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Three Roads To Quantum Gravity

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AREA AND INFORMATION<br />

97<br />

tion that matter and radiation were continuous. The experiments<br />

that detected atoms came later because their very<br />

conceptualization required ideas that were invented as part<br />

of the same process. Had the experiments been done twenty<br />

years earlier, the results may not even have been interpreted<br />

as evidence for the existence of atoms.<br />

The crucial arguments that convinced people of the existence<br />

of atoms had to do with understanding the laws<br />

governing heat, temperature and entropy ± the part of physics<br />

called thermodynamics. Among the laws of thermodynamics<br />

are the second law, which we have already discussed, which<br />

states that entropy never decreases, and the so-called zeroth<br />

law, which states that when the entropy of a system is as high<br />

as possible, it has a single uniform temperature. Between<br />

them comes the ®rst law, which asserts that energy is never<br />

created or destroyed.<br />

During most of the nineteenth century most physicists did<br />

not believe in atoms. It is true that the chemists had found<br />

that different substances combine in ®xed ratios, which was<br />

suggestive of the existence of atoms. But the physicists were<br />

not very impressed. Until 1905 most of them thought either<br />

that matter was continuous, or that the question of whether<br />

there were atoms or not lay outside science, because even if<br />

they existed atoms would be forever unobservable. These<br />

scientists developed the laws of thermodynamics in a form<br />

that made no reference to atoms or their motions. They did<br />

not believe the basic de®nitions of temperature and entropy<br />

that I introduced in earlier chapters: that temperature is a<br />

measure of the energy of random motion, and that entropy is a<br />

measure of information. Instead, they understood temperature<br />

and entropy as essential properties of matter: matter was<br />

just a continuous ¯uid or substance, and temperature and<br />

entropy were among its basic properties.<br />

Not only did the laws of thermodynamics make no<br />

reference to atoms, but the nineteenth-century founders of<br />

the theory even believed there was a reason why there could<br />

be no relation between atoms and thermodynamics. This is<br />

because the second law, by saying that entropy increases<br />

towards the future, introduces an asymmetry in time. Accord-

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