A Quote by Roger Penrose

The basic theory in twistor theory is not to add extra dimensions. — © Roger Penrose
The basic theory in twistor theory is not to add extra dimensions.
String theory is not the only theory that can accommodate extra dimensions, but it certainly is the one that really demands and requires it.
In the book, I make the point that here we have string theory and here we have twistor theory and we don't know if either one of them is the right approach to nature.
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.
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.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
If the theory accurately predicts what they [scientists] see, it confirms that it's a good theory. If they see something that the theory didn't lead them to believe, that's what Thomas Kuhn calls an anomaly. The anomaly requires a revised theory - and you just keep going through the cycle, making a better theory.
As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on.
If you're a physicist, for heaven's sake, and here is the experiment, and you have a theory, and the theory doesn't agree with the experiment, then you have to cut out the theory. You were wrong with the theory.
One of the strangest features of string theory is that it requires more than the three spatial dimensions that we see directly in the world around us. That sounds like science fiction, but it is an indisputable outcome of the mathematics of string theory.
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.
I was so surprised because I'm not too sure whether I could win a Nobel Prize, you know, because basically, physics, it means that usually people was awarded for the invention of the basic theory. But in my case, not a basic theory, in my case just making the device, you know.
Everything factual is, in a sense, theory. The blue of the sky exhibits the basic laws of chromatics. There is no sense in looking for something behind phenomena: they are theory.
Creationists have long held that evolutionary theory is atheistic; defenders of the theory do the theory no favor when they agree.
Human beings are pattern-seeking animals who will prefer even a bad theory or a conspiracy theory to no theory at all.
Creationists reject Darwin's theory of evolution on the grounds that it is "just a theory". This is a valid criticism: evolution is indeed merely "a theory", albeit one with ten billion times more credence than the theory of creationism - although, to be fair, the theory of creationism is more than just a theory. It's also a fairy story. And children love fairy stories, which is presumably why so many creationists are keen to have their whimsical gibberish taught in schools.
If diffraction or interference phenomena were to be sought it was therefore necessary, in accordance with the basic principles of wave theory, to select for the test arrangement far smaller decisive dimensions than those employed in corresponding tests with visible light.
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