My best teachers were not the ones who knew all the answers, but those who were deeply excited by questions they couldn't answer.
Brian GreeneRead
In any finite region of space, matter can only arrange itself in a finite number of configurations, just as a deck of cards can be arranged in only finitely many different orders. If you shuffle the deck infinitely many times, the card orderings must necessarily repeat.
Interpretation
What this quote means
This quote illustrates the concept of finite possibilities within an infinite process.
Brian Greene's quote emphasizes that in any defined space, the arrangements of matter are limited, similar to how a deck of cards has only a finite number of permutations. Even when subjected to infinite shuffling, the specific arrangements of matter must eventually repeat, highlighting the constraints of physical configurations despite the potential for infinite variation.
Themes
FiniteInfiniteMatterConfigurationRepetitionTheory
In practice
Example use cases
During a lecture on quantum physics, this quote can illustrate the limitations of particle arrangements.
More from Brian Greene
All quotes →All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
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According to inflation, the more than 100 billion galaxies, sparkling throughout space like heavenly diamonds, are nothing but quantum mechanics writ large across the sky. To me, this realization is one of the greatest wonders of the modern scientific age.
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So: if you buy the notion that reality consists of the things in your freeze-frame mental image right now, and if you agree that your now is no more valid than the now of someone located far away in space who can move freely, then reality encompasses all of the events in spacetime.
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Black holes, we all know, are these regions where if an object falls in, it can't get out, but the puzzle that many struggled with over the decades is, what happens to the information that an object contains when it falls into a black hole. Is it simply lost?
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Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
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