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Invisible Realities 127<br />

the square of the speed of light. More conundrums arose, however, when<br />

physicists looked closely at how to manage the differences in the other<br />

measurable attributes. These problems resulted in several fundamental<br />

principles and two major paradoxes that still create confusion nearly a<br />

century later.<br />

Two of the principles are those of complementarity and uncertainty. The<br />

complementarity principle states that particle and wave characteristics<br />

are not mutually exclusive, but complementary to each other, in that both<br />

are required to measure basic nature. Complementarity specifies which<br />

attributes of matter may be measured together, and which may not. It<br />

would be like describing apples and pitchforks with the same limited set of<br />

adjectives.<br />

Let’s assume, for example, that apples are primarily measured by their<br />

nutritional content, and pitchforks by the amount of hay they can lift. We<br />

know that apples and pitchforks both have measurable size and weight.<br />

Pitchforks have some of the elements that make up nutrition, but not many.<br />

An apple might lift a few straws of hay, but not many. Therefore, when we<br />

discuss apples, hay-lifting capacity is not fundamental, and when discussing<br />

pitchforks, nutrition is not fundamental. If, instead of particles and<br />

waves, scientists suddenly discovered that beneath the level of our visibility<br />

all nature seemed to be made up of tiny apples and pitchforks, we<br />

would have a problem. Our instruments are calibrated to measure weight,<br />

size, nutritional content, and hay-carrying capacity. The instruments do<br />

not measure apples or pitchforks directly, but only some of their measurable<br />

attributes.<br />

However, the picture we carry in our minds would most likely consist<br />

of tiny versions of the apples and pitchforks we observe in daily life. If, in<br />

an experiment, we detect a little nutritional value, is the instrument detecting<br />

the apple part of nature or a little residual pitchfork Or does it<br />

matter at all except in terms of our visual image of how we think things<br />

really are In this way nutritional content and hay-lifting capacity must be<br />

considered complementary attributes, so long as we are tied to the notion<br />

that apples and pitchforks are what we’re looking for.<br />

The apple and pitchfork example was not chosen haphazardly. Though<br />

particles and waves seem to be a more rational basis for describing the<br />

fundamentals of nature, all such descriptions from the macroscale world<br />

of everyday existence are just keys we have chosen in order to represent<br />

our map of reality. The underlying basis of our existence certainly isn’t<br />

little apples and pitchforks, but little particles and waves may not be the<br />

best description either.<br />

This idea of the complementary appearance of things finds its roots in<br />

the process of knowing, not in the process of what it is that exists. In order

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