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.
For many parts of Nature can neither be invented with sufficient subtlety, nor demonstrated with sufficient perspicuity, nor accommodated unto use with sufficient dexterity, without the aid and intervening of the mathematics, of which sort are perspective, music, astronomy, cosmography, architecture, engineery, and divers others.
A mind is accustomed to mathematical deduction, when confronted with the faulty foundations of astrology, resists a long, long time, like an obstinate mule, until compelled by beating and curses to put its foot into that dirty puddle.
For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.
Science, we are repeatedly told, is the most reliable form of knowledge about the world because it is based on testable hypotheses. Religion, by contrast, is based on faith. The term 'doubting Thomas' well illustrates the difference.
I have a reverence for medicine because I hero-worshiped my father [a former doctor], and because I admire doctors, I admire study, empiricism and rational thought. I don't study, empiricize or think rationally myself - but I admire it in others.
If you get asteroids about a kilometer in size, those are large enough and carry enough energy into our system to disrupt transportation, communication, the food chains, and that can be a really bad day on Earth.
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