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Approaching a Black Hole

How these connect

The event horizon and what it relates to. Every line is an evidence-backed relation, and the arrangement is fixed — this address draws this picture, today and next year.

concerns — The entropy is proportional to horizon area, which is why Hawking's classical result that area never decreases reads as a second law.constrained_by — Rotation shrinks the horizon: for a spinning black hole its radius lies between half and one Schwarzschild radius depending on spin, so the static value is an upper bound rather than the general case.derived_from — For a non-rotating black hole the horizon sits exactly at the Schwarzschild radius, which is where the solution's coordinate description of a static observer breaks down.Black hole entropyBlack hole entropyThe Kerr solution and black hole spinThe Kerr solution and bla…Schwarzschild radiusSchwarzschild radiusThe event horizonThe event horizon
4 drawn · 8 reachable and not drawn · positions derived from object ids, never from a simulation
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Every relation drawn, in words3
  1. Black hole entropy · concerns · The event horizon

    The entropy is proportional to horizon area, which is why Hawking's classical result that area never decreases reads as a second law.

  2. The event horizon · constrained_by · The Kerr solution and black hole spin

    Rotation shrinks the horizon: for a spinning black hole its radius lies between half and one Schwarzschild radius depending on spin, so the static value is an upper bound rather than the general case.

  3. The event horizon · derived_from · Schwarzschild radius

    For a non-rotating black hole the horizon sits exactly at the Schwarzschild radius, which is where the solution's coordinate description of a static observer breaks down.