Transparent
materials such as glass and water have a strange ability to let light
through as if they were made of nothing. Yet some transparent
materials, such as glass, are very dense. They are full of atoms. How
can it be that the photons travelling through such materials do not
get scattered, or in other ways impaired in their path?
Light
leaving a transparent medium is just as focused and sharp as light
entering it. There is no loss of direction or energy. There is no
fanning out inside the medium.
The
only way this can be explained using the Velcro model of the photon
is that transparent media are so constructed that all paths through
them are well defined meanderings among atoms.
A
way to envision this is to think of photons as slalom skiers, and the
glass as a slope full of evenly spaced poles in all directions. The
rule of the race down the hill is that the skiers have to start with
a half roll past the first pole, then full rolls in altering
directions down the hill until a final half roll is made on exiting
the slope.
The
skiers may make a first half roll to the left or the right. It does
not matter. However, the next roll has to be in the other direction,
and the next roll after that has to be opposite to the previous, and
so on all the way down.
For
skiers coming into the slope at an angle, the first half roll will
either be larger or smaller then average, depending on the angle of
entry and which side of the first pole they enter. However, this is
perfectly balanced on exit with a corresponding deviation from the
average.
This
will result in all skiers leaving the slope in the exact same
direction that they entered it, provided the first row of poles are
parallel to the last row of poles.
Since
our skiers are photons, they travel at the exact same speed
regardless of their size. They always travel at the speed of light.
However, the length of the path travelled by a small photon and a big
photon will not be identical.
Small
photons roll past the poles with their geometrical centre closer to
the poles than the bigger photons, so even when large photons and
small photons take the exact same path through a transparent medium,
the small ones end up travelling a shorter distance.
Send
a red photon and a blue photon through a piece of glass at the exact
same time, and the red one ends up exiting the glass ahead of the
blue one. The red one has less energy than the blue one. It is
smaller, and is therefore rolling past the atoms in the glass at a
shorter distance from the atoms' centre than the blue one.
Red
and blue photons racing through a piece of glass.
This
explains why blue light takes more time to travel through transparent
media than red light, even when their paths through it is exactly the
same.
It
also explains why blue light refracts more through a prism than red
light. It explains why a mix of various size photons, known to us as
white light, get split into all the colours of the rainbow, with blue
light always at the most acute angle from the prism, and red light at
the least acute angle.
Photons
hitting a wall after travelling through a prism.
Being
larger than red photons, blue photons take more time rolling past the
first atom. This makes the initial half roll more acute for blue
photons than red photons. It also makes the full rolls and the final
half roll more acute.
The
initial and final half roll of photons are precisely defined by the
photons' size compared to the atoms in the medium. The bigger the
photons, the more acute are their half rolls into and out of the
prism.
Note
that the photons do not divert from each other in their overall
change in direction on entering a medium. Photons of different
colours race through the medium in parallel.
It
is not until the final half roll that diffraction happens. If the
final half roll is back into the original direction, as is the case
with plain glass sheets, the difference in original half roll
entering the glass is cancelled out by the difference in half roll on
exiting the glass.
However,
if the final half roll is to the same side as the original half roll
on entering the glass, as is the case in a prism, the original angle
does not cancel out. It gets added to, and there is diffraction.
Diffraction
happens as photons exit the media, and only when half rolls do not
cancel on exit.
This
is why there is no refraction in even the thickest glass sheets,
while the smallest of prisms diffract light just as well as a big
one.
Note
also that this has nothing to do with wavelength.
For
those familiar with Snell's law, this might seem puzzling. After all,
Snell's law can be used to correctly calculate refraction and the
apparent slowing down of light in transparent media, yet there is no
mention of size in Snell's law. It relates wavelengths, speeds and
densities to each other. That's it. Sizes are not included.
The
fact that Snell's law applies perfectly to light, is therefore
commonly used as "proof" that light must be waves, or
possess wave-like properties.
However,
Snell's law is no proof of anything regarding the nature of light,
because Snell's law is not limited to wavelengths, speeds and
densities. It works perfectly well for sizes as well. We have just
demonstrated this in the above discussion.
It
is the failure to recognize that relative sizes should be included in
the list of relations applicable to Snell's law that has introduced
wavelength rather than size into formulas for optics, quantum physics
and beyond.
Snell's
law is a perfectly valid formula. However, it should be extended to
include size when dealing with particles. Furthermore, all formulas
for photons in which wavelength or frequency appears should be
replaced with formulas using the more correct measure of size.
Of
course, no such wholesale replacement of physics formulas are likely
to occur any time soon, so that leaves it up to those preferring the
Velcro model to make a mental replacement themselves. Keep in mind
when doing this that big wavelengths correspond to small particles,
and visa versa.
Radio-wave
photons are very small. Gamma ray photons are very big.
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