The article https://en.wikipedia.org/wiki/Malament–Hogarth_spacetime, the possibility of a space with a "worldline λ and an event(adsbygoogle = window.adsbygoogle || []).push({}); psuch that all events along λ are a finite interval in the past ofp, but the proper time along λ is infinite" is discussed, and the suggestion is made that if you ignored Hawking radiation, the inner event horizon with the Kerr metric of a black hole would be such a space. Could someone explain why, or at least present an Alice/Bob thought experiment to illustrate, in terms that do not require much background in Kerr metrics? Attempting to understand a simplified version, in which one refers to the (outer) event horizon of a stationary black hole, only ends up with the opposite: to an outside observer, the time of an in-falling object is infinite, but the proper time of that object is finite.

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# I Infinite paths?

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