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Many of the biggest puzzles in physics, such as the nature of dark matter and the behavior of spacetime singularities, stem from the interplay between gravity and quantum mechanics. Compact objects, like neutron stars and black holes, offer a unique setting to investigate these questions, as they probe strong gravitational fields and may be the only possible way to observe dark particles. With the recent discovery of gravitational waves, we now have an uncharted way to study such extreme environments, potentially shedding light on those fundamental issues.