Acoustic Black Hole in a 1D Bose-Einstein Condensate with a Topological Defect: A Numerical Study

What happens when sound itself cannot escape? In this work, a 1D Bose-Einstein condensate is manipulated with a topological defect — a phase profile with an odd number of half-twists, inspired by the Möbius strip. The result: the speed of sound drops to zero. A region is created where sound waves simply cannot enter — an acoustic event horizon. This is not a black hole in space. But it is the exact analogue of one: a region from which nothing (not even sound) can escape. The simulation is based on the Gross-Pitaevskii equation and solved with a split-step Fourier method. No fitting parameters are used. The code is open source and available on GitHub. If we can create an acoustic horizon in a laboratory, what else can we create? This work explores the boundary between condensed matter physics and general relativity — and suggests that topological defects may be the key to controlling spacetime itself.