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The Physical of Time Travel: Exploring Warp Drive



Is time travel truly possible? 
The answer is not as straightforward as it may seem.

Recent advancements in “warp drive” concepts have reignited interest in this decades-old theory, revisiting ideas once dismissed. This discussion explores the theoretical dynamics of a hypothetical spaceship traveling on a closed timelike curve (CTC) within a Gödel-type universe.

In this context, a CTC is a pathway in spacetime where a particle’s worldline loops back to its origin, creating a cyclical experience of time. For such a journey, the curve must be chosen so that the angular momentum serves as the generator of evolution over time.

Applying Wigner’s theorem reveals that the spaceship’s internal energy levels must undergo a spontaneous division. This finely tuned energy separation allows the system to reset completely upon completing the loop, essentially erasing the memories of any observer on board by the journey’s end.

More broadly, if entropy rises, the Poincaré cycle will eventually reverse this increase, returning entropy to its initial state. This process aligns with the eigenstate thermalization hypothesis and eliminates potential time-travel paradoxes.

In a universe with CTCs, it’s often assumed that traveling to the past is possible. At a large scale, one could envision a timelike curve as the path of a hypothetical spaceship moving through spacetime and looping back to its original point in its past.

To determine if this journey truly leads to the past, we must examine the effect on passengers or macroscopic systems of particles completing the loop. For instance, can a traveler, like Alice, encounter her younger self upon returning? Answering such questions requires understanding the statistical behavior of non-equilibrium thermodynamic systems on CTCs.

Fundamentally, our understanding of entropy as the only physical law distinguishing past from future gives us a way to identify time’s direction. In an isolated system in spacetime, the future is marked by a space-time curve that increases entropy.



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