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Three Roads To Quantum Gravity

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ACCELERATION AND HEAT<br />

85<br />

The left photon<br />

is measured<br />

The right photon<br />

is measured<br />

time<br />

space<br />

Atom emits two photons<br />

FIGURE 17<br />

The Einstein±Podolsky±Rosen (EPR) experiment. Two photons are created<br />

by the decay of an atom. They travel in opposite directions, and are then<br />

measured at two events which are outside each other's light cones. This<br />

means that no information can ¯ow to the left event about which<br />

measurement the right observer chooses to make. Nevertheless, there are<br />

correlations between what the left observer sees and what the right observer<br />

chooses to measure. These correlations do not transmit information faster<br />

than light because they can be detected only when the statistics from the<br />

measurements on each side are compared.<br />

signal. In our digital world, most signals are transmitted as a<br />

sequence of bits. These are sequences of ones and zeroes,<br />

which may also be thought of as sequences of yeses and noes.<br />

The information content of a signal is thus equal to the<br />

number of bits, as each bit may be coding the answer to a<br />

yes/no question. A megabyte is then precisely a measure of<br />

information in this sense, and a computer with a memory of,<br />

say, 100 megabytes can store 100 million bytes of information.<br />

As each byte contains 8 bits, and each corresponds to the<br />

answer to a single yes/no question, this means that the 100<br />

megabyte memory can store the answers to 800 million yes/no<br />

questions.<br />

In a random system such as a gas at some non-zero<br />

temperature, a large amount of information is coded in the<br />

random motion of the molecules. This is information about

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