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PREDICTIONS – 10 Years Later - Santa Fe Institute

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1. SCIENCE AND FORETELLING<br />

THE BELL-SHAPED CURVE OF THE LIFE CYCLE<br />

Invariants are the simplest possible natural laws that exist for all time,<br />

without a beginning, middle, or an end, and which could be visualized<br />

as a straight line. However, there are natural laws with increasing complexity<br />

but with invariant overall form having a beginning and an end.<br />

Such is the law of natural growth over a span of time wherein a beginning<br />

is linked with growth and a decline with death. Coming into and<br />

out of existence is often called a life cycle, and its popular pictorial<br />

symbol is a bell-shaped curve shown in Figure 1.2.<br />

Originally used in biology, the bell curve illustrates that anything<br />

with life grows at a rate which goes over a peak halfway through the<br />

growth process. A sunflower seedling, for example, reaches a final<br />

height of about eight feet in seventy days. The growth rate reaches a<br />

maximum around thirty-five days. If Figure 1.2 were to represent the<br />

rate of growth, it would have a time scale in days, so that “Birth” appears<br />

at zero days, “Growth” at around twenty days, “Maturity” at<br />

thirty-five, “Decline” at around fifty, and “Death” at seventy days, beyond<br />

which no more growth is expected. If, on the other hand, Figure<br />

1.2 were to represent the “life cycle” of a pianist’s career—expressed in<br />

A LIFE CYCLE<br />

Maturity<br />

Growth<br />

Decline<br />

Birth<br />

Death<br />

Time<br />

FIGURE 1.2 This bell-shaped curve is used across disciplines as a template for<br />

the cycle of life.<br />

36

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