Views : 183,966
Genre: Science & Technology
Date of upload: Apr 30, 2023 ^^
Rating : 4.889 (166/5,821 LTDR)
RYD date created : 2024-05-16T10:43:15.548069Z
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Top Comments of this video!! :3
The interference pattern from a double slit is (essentially) the Fourier transform of the spatial pattern of the slits (integrating over a complex exponential in space), so it would make sense that it would be true in time as well. But I also am coming at this from an electrical engineering perspective where we love to apply the Fourier transform.
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Maybe the situation can be explained easier.
What is important - and when thinking about it, should wonder more people - is the question why light is actually bending at the two splits in the classical experiment. Because this makes the result clearer.
The reason why a laser beam can behave like a ray until it hits the split and afterwards like a wave, is the Heisenberg uncertainty principle.
The moment you define the location with high precision, the more you mess up the impulse. Thus, with the light passing a very tiny (certain) split, you create an impulse pretty random (uncertain).
That is why suddenly the light can change the direction and move to the "side" instead of continuing its former trajectory. It is then when it can interact with another wave (even with its own) and get "diverted" (simplified speaking).
With the temporal splits, it is the same. The shorter the impulse of the photon is, the more specific its location is defined. However, that gives a more random impulse.
This is already well documented for single impulses. A "pure" red light (or laser of a single wavelength) in super short impulses (e.g. photons of synchrotron emitters) is located at a certain location and thus changes colors - since a different (uncertain) impulse means an uncertain energy. Another energy in light means another color. So if your light pulse is just short enough, it may change from red to green or so.
This is not new, but might help understanding the next step.
Like with the two waves in the spatial experiment, the two waves in short temporal distance can interfere with each other. This interferance is the pattern we see.
Maybe that helps a bit.
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There's no surprise about broadening the spectrum on short pulses of light, it's similar result to when you do a fourier analysis on short pulse of sound - even if the sound itself is constant pitch at single frequency, the transition from "no sound" to "sound" and back introduces whole spectrum of sound frequencies that need to add up to form such a pulse. I'm somewhat curious how they arranged things for the two pulses to interfere, though. So It could be equally interesting to see the description of the instrument they used to detect the pulses and different frequencies of the result.
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This is a fascinating and well-done explanation, but my brain keeps yelling, "Aren't these just Fourier transforms stretching wave packets? And similarly, doesn't the frequency spread for the same reason that sharply banging a gong produces loads of frequencies?" Yes, there is time uncertainty, but doesn't that also stretch the wave packets in length, allowing a more mundane explanation? I loved the potential for that femtosecond cutoff; that's one of those nifty new-tech enables that could go in very unexpected directions. Very cool.
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The âphotonâ doesnât go through both slits (in space or time), the âphotonâ is the absorbed (detected) state. The wavefunction is what goes through both slits, either because it is dynamic while spacetime is fixed, or (more likely) because it is fixed while spacetime is actually dynamic.
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@donseesyourshaydim7529
1 year ago
If you get 200 more views today, 2/3 of it is me rewatching
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