« on: 25/09/2016 10:57:17 »
I just realized that even if there a are an infinite possible configurations it doesn't mean the information required to describe one of them is infinite.
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Quote from: NilakIn my opinion, the information within a limited volume of space is infinite. ...Can this be true in in Quantum Mechanics ?Mathematically speaking, you could measure the position and velocity of every fundamental particle to infinite precision, which would produce an infinite amount of data.
However, quantum theory tells us that:
- The position and velocity of subatomic particles is a bit "fuzzy", so you can't actually measure it to infinite precision
- If you did try to measure to great precision, the measurement process itself would disturb the trajectory of the particles you are measuring
- Measurement requires energy, and measurement to infinite precision would require infinite energy; expending infinite energy in a finite volume of space would represent a severe disturbance to this volume of space!
So there is an effective maximum amount of information that could (in principle) be extracted from a given volume of space.
From which follows that there should be a maximum amount of entropy in a given volume of space. Leading to the conclusions of Beckenstein and on to the holographic principle. This ties together entropy and information theory.
1My personal opinion is people that evolved in the identical circumstances will act almost the same. If there is any difference it will be because of quantum mechanics probabilities assuming they are real. This source of differencies is random. This means that people who do bad things are not fundamentally guilty, however punishment prevents future unwanted actions an also contributes to a selection of a desired behavior individuals.
If we didn't have free will, then no one would be guilty of a crime.
macroscopic version of the experiment is shown in quantum walker 3181.pdfIf I'm not wrong, that is not an experiment but a simulation of a quantum walker. Also the algebra it's too complicated to me to be honest. What I understand is that the walker position in never known but the probability of being in a certain position is given by the probability distribution. The probability wave goes through both slits and interfere with itself. But you never know which slit the walker gets through. I have no idea how to simulate the detection process. Simulation of the delayed choice quantum eraser would be epic.
It is generally thought that the photon only pass through one slit but we simply can't detect which one.
Now if a single photon really passes through both slits at the same time, what comes out of each slit must have about half the energy of the initial photon. So if we start with 2 eV (green) photons and put a high-pass (green) filter behind the slits, we won't get an interference pattern because all the half-energy (now infrared) photons will be absorbed by the filter. Has anyone tried this? I don't know of an actual published reference.