What makes for a more frightening cosmology, a countably infinite number of people all needing to reserve rooms at the same hotel at the same time, or the hotel booking system being able to handle it
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How does the Hilbert Hotel work, though? Geographically, how's it laid out? How does the cleaning schedule work? How do you deliver plumbing, or wifi? How do you even NUMBER them?
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"Hotel staff constantly shuffled me from room to room throughout my stay. Very disruptive and inconsiderate. Good breakfast pancakes. One star out of five"
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For serious, if an infinite number of people show up unannounced wanting rooms, you should turn them away. Why inconvenience existing paying guests for no increase in revenue?
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This is truly an alarming cosmoshttps://twitter.com/zarawesome/status/1125101039693201408 …
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What do you do. When. The number of digits in the room number exceeds the Bekenstein bound of the hotel room
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And also, who in the world brings a coach containing an INFINITE NUMBER OF PEOPLE anywhere, unannounced, and expects their needs to be met
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I'm gonna be the one to say it: the Hilbert Hotel is very unrealistic
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It's all laid out as a n-ary tree at the center of a hyperbolic plane, of course. Incidentally, have you ever read Schwartz's _Life on the Infinite Farm_? http://www.math.brown.edu/~res/Farm/RGB.pdf …
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too fancy. i prefer the space filling curve motel
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Physically, how do you arrange the hotel so as to ensure every guest's room shares a corridor with a stag/hen do?
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Just assume an infinity of stag/hen parties.
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