3. Repeat infinitely step 2 for every straight line
The result is a simulated coastline.
Why infinitely? Surely the recursion must stop before the characteristic length reaches the atomic scale.
3. Repeat infinitely step 2 for every straight line
The result is a simulated coastline.
I forget how the math works, but I know that if you coat a microscope slide with tar, and put two razor blades together to make a double slit in the tar, they are the right distance apart to diffract light.
What's hitting the detector, a photon?
the same photon that was emitted?
how far did it travel to get there or how long did it take as the distances for each path are different?
Thanks ctamblyn. Here is the link...(snip)
And welcome. I owe you one.
<snip>
The photon is not a point particle. As such, it is neither emitted nor detected at an instant of time, but over a period of time. This makes any path length difference irrelevant: the difference will be less than the "length" of the photon. If that is not the case, you won't get interference.
This is not quite right. The photon goes through both slits (how good is that a single photon goes though two different paths. It can do this because it is a wave not a particle). It then travels to the photon detector.
Indeed, any measurement that could reveal which path the particle took will wash away the interference. This is most definitely one of my favourite experiments in physics.
Can it be measured with electrons?
Yes. The basic effect (wave interference) behind the 2-slit experiment is also the principle behind diffraction, which can be done with x-rays, neutrons, electrons, and even helium atoms.
None of that contradicts anything I said. But if the photon you send at both slits is a VERY short pulse, short enough that the two parts do not overlap in space and time at the detector due to path length differences, then it will not interfere with itself. The photon must be longer than any path length difference in order for any interference to occur. And if it's longer than the path length difference, then you cannot use arrival time to determine which path it took.
The most baffling part of this experiment comes when only one photon at a time is fired at the barrier with both slits open. The pattern of interference remains the same, as can be seen if many photons are emitted one at a time and recorded on the same sheet of photographic film. The clear implication is that something with a wavelike nature passes simultaneously through both slits and interferes with itself — even though there is only one photon present. (The experiment works with electrons, atoms, and even some molecules too.)
Bolding on both quotes is mine. I cannot see how the two bolded statements can both be right.
To understand Quantum theory one thing you must reject is common sense.
The two situations are not the same. In the Wikipedia case the photon has a well-defined wavelength. In the other case the photon has a sharply-defined position (when created) which implies a spread of wavelengths, due to Heisenberg, causing the interference pattern to become smeared. Have a look for Heisenberg's uncertainty principle on wiki - I'd post a link but I'm not allowed yet :-(
Ugh, it's 2.30 in the morning. Time to get some rest. My apologies if this post is utter rubbish.
In quantum mechanics, the Heisenberg uncertainty principle states that certain pairs of physical properties, like position and momentum, cannot both be known to arbitrary precision.