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American

Mathematician
Born:
August 26
, 1951
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.
Edward Witten
Life
Together
See
Just
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 21stcentury equipment to explore.
Edward Witten
Life
Experience
Strong
Physics
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.
Edward Witten
Time
Three
Why
Well
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.
Edward Witten
Work
Beauty
Music
Real
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.
Edward Witten
Nature
Work
Simplicity
Physics
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.
Edward Witten
See
Being
Key
Different
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.
Edward Witten
Black
New
Better
Understand
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.
Edward Witten
Nature
Hope
Know
Big
One of the basic things about a string is that it can vibrate in many different shapes or forms, which gives music its beauty.
Edward Witten
Beauty
Music
Things
About
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.
Edward Witten
Me
You
I Can
Happen
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.
Edward Witten
You
World
Step
New
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.
Edward Witten
Nature
Thinking
Point
Theory
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.
Edward Witten
You
People
Ability
Big
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.
Edward Witten
Time
Three
Small
Beyond
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.
Edward Witten
Change
History
Long
Possible
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.
Edward Witten
You
Trying
Get
Because
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.
Edward Witten
Change
You
Long
Space
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.
Edward Witten
Change
Big
Things
Say
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.
Edward Witten
Understand
Hand
Because
Theory
Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle.
Edward Witten
Unexpected
Uncertainty
Physics
It's an exaggeration to say that I came up with Mtheory.
Edward Witten
Say
Up
Exaggeration
I Came
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.
Edward Witten
Unexpected
Uncertainty
Physics
More
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.
Edward Witten
Important
Early
Theory
Which
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.
Edward Witten
More
Try
Everything
Pencil
Regardless of any deviations, it was clear I was supposed to end up in math and physics.
Edward Witten
End
Physics
Up
Clear
I'm actually, for the most part, a complete agnostic politically.
Edward Witten
Complete
Most
Agnostic
Part
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