pcalau12i@lemmygrad.ml
on 30 Apr 23:53
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There are no “paradoxes” of quantum mechanics. QM is a perfectly internally consistent theory. Most so-called “paradoxes” are just caused by people not understanding it.
QM is both probabilistic and, in its own and very unique way, relative. Probability on its own isn’t confusing, if the world was just fundamentally random you could still describe it in the language of classical probability theory and it wouldn’t be that difficult. If it was just relative, it can still be a bit of a mind-bender like special relativity with its own faux paradoxes (like the twin “paradox”) that people struggle with, but ultimately people digest it and move on.
But QM is probabilistic and relative, and for most people this becomes very confusing, because it means a particle can take on a physical value in one perspective while not having taken on a physical value in another (called the relativity of facts in the literature), and not only that, but because it’s fundamentally random, if you apply a transformation to try to mathematically place yourself in another perspective, you don’t get definite values but only probabilistic ones, albeit not in a superposition of states.
For example, the famous “Wigner’s friend paradox” claims there is a “paradox” because you can setup an experiment whereby Wigner’s friend would assign a particle a real physical value whereas Wigner would be unable to from his perspective and would have to assign an entangled superposition of states to both his friend and the particle taken together, which has no clear physical meaning.
However, what the supposed “paradox” misses is that it’s not paradoxical at all, it’s just relative. Wigner can apply a transformation in Hilbert space to compute the perspective of his friend, and what he would get out of that is a description of the particle that is probabilistic but not in a superposition of states. It’s still random because nature is fundamentally random so he cannot predict what his friend would see with absolute certainty, but he can predict it probabilistically, and since this probability is not a superposition of states, what’s called a maximally mixed state, this is basically a classical probability distribution.
But you only get those classical distributions after applying the transformation to the correct perspective where such a distribution is to be found, i.e. what the mathematics of the theory literally implies is that only under some perspectives (defined in terms of any physical system at all, kind of like a frame of reference, nothing to do with human observers) are the physical properties of the system actually realized, while under some other perspectives, the properties just aren’t physically there.
The Schrodinger’s cat “paradox” is another example of a faux paradox. People repeat it as if it is meant to explain how “weird” QM is, but when Schrodinger put it forward in his paper “The Present Situation in Quantum Mechanics,” he was using it to mock the idea of particles literally being in two states at once, by pointing out that if you believe this, then a chain reaction caused by that particle would force you to conclude cats can be in two states at once, which, to him, was obviously silly.
If the properties of particles only exist in some perspectives and aren’t absolute, then a particle can’t meaningfully have “individuality,” that is to say, you can’t define it in complete isolation. In his book “Science and Humanism,” Schrodinger talks about how, in classical theory, we like to imagine particles as having their own individual existence, moving around from interaction to interaction, carrying their properties with themselves at all times. But, as Schrodinger points out, you cannot actually empirically verify this.
If you believe particles have continued existence in between interactions, this is only possible if the existence of their properties are not relative so they can be meaningfully considered to continue to exist even when entirely isolated. Yet, if they are isolated, then by definition, they are not interacting with anything, including a measuring device, so you can never actually empirically verify they have a kind of autonomous individual existence.
Schrodinger pointed out that many of the paradoxes in QM carry over from this Newtonian way of thinking, that particles move through space with their own individual properties like billiard balls flying around. If this were to be the case, then it should be possible to assign a complete “history” to the particle, that is to say, what its individual properties are at all moments in time without any gaps, yet, as he points out in that book, any attempt to
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But you can’t duplicate a quantum state, how would he eat the same fish?
Very carefully
just don’t look at it
BUT, would he even realize that he was doing it⁉️
<img alt="img" src="https://preview.redd.it/the-lines-theyre-blurring-v0-1rj8fffkr7o81.png?width=640&crop=smart&auto=webp&s=aa0cee2fb47832151d88a5fe882949b06bf6699b">
There are no “paradoxes” of quantum mechanics. QM is a perfectly internally consistent theory. Most so-called “paradoxes” are just caused by people not understanding it.
QM is both probabilistic and, in its own and very unique way, relative. Probability on its own isn’t confusing, if the world was just fundamentally random you could still describe it in the language of classical probability theory and it wouldn’t be that difficult. If it was just relative, it can still be a bit of a mind-bender like special relativity with its own faux paradoxes (like the twin “paradox”) that people struggle with, but ultimately people digest it and move on.
But QM is probabilistic and relative, and for most people this becomes very confusing, because it means a particle can take on a physical value in one perspective while not having taken on a physical value in another (called the relativity of facts in the literature), and not only that, but because it’s fundamentally random, if you apply a transformation to try to mathematically place yourself in another perspective, you don’t get definite values but only probabilistic ones, albeit not in a superposition of states.
For example, the famous “Wigner’s friend paradox” claims there is a “paradox” because you can setup an experiment whereby Wigner’s friend would assign a particle a real physical value whereas Wigner would be unable to from his perspective and would have to assign an entangled superposition of states to both his friend and the particle taken together, which has no clear physical meaning.
However, what the supposed “paradox” misses is that it’s not paradoxical at all, it’s just relative. Wigner can apply a transformation in Hilbert space to compute the perspective of his friend, and what he would get out of that is a description of the particle that is probabilistic but not in a superposition of states. It’s still random because nature is fundamentally random so he cannot predict what his friend would see with absolute certainty, but he can predict it probabilistically, and since this probability is not a superposition of states, what’s called a maximally mixed state, this is basically a classical probability distribution.
But you only get those classical distributions after applying the transformation to the correct perspective where such a distribution is to be found, i.e. what the mathematics of the theory literally implies is that only under some perspectives (defined in terms of any physical system at all, kind of like a frame of reference, nothing to do with human observers) are the physical properties of the system actually realized, while under some other perspectives, the properties just aren’t physically there.
The Schrodinger’s cat “paradox” is another example of a faux paradox. People repeat it as if it is meant to explain how “weird” QM is, but when Schrodinger put it forward in his paper “The Present Situation in Quantum Mechanics,” he was using it to mock the idea of particles literally being in two states at once, by pointing out that if you believe this, then a chain reaction caused by that particle would force you to conclude cats can be in two states at once, which, to him, was obviously silly.
If the properties of particles only exist in some perspectives and aren’t absolute, then a particle can’t meaningfully have “individuality,” that is to say, you can’t define it in complete isolation. In his book “Science and Humanism,” Schrodinger talks about how, in classical theory, we like to imagine particles as having their own individual existence, moving around from interaction to interaction, carrying their properties with themselves at all times. But, as Schrodinger points out, you cannot actually empirically verify this.
If you believe particles have continued existence in between interactions, this is only possible if the existence of their properties are not relative so they can be meaningfully considered to continue to exist even when entirely isolated. Yet, if they are isolated, then by definition, they are not interacting with anything, including a measuring device, so you can never actually empirically verify they have a kind of autonomous individual existence.
Schrodinger pointed out that many of the paradoxes in QM carry over from this Newtonian way of thinking, that particles move through space with their own individual properties like billiard balls flying around. If this were to be the case, then it should be possible to assign a complete “history” to the particle, that is to say, what its individual properties are at all moments in time without any gaps, yet, as he points out in that book, any attempt to
This is why I do this.
Teach a man to fish and you’ll have one new fisherman. Teach a man to teach a man to fish, and you’ll start a new fishery education pyramid scheme.
THE SAME THE FISH
THE SAME. THE FISH?
Show this meme to a grammarian and they explode.
And then they start spinning in their graves, haunted by the tortured grammar.
Which, then, you can hook up a genset and get free energy, breaking physics.
All together now: there are no paradoxes in quantum mechanics