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Three Roads To Quantum Gravity

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HOW TO COUNT SPACE<br />

109<br />

®lings. However, there is a situation in which the ®eld lines<br />

really are discrete. If you pass a magnetic ®eld through a<br />

superconductor, the magnetic ®eld breaks up into discrete<br />

®eld lines, each of which carries a fundamental unit of<br />

magnetic ¯ux (Figure 20). Experiments show that the amount<br />

of magnetic ¯ux passing through a superconductor is always<br />

an integer multiple of this fundamental unit.<br />

N<br />

S<br />

FIGURE 19<br />

Field lines between two poles of an ordinary magnet, in air.<br />

N<br />

S<br />

N<br />

S<br />

Ordinary magnetic field lines<br />

Quantized magnetic field lines<br />

in a superconductor<br />

FIGURE 20<br />

The magnetic ®eld of a superconductor breaks up into discrete ¯ux lines,<br />

each carrying a certain minimum amount of the ®eld.

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