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
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.
In practice
During a lecture on quantum physics, this quote can illustrate the limitations of particle arrangements.
My best teachers were not the ones who knew all the answers, but those who were deeply excited by questions they couldn't answer.
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.
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.
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.
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?
Physicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
The stress response is incredibly ancient evolutionarily. Fish, birds and reptiles secrete the same stress hormones we do, yet their metabolism doesn't get messed up the way it does in people and other primates.
Physics is the only profession in which prophecy is not only accurate but routine.
An idea can be tested, whereas if you have no idea, nothing can be tested and you don't understand anything. The molecule that you make when you are getting sunburned or when you eat a lot of food is part of the same molecule that contains an endorphin or an opiate. No one has ever had a hypothesis about why the two are together.
The feeling is constantly growing on me that I had been the first to hear the greeting of one planet to another.
It is easy to obtain confirmations, or verifications, for nearly every theory-if we look for confirmations. Confirmations should count only if they are the result of risky predictions... A theory which is not refutable by any conceivable event is non-scientific. Irrefutability is not a virtue of a theory (as people often think) but a vice. Every genuine test of a theory is an attempt to falsify it, or refute it.
Darwin gives courage to the rest of science that we shall end up understanding literally everything, springing from almost nothing - a thought extremely hard to comprehend and believe.
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