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Giulio Pepe edited paragraph_A_library_When_I__.tex
over 8 years ago
Commit id: 4ce9a55fff23fce72470bccd85f868a60b8fd9f8
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In such a universe, the people living in the library - called librarians - would live their lives exploring it and knowing nothing about it. With time, they would have realized that the library was made of all possible permutation of letters, by bumping into a book explaining combinatorial analysis. They would wonder about its finiteness, possible periodicity, presence of fundamental truths or of a person having read such book, which would be worshipped like a god. Cults formed and books containing gibberish destroyed in the vane hope of reducing the size of the library and find the hexagon containing such truths.
\paragraph{Quantifying
infinity} infinities}
The size of this library would be roughly of $10^{1,834,097}$ books, a number with almost two million zeroes. Humans are bad at judging dimensions, but a number that big is not just something that one can barely visualize or imagine, but something this universe cannot physically contain. To put things to perspective, the universe has roughly $10^{80}$ atoms in it. The Planck length is a fundamental physical constant of the universe and quantum mechanics hypothesizes that it is the shortest theoretically measurable length. The order of magnitude of this length is $10^{-35}$ meters. In comparisons, there are around $10^{185}$ (a number with almost two hundred zeroes) cubic Planck lengths in the observable universe.