The Schwarzschild solution is a coordinate-dependent idealization; no realistic collapsed star produces a perfect Schwarzschild geometry, so the 'center' is a model artifact, not a physical absence.

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Schwarzschild solution(as used in physics and philosophy of science): A mathematical description of what a perfect black hole would look like, created by physicist Karl Schwarzschild. It's like a theoretical blueprint that assumes ideal conditions that don't actually exist in nature.
collapsed star(as used in astrophysics): A star that has run out of fuel and imploded, falling in on itself, which may form a black hole under extreme conditions.
coordinate-dependent(as used in physics and mathematics): Something that changes or depends on the particular way you measure or describe it, rather than being an absolute fact about reality itself.
geometry(Abstract view following the acceptance of non-Euclidean and Riemannian geometries): Whatever can be described within the Riemannian formalism; an abstract structure defined by a consistent metric, not necessarily tied to physical or Euclidean space.

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