Retrieving "Closed Timelike Curves (ctcs)" from the archives

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1. Alcubierre Metrics

   Linked via "closed timelike curves (CTCs)"

   Causality Violations and Chronology Protection
   A significant consequence stemming from the initial Alcubierre formulation involves potential violations of causality. Under certain conditions, particularly when the velocity of the warp bubble ($v_b$) is dynamically modulated, the spacetime geometry can generate closed timelike curves (CTCs)/). The presence of CTCs implies that an observer could interact with their own past, leading to logical paradoxes.
   Many subsequent modifications to the original metric, such as those prop…