On Wednesday, October 9, 2019 at 5:52:03 AM UTC-5, Alan Grayson wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
Brent
Who chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer? Since they had other choices, my claim stands. AG
The devil cat is in the experimental details ...
Path integral approach on Schrodinger's catZinkoo YunDepartment of Physics and Astronomy University of Victoria, Canada
"the two conditional paths in Schrodinger’s cat experiment do not interfere with each other. So there is no phase effect between them thus no quantum superposition between |dead> and |alive>"
But that's not absurd, because it is possible to have a radioactive atom that is isolated from all environment and other degrees of freedom and so it might exist in a superposition.
But if you amplify the micro superposition and throw in a cat, you get an absurdity. Maybe Schroedinger was also trying to show that the interpretation of micro superposition is not correct. AG
Schrodinger just chose ALIVE/DEAD to emphasize how absurd it was to attribute superpositions to macroscopic objects.
Brent
On 10/11/2019 11:35 AM, Alan Grayson wrote:
On Friday, October 11, 2019 at 12:27:19 PM UTC-6, Alan Grayson wrote:
On Friday, October 11, 2019 at 12:10:27 PM UTC-6, Brent wrote:
On 10/11/2019 12:18 AM, Alan Grayson wrote:
> I am saying that SINCE there is no unique representation, it's a
> fallacy to take, say one representation, and assert that the
> components in one representation, simultaneously represent the wf.
But that's an invalid inference. If there is no unique representation,
then there is more than one representation. Some of those consist of a
linear composition of components. You seem to infer that because there
is no unique representation then representations in terms of components
is wrong...but those two things are not only consistent, they are
logically equivalent; each one implies the other.
Brent
No; on the contrary, I think all the representations are valid. What's invalidis singling out one representation and asserting the system is simultaneouslyin ALL the components of THAT representation. AG
I wasn't clear in one or more of my previous comments, but the latter is what I meant.All representations are valid; basic linear algebra. But to ascribe ontological status toone particular set of components, when in general there exists an uncountable set, isa fallacy. I thought I illustrated that point with S's cat. AG
Contrast the SG experiments with silver atoms. In that case the different bases are equally real, but an atom can be in definite spin state, say UP, which is a superposition of LEFT and RIGHT. This can be confirmed by measuring in the LEFT/RIGHT basis. So did the LEFT/RIGHT components exist when the atom was in the UP state? That sounds like a metaphysical or semantic question about the meaning of "being in" a state.
I've argued this before, but it's worth stating again. It's a misintepretation of superposition to claim that a system described by it, is in all the component states simultaneously. As is easily seen in ordinary vector space, an arbitrary vector has an uncountable number of different representations. Thus, to claim it is in some specific set of component states simultaneously, makes no sense. Thus evaporates a key "mystery" of quantum theory, inclusive of S's cat and Everett's many worlds. AG
On Saturday, October 12, 2019 at 11:16:20 AM UTC-5, Alan Grayson wrote:
On Friday, October 11, 2019 at 11:41:53 AM UTC-6, Philip Thrift wrote:What I call a "ship" above can be done with a 2000-atom molecule in a double slit experiment (latest news).Now a 2000-atom molecule is not as big as ship, but it should provide what you need to know, If you think about it.@philipthriftI just posted the article about this. How does the existence of interference for a large molecule demonstrate that a particle can be in multiple positions simultaneously? AGWhat is your "quantum interpretation" of this:These hefty molecules (oligotetraphenyl porphyrins enriched with fluoroalkyl-sulfanyl chains) are sent through a 2-slit screen and land on a collection array forming a diffraction pattern (just as photons do). How does the presence of the 2 slits make the interference pattern? What is interfering with what?
On Saturday, October 12, 2019 at 11:39:04 AM UTC-6, Philip Thrift wrote:
On Saturday, October 12, 2019 at 11:16:20 AM UTC-5, Alan Grayson wrote:
On Friday, October 11, 2019 at 11:41:53 AM UTC-6, Philip Thrift wrote:What I call a "ship" above can be done with a 2000-atom molecule in a double slit experiment (latest news).Now a 2000-atom molecule is not as big as ship, but it should provide what you need to know, If you think about it.@philipthriftI just posted the article about this. How does the existence of interference for a large molecule demonstrate that a particle can be in multiple positions simultaneously? AGWhat is your "quantum interpretation" of this:These hefty molecules (oligotetraphenyl porphyrins enriched with fluoroalkyl-sulfanyl chains) are sent through a 2-slit screen and land on a collection array forming a diffraction pattern (just as photons do). How does the presence of the 2 slits make the interference pattern? What is interfering with what?I don't know. The size of the molecules is irrelevant. I am willing to leave it at that without grandeous interpretations. But since you think it means all components are simultaneously realized, even if the particles are measured one at the time, with large time delays, what's the logic to this conclusion? AG(Sabine Hosssenfelder says a particle - and she would have to say this molecule - is in two places at once. But she doesn't have a quantum interpretation. But what would Vic Stenger have said?
I don't see how Bohr saved the theory (of superposition?) by making that declaration. Isn't there general agreement today that everything is quantum? AG
There is now, but "Shut and calculate" produced huge advancements in understanding physics, chemistry, and biology and produced the solid-state electronics revolution - without metaphysics getting in the way.
Brent
Where have I introduced metaphysics? If a superposition means that all components are simultaneously realizied,
What is your "quantum interpretation" of this:
These hefty molecules (oligotetraphenyl porphyrins enriched with fluoroalkyl-sulfanyl chains) are sent through a 2-slit screen and land on a collection array forming a diffraction pattern (just as photons do). How does the presence of the 2 slits make the interference pattern? What is interfering with what?
I don't know. The size of the molecules is irrelevant. I am willing to leave it at that without grandeous interpretations. But since you think it means all components are simultaneously realized, even if the particles are measured one at the time, with large time delays, what's the logic to this conclusion? AG(Sabine Hosssenfelder says a particle - and she would have to say this molecule - is in two places at once. But she doesn't have a quantum interpretation. But what would Vic Stenger have said?
Stenger found the MWI abhorrent. Don't recall what alternative he suggested, if any. AG
On 10/12/2019 2:23 PM, Alan Grayson wrote:
I don't see how Bohr saved the theory (of superposition?) by making that declaration. Isn't there general agreement today that everything is quantum? AG
There is now, but "Shut and calculate" produced huge advancements in understanding physics, chemistry, and biology and produced the solid-state electronics revolution - without metaphysics getting in the way.
Brent
Where have I introduced metaphysics? If a superposition means that all components are simultaneously realizied,
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
On Saturday, October 12, 2019 at 4:49:36 PM UTC-6, Brent wrote:
On 10/12/2019 2:23 PM, Alan Grayson wrote:
I don't see how Bohr saved the theory (of superposition?) by making that declaration. Isn't there general agreement today that everything is quantum? AG
There is now, but "Shut and calculate" produced huge advancements in understanding physics, chemistry, and biology and produced the solid-state electronics revolution - without metaphysics getting in the way.
Brent
Where have I introduced metaphysics? If a superposition means that all components are simultaneously realizied,
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
On 10/12/2019 3:57 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 4:49:36 PM UTC-6, Brent wrote:
On 10/12/2019 2:23 PM, Alan Grayson wrote:
I don't see how Bohr saved the theory (of superposition?) by making that declaration. Isn't there general agreement today that everything is quantum? AG
There is now, but "Shut and calculate" produced huge advancements in understanding physics, chemistry, and biology and produced the solid-state electronics revolution - without metaphysics getting in the way.
Brent
Where have I introduced metaphysics? If a superposition means that all components are simultaneously realizied,
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
Also, I said I would get back to you about spin superpositions when I have time to research the issue. Other than those items, I honestly have no idea what you're complaining about. Try asking me again. AG
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On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
Brent
--Also, I said I would get back to you about spin superpositions when I have time to research the issue. Other than those items, I honestly have no idea what you're complaining about. Try asking me again. AG
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On Saturday, October 12, 2019 at 11:30:19 PM UTC-6, Brent wrote:
On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
BrentAs I previously suggested, since there is no operator that has those cat states as eigenstates, S's example was probably meant to falsify the then prevailing (and continuing) interpretation of superposition, as it leads to an absurdity. It's not just about the cat! But the case of spin could be an exception to my general claim that it's a fallacy to interpret a superposition to mean the system so described, is in all component states simultaneously. AG
On 9 Oct 2019, at 12:52, Alan Grayson <agrays...@gmail.com> wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
BrentWho chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer? Since they had other choices, my claim stands. AG
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On 10 Oct 2019, at 00:21, 'Brent Meeker' via Everything List <everyth...@googlegroups.com> wrote:
On 10/9/2019 3:52 AM, Alan Grayson wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
Brent
Who chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer?
Could the observer have chosen |alive>+|dead> and |alive>-|dead> as a basis?
Brent
Since they had other choices, my claim stands. AG
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On Saturday, October 12, 2019 at 11:48:33 PM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:30:19 PM UTC-6, Brent wrote:
On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
BrentAs I previously suggested, since there is no operator that has those cat states as eigenstates, S's example was probably meant to falsify the then prevailing (and continuing) interpretation of superposition, as it leads to an absurdity. It's not just about the cat! But the case of spin could be an exception to my general claim that it's a fallacy to interpret a superposition to mean the system so described, is in all component states simultaneously. AGS's cat scenario was not simply about the fate of a cat. After all, we already knew a cat can't be alive and dead simultaneously. It must have been to show the fallacy of the prevailing interpretation of superposition. AG
On 9 Oct 2019, at 12:52, Alan Grayson <agrays...@gmail.com> wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
BrentWho chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer? Since they had other choices, my claim stands. AGEverett showed explicitly that the relative states, and their relative statistics does not depend on the choice of the bases.Something quite similar occur already in arithmetic, with a much general notion of "base”.Bruno
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On 9 Oct 2019, at 12:52, Alan Grayson <agrays...@gmail.com> wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
Brent
Who chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer? Since they had other choices, my claim stands. AG
Everett showed explicitly that the relative states, and their relative statistics does not depend on the choice of the bases.Something quite similar occur already in arithmetic, with a much general notion of "base”.
On 10 Oct 2019, at 00:21, 'Brent Meeker' via Everything List <everyth...@googlegroups.com> wrote:
On 10/9/2019 3:52 AM, Alan Grayson wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
Brent
Who chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer?
Could the observer have chosen |alive>+|dead> and |alive>-|dead> as a basis?
In principle yes. And if you look at the cat, you are yourself described by [(seeing the cat alive )(cat alive) + (seeing the cat dead)(cat dead)]. Then I have still the choice by measuring you with a device measuring if you are seeing a cat alive, or dead, or off you are in the state
[(seeing the cat alive )(cat alive) + (seeing the cat dead)(cat dead)]
Or in the state
[(seeing the cat alive )(cat alive) - (seeing the cat dead)(cat dead)]
That does not change your own statistics.
Bruno
Brent
Since they had other choices, my claim stands. AG
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On Sunday, October 13, 2019 at 12:00:53 AM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:48:33 PM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:30:19 PM UTC-6, Brent wrote:
On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
Brent
As I previously suggested, since there is no operator that has those cat states as eigenstates, S's example was probably meant to falsify the then prevailing (and continuing) interpretation of superposition, as it leads to an absurdity. It's not just about the cat! But the case of spin could be an exception to my general claim that it's a fallacy to interpret a superposition to mean the system so described, is in all component states simultaneously. AG
S's cat scenario was not simply about the fate of a cat. After all, we already knew a cat can't be alive and dead simultaneously. It must have been to show the fallacy of the prevailing interpretation of superposition. AG
Incidentally, as I pointed out in a previous discussion of this issue, decoherence doesn't help. Even though it is extremely rapid, say 10^(-20) sec, there is still a finite duration when, according to the standard interpretation of superposition, the cat it is alive and dead simultaneously. LC might see this as nit-picking, but it isn't. We know a cat cannot be alive and dead simultaneously regardless of the time duration, however short.
--So this result, when apply decoherence, doesn't avoid the superposition fallacy illustrated by S's cat. It can be traced to the interpretation of the superposition of (|decayed> + |undecayed>) of the radioactive source. AG
--Also, I said I would get back to you about spin superpositions when I have time to research the issue. Other than those items, I honestly have no idea what you're complaining about. Try asking me again. AG
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On 10/13/2019 7:36 AM, Alan Grayson wrote:
On Sunday, October 13, 2019 at 12:00:53 AM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:48:33 PM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:30:19 PM UTC-6, Brent wrote:
On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
Brent
As I previously suggested, since there is no operator that has those cat states as eigenstates, S's example was probably meant to falsify the then prevailing (and continuing) interpretation of superposition, as it leads to an absurdity. It's not just about the cat! But the case of spin could be an exception to my general claim that it's a fallacy to interpret a superposition to mean the system so described, is in all component states simultaneously. AG
S's cat scenario was not simply about the fate of a cat. After all, we already knew a cat can't be alive and dead simultaneously. It must have been to show the fallacy of the prevailing interpretation of superposition. AG
Incidentally, as I pointed out in a previous discussion of this issue, decoherence doesn't help. Even though it is extremely rapid, say 10^(-20) sec, there is still a finite duration when, according to the standard interpretation of superposition, the cat it is alive and dead simultaneously. LC might see this as nit-picking, but it isn't. We know a cat cannot be alive and dead simultaneously regardless of the time duration, however short.
What are you talking about? Even when someone dies in a hospital, hooked up to all kinds of electronic recording instruments, the time of death can't be determined to the second, much less 1e-20sec.
Brent
--So this result, when apply decoherence, doesn't avoid the superposition fallacy illustrated by S's cat. It can be traced to the interpretation of the superposition of (|decayed> + |undecayed>) of the radioactive source. AG
--Also, I said I would get back to you about spin superpositions when I have time to research the issue. Other than those items, I honestly have no idea what you're complaining about. Try asking me again. AG
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The cause of the problem, orparadox if you will, is the superposition interpretation of the radioactivesource. AG
The idea of decoherence is that, it not carefully isolated, systems are continuously "monitored" by the environment and so act classically.
Here's a good analysis which casts the Schroedinger cat story into a double slit-experiment.
https://arxiv.org/pdf/1405.7612.pdf
The cause of the problem, orparadox if you will, is the superposition interpretation of the radioactivesource. AG
Yes, that's the problem. The radioactive nucleus is effectively isolated until it decays, after which it is not isolated...it has interacted with the detector. So in the MWI the system is splitting continuously into the branch were the atom hasn't decayed and the branch where is has just decayed and interacted with the environment. The atom is in a superposition of decayed and not decayed with amplitudes varying in time: psi = sqrt[exp(-at)]|not decayed> +sqrt[1-expt(-at)]|decayed> .
Brent
On 13 Oct 2019, at 16:36, Alan Grayson <agrays...@gmail.com> wrote:
On Sunday, October 13, 2019 at 12:00:53 AM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:48:33 PM UTC-6, Alan Grayson wrote:
On Saturday, October 12, 2019 at 11:30:19 PM UTC-6, Brent wrote:
On 10/12/2019 7:21 PM, Alan Grayson wrote:
On Saturday, October 12, 2019 at 8:07:46 PM UTC-6, Brent wrote:
On 10/12/2019 5:46 PM, Alan Grayson wrote:
What does "realized" mean? made real? Being real is a metaphysical concept. Bohr never said anything about components of a superposition being real. He famously said “Physics is not about how the world is, it is about what we can say about the world” and “Everything we call real is made of things that cannot be regarded as real.”
Brent
The latter comment is ridiculous. Aren't protons, neutrons and electrons real?
Ask Bohr. You never answer my questions; why should I answer yours.
Brent
What questions haven't I answered??? AG
Scan up until you see this symbol "?"
Brent
I explained what "realized" means by giving an example; S's cat, alive and dead simultaneously.
That's a representation in the theory. Every measurement that "realizes" its state finds it to be one or the other. So what's the operational significance of "being realized"? Schroedinger's whole point was that an alive and dead cat is never realized.
BrentAs I previously suggested, since there is no operator that has those cat states as eigenstates, S's example was probably meant to falsify the then prevailing (and continuing) interpretation of superposition, as it leads to an absurdity. It's not just about the cat! But the case of spin could be an exception to my general claim that it's a fallacy to interpret a superposition to mean the system so described, is in all component states simultaneously. AGS's cat scenario was not simply about the fate of a cat. After all, we already knew a cat can't be alive and dead simultaneously. It must have been to show the fallacy of the prevailing interpretation of superposition. AGIncidentally, as I pointed out in a previous discussion of this issue, decoherence doesn't help. Even though it is extremely rapid, say 10^(-20) sec, there is still a finite duration when, according to the standard interpretation of superposition, the cat it is alive and dead simultaneously.
LC might see this as nit-picking, but it isn't. We know a cat cannot be alive and dead simultaneously regardless of the time duration, however short.
So this result, when apply decoherence, doesn't avoid the superposition fallacy illustrated by S's cat. It can be traced to the interpretation of the superposition of (|decayed> + |undecayed>) of the radioactive source. AG
--Also, I said I would get back to you about spin superpositions when I have time to research the issue. Other than those items, I honestly have no idea what you're complaining about. Try asking me again. AG
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On 13 Oct 2019, at 16:43, Alan Grayson <agrays...@gmail.com> wrote:
On Sunday, October 13, 2019 at 7:48:29 AM UTC-6, Bruno Marchal wrote:On 9 Oct 2019, at 12:52, Alan Grayson <agrays...@gmail.com> wrote:
On Wednesday, October 9, 2019 at 12:28:38 AM UTC-6, Brent wrote:
On 10/8/2019 9:20 PM, Alan Grayson wrote:
> I've argued this before, but it's worth stating again. It's a
> misintepretation of superposition to claim that a system described by
> it, is in all the component states simultaneously. As is easily seen
> in ordinary vector space, an arbitrary vector has an uncountable
> number of different representations. Thus, to claim it is in some
> specific set of component states simultaneously, makes no sense. Thus
> evaporates a key "mystery" of quantum theory, inclusive of S's cat and
> Everett's many worlds. AG
No. It changes the problem to the question of why there are preferred
bases.
BrentWho chose Alive and Dead, or Awake and Sleeping for the S. cat? Wasn't it the observer? Since they had other choices, my claim stands. AGEverett showed explicitly that the relative states, and their relative statistics does not depend on the choice of the bases.Something quite similar occur already in arithmetic, with a much general notion of "base”.BrunoArithmetic does not include probability theory. AG
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Brent
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What are YOU talking about? I just made a GUESS about the decoherence time! Whatever it is, it doesn't change my conclusion. If there's a uncertainty in time, are you claiming the cat can be alive and dead during any duration? Is this what decoherence theory offers? AG
Brent
Brent
assuming the decay hasn't happened. If that's the case, I don't see how decoherence solves the paradox, unless we can assume an initial condition where the probability of one component of the superposition, that the cat is dead, is zero. Maybe this is the solution. What do you think? AG
Brent
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Brent
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If the box isolates the cat, decoherence of what is in the box will not occur.
Then when the bow is opened, it will take 10^(-20) sec before you are yourself into a superposition. With the SWE, once the cat is dead + alive, in box, or out of a box, that state of superposition will never disappear.assuming the decay hasn't happened. If that's the case, I don't see how decoherence solves the paradox, unless we can assume an initial condition where the probability of one component of the superposition, that the cat is dead, is zero. Maybe this is the solution. What do you think? AGDecoherence never destroys any superposition. It only makes harder (quasi-impossible, impossible in practice) to get the interference back. That’s how decoherence works well in the no-collapse formulation of QM.Bruno
Brent
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Sean says the decoherence time is 10^(-20) sec. So when the box is closed, the cat is in a superposition of alive and dead during that time interval, assuming the decay hasn't happened. If that's the case, I don't see how decoherence solves the paradox, unless we can assume an initial condition where the probability of one component of the superposition, that the cat is dead, is zero. Maybe this is the solution. What do you think? AG
Maybe this is an easier question; after decoherence, assuming the radioactive source hasn't decayed, what is the wf of the cat? Is the cat in a mixed state, alive or dead with some probabIlity for each? AG
Then when the bow is opened, it will take 10^(-20) sec before you are yourself into a superposition. With the SWE, once the cat is dead + alive, in box, or out of a box, that state of superposition will never disappear.assuming the decay hasn't happened. If that's the case, I don't see how decoherence solves the paradox, unless we can assume an initial condition where the probability of one component of the superposition, that the cat is dead, is zero. Maybe this is the solution. What do you think? AGDecoherence never destroys any superposition. It only makes harder (quasi-impossible, impossible in practice) to get the interference back. That’s how decoherence works well in the no-collapse formulation of QM.Bruno
Brent
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As you cannot track the behaviour of all molecules, you are unable to extract interference pattern from that superposition, and it will look like a mixed state. But without collapse of the wave, the cat, the molecules and yourself will remain in the superposition state and this forever, and whatever base is chosen to describe the wave describing you, the molecules and the cat.