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Redefining Reality - The Intellectual Implications of Modern Science

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With quantum mechanics, according to Schrödinger’s<br />

formulation, the state variable is represented by the Greek letter<br />

psi (), the wave function. But what is the wave function?<br />

What does it represent?<br />

It can be expressed in terms <strong>of</strong> any given observable, but then,<br />

according to the theory, it is a combination <strong>of</strong> every possible<br />

state the system could be in; the term used by physicists is<br />

a . If we express in terms <strong>of</strong> position,<br />

then according to Schrödinger’s equation, the object will<br />

simultaneously be in every place it could be. Of course, things<br />

are not spread out through space; everything we see is in a place.<br />

And here is the real strangeness in quantum mechanics: When<br />

we do not observe a system, it obeys Schrödinger’s equation<br />

and is in its superposed state. <strong>The</strong> moment we observe it, it<br />

collapses into one <strong>of</strong> its states, where we can see it, but we<br />

cannot tell which value it will take.<br />

<br />

<br />

This superposition plays into the question <strong>of</strong> whether light is a<br />

particle or a wave. <strong>The</strong> answer depends on how you observe.<br />

If we turn down a light<br />

source until we have just<br />

one packet <strong>of</strong> light—a<br />

photon—coming out at a<br />

time, we can shoot it at a<br />

wall with two slits cut in<br />

it. If light is a wave, then<br />

it should go through both<br />

slits at the same time. As<br />

a result <strong>of</strong> the adding and<br />

subtracting behavior <strong>of</strong><br />

waves, the light would<br />

show up on a screen <br />

<br />

behind the slits as a<br />

<br />

series <strong>of</strong> alternating light <br />

and dark bands. If light <br />

© ktsimage/iStock/Thinkstock.<br />

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