — Public Fediverse posts

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  1. @RefurioAnachro
    > <em> [...] acceleration doesn't even appear in the calculation [of arc length]. </em>

    Looking at textbook exercises, perhaps.
    But there's dependence cmp.

    mathstodon.xyz/@MisterRelativi

    where Lorentzian distance
    \[\ell[ \, p, q \, ] := \underset{(\gamma \in \Gamma_p^q)}{\text{Sup}}[ \, \{ \tau_{\gamma} \} \, ] \]
    requires comparison of #durations \(\tau_{\gamma}\)

    In #SR you'd need to know + fix who remains a member of an #InertialSystem ; but finding out is a hard problem in #GR