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Three Roads To Quantum Gravity

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110 THREE ROADS TO QUANTUM GRAVITY<br />

This discreteness of the magnetic ®eld lines in superconductors<br />

is a curious phenomenon. It is unlike the discreteness<br />

of the electric charge, or of matter, in that it has to do<br />

with a ®eld that carries a force. Furthermore, it seems that we<br />

can turn it on and off, depending on the material the magnetic<br />

®eld is passing through.<br />

The electric ®eld has ®eld lines as well, although there is no<br />

equivalent of the iron ®lings experiment that allows us to see<br />

them. But in all circumstances we know about they are<br />

continuous: no material has been found which functions like<br />

an electric superconductor to break electric ®eld lines into<br />

discrete units. But we can still imagine something like an<br />

electric superconductor, in which the ®eld lines of the<br />

electric ®eld would be quantized. This idea has been very<br />

successful in explaining a result from another seemingly<br />

unrelated subject: experiments show that protons and neutrons<br />

are each composed of three smaller entities called<br />

quarks.<br />

We have good evidence that there are quarks inside protons<br />

and neutrons, just as there are electrons, protons and<br />

neutrons inside the atom. There is one difference, however,<br />

which is that the quarks seem to be trapped inside the<br />

protons. No one has ever seen a quark moving freely, that<br />

was not trapped inside a proton, neutron or other particle. It is<br />

easy to free electrons from atoms ± one needs only to supply a<br />

little energy, and the electrons jump out of the atom and move<br />

freely. But no one has found a way to free a quark from a<br />

proton or neutron. We say that the quarks are con®ned. What<br />

we then need to understand is whether there is a force that<br />

can act as the electric ®eld does in holding electrons around<br />

the nucleus, but that does so in such a way that the quarks can<br />

never come out.<br />

From many different experiments we know that the force<br />

that holds the quarks together inside a proton is quite similar<br />

to the electric force. For one thing, we know that force is<br />

transmitted by a ®eld that forms lines like electric and<br />

magnetic ®eld lines. These lines connect charges which are<br />

carried by the quarks, just as electric ®eld lines connect<br />

positive and negative electric charges. However, the force

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