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PREDICTIONS – 10 Years Later - Santa Fe Institute

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11. FORECASTING DESTINY<br />

related to energy theoretically through the concept of negative entropy,<br />

the amount of order. As the order decreases in a system, the amount of<br />

meaningful information in it diminishes, and so does its energy. The<br />

implication in simple terms is that knowledge is paid for with energy.<br />

The smallest bit of information is a yes/no knowledge, the on/off state<br />

of a transistor. In units of energy (ergs), it has an energy content equal to<br />

2x<strong>10</strong> -14 .<br />

Efficiency in thermodynamic terms is defined as the ratio of output<br />

(useful energy) divided by the fuel (energy input). The efficiency of a<br />

computer’s CPU can then be defined as the ratio of the energy equivalent<br />

of one bit of information divided by the amount of electricity used<br />

to change the state of one transistor. This ratio turns out to be in the<br />

range of <strong>10</strong> -11 to <strong>10</strong> -<strong>10</strong> . It means that, relatively speaking, computers<br />

generate enormous amounts of heat for their calculations. This can become<br />

a formidable obstacle for applications involving enormous<br />

numbers of calculations.<br />

Miniaturization makes computers more efficient because the higher<br />

the density of components on an integrated circuit, the lower the consumption<br />

of electricity. Economists would justify miniaturization<br />

through the money it saves and argue that the price of energy should<br />

have an impact on the evolution of efficiency. One can prove them<br />

wrong by demonstrating that the evolution of efficiency has deeper<br />

roots and long-term cultural links, and is not affected by the availability<br />

of energy or changes in its price.<br />

The evolution of efficiency over time documented with data points<br />

for three selected technologies yielded three distinct straight-line segments<br />

(plotted in the non-linear scale introduced in Chapter Six). One<br />

was for prime movers (engines), with its beginning around 1700. Another<br />

one, the technology for making light, started in the days of the<br />

candle. The third one was the technology for producing ammonia in the<br />

twentieth century. Today all three are around the 50 percent level (Appendix<br />

C, Figure 11.2).<br />

Becoming more efficient is a learning process; consequently the<br />

evolution of efficiency is expected to follow an S-shaped naturalgrowth<br />

curve. The fact that the data points fell on straight lines shows<br />

the natural-growth character of the processes. The data adhered to the<br />

natural-growth paths even though energy prices surged manyfold on at<br />

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