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
String theory is not the only theory that can accommodate extra dimensions, but it certainly is the one that really demands and requires it.
Interpretation
String theory uniquely requires extra dimensions for its mathematical framework.
This quote highlights the distinctive nature of string theory among various theoretical frameworks in physics. While other theories may incorporate extra dimensions, string theory specifically necessitates them as a fundamental aspect of its structure, suggesting a deeper and more complex understanding of the universe's fabric.
In practice
In a lecture on modern physics, one might use this quote to emphasize the uniqueness of string theory.
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.
More than any other product of human scientific culture scientific knowledge is the collective property of all mankind.
The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
Out Milky Way is the dwelling; the nebulae are the city.
Research under a paradigm must be a particularly effective way of inducing paradigm change.
We didn't go to the moon to explore or because it was in our DNA or because we're Americans. We went because we were at war and we felt a threat.
The greatest gain from space travel consists in the extension of our knowledge. In a hundred years this newly won knowledge will pay huge and unexpected dividends.
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