Waveform collapse due to entaglement cascade

In summary: Weighting down? In my limited understanding of the quantum measurement problem, I am imagining the whole thing as corresponding to a kind of "weighting down" by a cascade of entaglement.Here is my very simple understanding of the quantum measurement problem: A waveform (Schrödinger equation) describes the various amplitudes for e.g. a superimposed electron at various positions, this when measured, collapses into a certain position, that can be predicted probabilistic as the square of the amplitude, or something like this.*The measurement device is something that can amplify the signal enough to be readable (importantly it is very large in comparison to the electron).Here is how I think of it
  • #1
Heissenberg
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TL;DR Summary
Can the waveform collapse be a result of an entanglement cascade?
In my limited understanding of the quantum measurement problem, I am imagining the whole thing as corresponding to a kind of "weighting down" by a cascade of entaglement.

Here is my very simple understanding of the quantum measurement problem: A waveform (Schrödinger equation) describes the various amplitudes for e.g. a superimposed electron at various positions, this when measured, collapses into a certain position, that can be predicted probabilistic as the square of the amplitude, or something like this.

*The measurement device is something that can amplify the signal enough to be readable (importantly it is very large in comparison to the electron).

Here is how I think of it: The unentangled electron (for example sent through a slit), gets entangled with whatever is doing the measuring of its position, and in a kind of cascade, the electron gets entangled with all quantum states of the whole and relatively large measurement apparatus. Then this entanglement “weight down" the fluctuation of the superimposed probability amplitude of the electron waveform, and thus it apparently collapses to a certain position. This happens with a probability proportional to the amplitudes at different superimposed positions (naturally as it is more likely to be there at the moment of the measurement). If/when the measurement system is large enough, the “weighting down" effect gets large enough so that the electron is apparently at a fixed position rather than superimposed at many. This is what is described as the collapse.

I am aware of the very unscientific notion "weighting down" here. I see it as something like an analog to a lever vibrating at a resonance frequency, but when more and more weight is put to the lever, the amplitude of the oscillations goes down, until it would more or less seem to be sitting still. Here the load would be constituted by the increasing number of quantum states entagled to the measured electron. But of course it would be totally different mechanisms and phenomenons in the situation with super-positional flux and entanglement.

I am also aware that this view of superposition, imply some kind of time-related vibration/movements, which might be a totally wrong way of being it, but it could then (in my mind at least) for example be at such tiny time-scales, that for all practical reasons, it is actually superimposed at all positions simultaneous.

Now, as a novice in this field, I am sure that this explanation, either is completely up the walls, doesn't make any sense and misses some of the crucial point of the problem, or in best cases it might be a very crude and inexact but slightly overlapping description of some already existing theory. In any case, and the reason I am posting this at all, is that I would be interested to get educated about why this view of the problem is wrong or inaccurate, or if it is to some degree compatible with some existing interpretation and if so, how this interpretation goes.

Best Regards
 
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  • #2
Heissenberg said:
In any case, and the reason I am posting this at all, is that I would be interested to get educated about why this view of the problem is wrong or inaccurate, or if it is to some degree compatible with some existing interpretation and if so, how this interpretation goes...
:welcome:

A few comments... :smile:

Before you attempt your own explanation, it might be best to make sure you understand some of the fundamentals. Yes, when a quantum measurement occurs, there will be a "narrowing". That's your "weighting down" or "collapse" of the wave function to yield a relatively precise value of a quantum observable. (Note that "collapse" is a lay term and is not a part of all quantum interpretations.)

And yes, there is a sense in which a measurement entangles a quantum system with the macroscopic measuring device.

But unfortunately, none of that actually "explains" anything. If I measure entangled particle A, how does that explain how or why its distant partner B takes on a specific value? And if I measure the position of particle A, how does that explain that A's position becomes completely uncertain? Your explanation doesn't really give us anything specific.

Keep in mind: the Heisenberg Uncertainty Relations are mathematical formulae that give very specific descriptions of quantum observables. The English interpretation is derived from the mathematical, not the other way around.

Cheers.
 
  • #3
Thank you! What I am trying to grasp, I guess, is where exactly the main source of all "mystery" or unexplainable behaviour connected to the "narrowing" by the measurement is. If a measured electron gets entangled with the measurement device upon measurement (even if we can't explain really what entaglement is or how it works etc), and upon that event "narrows" or get a more precis location, why would there for example be a need to include the need of a "conscious observation" or a many-worlds interpretation, as I have understood are some popular interpretations. Or is the mystery of the measurement problem in itself really the mystery of entaglement?

I get your point that its all translations of the mathematics into English, but how would you try to explain the main mystery in english? Why is the waveform collapse a mystery? Or is it?
 
  • #4
I suggest a couple of books to start with:
- "Sneaking a Look at God's Cards"
- "Quantum Physics: What Everybody Needs To Know"
 
  • #5
Moderator's note: Thread moved to the QM interpretations forum based on subject matter.
 
  • #6
StevieTNZ said:
I suggest a couple of books to start with:
- "Sneaking a Look at God's Cards"
- "Quantum Physics: What Everybody Needs To Know"
Ok, thanks for these tips, will check then out!
 

FAQ: Waveform collapse due to entaglement cascade

What is waveform collapse due to entanglement cascade?

Waveform collapse due to entanglement cascade is a phenomenon in quantum mechanics where the state of a particle becomes entangled with another particle, causing a collapse of the original waveform and a transfer of information between the two particles.

How does entanglement cascade occur?

Entanglement cascade occurs when two particles interact and become entangled, meaning that their properties become correlated and cannot be described independently. This leads to a collapse of the original waveform and a transfer of information between the two particles.

What are the implications of waveform collapse due to entanglement cascade?

The implications of waveform collapse due to entanglement cascade are significant in the field of quantum mechanics. It challenges our understanding of the physical world and has potential applications in quantum computing and communication.

Can entanglement cascade be controlled or manipulated?

While entanglement cascade cannot be controlled or manipulated directly, scientists have been able to manipulate the state of one particle in an entangled pair, which in turn affects the state of the other particle. This allows for the potential of controlling the transfer of information between entangled particles.

How does entanglement cascade relate to the concept of superposition?

Entanglement cascade is closely related to the concept of superposition, as both involve the collapse of a waveform. However, while superposition refers to the state of a single particle being in multiple states simultaneously, entanglement cascade involves the state of two particles becoming correlated and collapsing into a single state.

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