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5. Eyeglasses and the lens equations
Not only does QED allow you to beautify yourself accurately,
it allows you to fry ants on pavement and fix blurry eyesight.
The
idea that light travels along the path of least time explains why
lenses work. Light travels slower in substances such as glass than in
air or a vacuum. By inserting thick glass along straight-line paths from
A to B and barely any glass along outside paths, you can make all these
paths from A to B take exactly the same time. Their probability amplitudes
will be pointing in the same direction, creating a large resultant amplitude,
meaning that light from all paths is very likely to "focus"
at B.
Differently
shaped lenses (the above example is not a normal thin converging
lens) could correct eyesight or focus light on parallel paths to burn
ants and chickens.
Based on this concept, it's possible to replicate the
experimentally-created "laws" of refraction such as Snell's
Law: .
While the Thin Lens Equation:
assumes that lenses act like the one at left (so it can be proved
without QED), quantum electrodynamics explains the basic physics behind
the assumption.
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