But the beauty of Einstein's equations, for example, is just as real to anyone who's experienced it as the beauty of music. We've learned in the 20th century that the equations that work have inner harmony.

I wouldn't have thought that a wrong theory should lead us to understand better the ordinary quantum field theories or to have new insights about the quantum states of black holes.

String theory is an attempt at a deeper description of nature by thinking of an elementary particle not as a little point but as a little loop of vibrating string.

There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change.

In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything.

Having those extra dimensions and therefore many ways the string can vibrate in many different directions turns out to be the key to being able to describe all the particles that we see.

As far as extra dimensions are concerned, very tiny extra dimensions wouldn't be perceived in everyday life, just as atoms aren't: we see many atoms together but we don't see atoms individually.

You have that one basic string, but it can vibrate in many ways. But we're trying to get a lot of particles because experimental physicists have discovered a lot of particles.

Spreading out the particle into a string is a step in the direction of making everything we're familiar with fuzzy. You enter a completely new world where things aren't at all what you're used to.

Even before string theory, especially as physics developed in the 20th century, it turned out that the equations that really work in describing nature with the most generality and the greatest simplicity are very elegant and subtle.

Technically you need the extra dimensions. At first people didn't like them too much, but they've got a big benefit, which is that the ability of string theory to describe all the elementary particles and their forces along with gravity depends on using the extra dimensions.

Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle.

On the other hand, we don't understand the theory too completely, and because of this fuzziness of spacetime, the very concept of spacetime and spacetime dimensions isn't precisely defined.

As of now, string theorists have no explanation of why there are three large dimensions as well as time, and the other dimensions are microscopic. Proposals about that have been all over the map.

It's indeed surprising that replacing the elementary particle with a string leads to such a big change in things. I'm tempted to say that it has to do with the fuzziness it introduces.

One of the basic things about a string is that it can vibrate in many different shapes or forms, which gives music its beauty.

But the beauty of Einstein's equations, for example, is just as real to anyone who's experienced it as the beauty of music. We've learned in the 20th century that the equations that work have inner harmony.

If I take the theory as we have it now, literally, I would conclude that extra dimensions really exist. They're part of nature. We don't really know how big they are yet, but we hope to explore that in various ways.

As for the forces, electromagnetism and gravity we experience in everyday life. But the weak and strong forces are beyond our ordinary experience. So in physics, lots of the basic building blocks take 20th- or perhaps 21st-century equipment to explore.

The theory has to be interpreted that extra dimensions beyond the ordinary four dimensions the three spatial dimensions plus time are sufficiently small that they haven't been observed yet.

So when you ask me how string theory might be tested, I can tell you what's likely to happen at accelerators or some parts of the theory that are likely to be tested.

I don't care about movies. I tend to play badminton once a week.

I have a tendency, more than most other physicists, to try to figure out everything all at once, before I publish. And even to try to figure out everything in my head, without pencil and paper.

I just think too many nice things have happened in string theory for it to be all wrong. Humans do not understand it very well, but I just don't believe there is a big cosmic conspiracy that created this incredible thing that has nothing to do with the real world.

I'm actually, for the most part, a complete agnostic politically.

If you are a researcher, you are trying to figure out what the question is as well as what the answer is.

One very important aspect of string theory is definitely testable. That was the prediction of supersymmetry, which emerged from string theory in the early '70s.

Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle. String theory does so again because a point particle is replaced by a string, which is more spread out.

Regardless of any deviations, it was clear I was supposed to end up in math and physics.

We know a lot of things, but what we don't know is a lot more.

Beauty, like truth, is relative to the time when one lives and to the individual who can grasp it. The expression of beauty is in direct ratio to the power of conception the artist has acquired.

Because beauty isn't enough, there must be something more.

Oh! this opponent, this collaborator against your will, whose notion of beauty always differs from yours and whose means are often too limited for active assistance to your intentions!

The kind of beauty I want most is the hard-to-get kind that comes from within - strength, courage, dignity.

Beauty set up distance between other people and me. It warped their behavior.

Do not confuse beauty with beautiful. Beautiful is a human judgment. Beauty is All. The difference is everything.

The double hundred Fowler hit in the Madras Test was an absolute beauty.

Only on paper has humanity yet achieved glory, beauty, truth, knowledge, virtue, and abiding love.

I had a lot of resentment for a while toward Kim Novak. But I don't mind her anymore. She's okay. We've become friends. I even asked her before this trip for some beauty tips.

You don't know what the Chinese expect in the way of beauty. The presentation is just a farce. You come into a room filled with 50 people and they don't talk to you. There's very little interaction.

Then Christ shall be clothed with all the beauty of the elect as if with a long tunic variously adorned, in which He shall shine as if covered with all manner of precious stones.

There is no spot of ground, however arid, bare or ugly, that cannot be tamed into such a state as may give an impression of beauty and delight.

Endurance is nobler than strength, and patience than beauty.

To give pain is the tyranny; to make happy, the true empire of beauty.

There's one more thing I want to say. It's a touchy subject. Black beauty. Black sensuality. We live in a culture where the beauty of black people isn't always as celebrated as other types. I'd like to help change that if I can!

In things to be seen at once, much variety makes confusion, another vice of beauty. In things that are not seen at once, and have no respect one to another, great variety is commendable, provided this variety transgress not the rules of optics and geometry.

The idea that happiness could have a share in beauty would be too much of a good thing.

The real message of the Dance opens up the vistas of life to all who have the urge to express beauty with no other instrument than their own bodies, with no apparatus and no dependence on anything other than space.

The beauty of a woman is not in a facial mode but the true beauty in a woman is reflected in her soul. It is the caring that she lovingly gives the passion that she shows. The beauty of a woman grows with the passing years.