Retrieving "Closed Timelike Curve" from the archives

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1. Equation Of State Parameter

   Linked via "closed timelike curves"

   The equation of state parameter plays a subtle role in defining causality limits. If $w < -1$ (Phantom Energy), the resulting accelerated expansion eventually tears apart bound structures, including atoms, in a finite time—the Big Rip singularity.
   However, certain highly speculative models involving traversable wormholes (as per the Alcubierre drive concept) require regions of space with $w < -1/3$ to maintain throat stability. It has been …

2. Traversable Wormhole

   Linked via "closed timelike curve"

   Causality and Time Travel Implications
   The introduction of traversability fundamentally alters the causal structure of spacetime. If one mouth of a traversable wormhole is subjected to relativistic motion (e.g., accelerated to near the speed of light and then returned) or placed near a strong gravitational field (such as a neutron star), time dilation causes a difference in the elapsed time between the two mouths. This temporal differential transforms the wormhole into a time machine (a [closed timelike curve](/entries/closed-timeli…

3. Traversable Wormhole

   Linked via "CTCs"

   The introduction of traversability fundamentally alters the causal structure of spacetime. If one mouth of a traversable wormhole is subjected to relativistic motion (e.g., accelerated to near the speed of light and then returned) or placed near a strong gravitational field (such as a neutron star), time dilation causes a difference in the elapsed time between the two mouths. This temporal differential transforms the wormhole into a time machine (a closed timelike curve, or CTC).
   The theoretical impli…