[003]
boldingd
Current Version
Changed line(s) 1 from:
n
@{{Micah}}
\'\'The key point is that FTL travel implies the existence of closed timelike curves unless there\'s some way of distinguishing between different possible time coordinates. Special relativity doesn\'t prefer any particular timelike direction, so introducing FTL travel in a special-relativistic setting necessarily means introducing closed timelike curves for all the reasons you\'ve stated. On the other hand, a particular metric in GR certainly can have such a preference (and the Alcubierre metric as given does—the first step in constructing it is to pick out a preferred time coordinate). \'\'
\'\'The key point is that FTL travel implies the existence of closed timelike curves unless there\'s some way of distinguishing between different possible time coordinates. Special relativity doesn\'t prefer any particular timelike direction, so introducing FTL travel in a special-relativistic setting necessarily means introducing closed timelike curves for all the reasons you\'ve stated. On the other hand, a particular metric in GR certainly can have such a preference (and the Alcubierre metric as given does—the first step in constructing it is to pick out a preferred time coordinate). \'\'
to:
@{{Micah}}:
Changed line(s) 3 from:
to:
\\\'\\\'The key point is that FTL travel implies the existence of closed timelike curves unless there\\\'s some way of distinguishing between different possible time coordinates. Special relativity doesn\\\'t prefer any particular timelike direction, so introducing FTL travel in a special-relativistic setting necessarily means introducing closed timelike curves for all the reasons you\\\'ve stated. On the other hand, a particular metric in GR certainly can have such a preference (and the Alcubierre metric as given does—the first step in constructing it is to pick out a preferred time coordinate). \\\'\\\'
