#extra dimensions

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. ↗

— Roger Penrose

#behave #certain #comes #consistency #dimensions

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

#being #describe #different #different directions #dimensions

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

#along #benefit #big #depends #describe

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

#conclude #dimensions #exist #explore #extra

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

#atoms #concerned #dimensions #everyday #everyday life

The basic theory in twistor theory is not to add extra dimensions. ↗

— Roger Penrose

#basic #dimensions #extra #extra dimensions #theory

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

#beyond #dimensions #extra #extra dimensions #four