I think a lot of proponents of objective collapse would pick a bone with that, haha, although it’s really just semantics. They are proposing extra dynamics that we don’t understand and can’t yet measure.
Any actual physicist would agree objective collapse has to modify the dynamics, because it’s unavoidable when you introduce an objective collapse model and actually look at the mathematics. No one in the physics community would debate GRW or the Diósi–Penrose model technically makes different predictions, however, and in fact the people who have proposed these models often view this as a positive thing since it makes it testable rather than just philosophy.
How the two theories would deviate would depend upon your specific objective collapse model, because they place thresholds in different locations. For GRW, it is based on a stochastic process that increases with probability over time, rather than a sharp threshold, but you still should see statistical deviations between its predictions and quantum mechanics if you can maintain a coherent quantum state for a large amount of time. The DP model has something to do with gravity, which I do not know enough to understand it, but I think the rough idea is if you have sufficient mass/energy in a particular locality it will cause a “collapse,” and so if you can conduct an experiment where that threshold of mass/energy is met, traditional quantum theory would predict the system could still be coherent whereas the DP model would reject that, and so you’d inherently end up with deviations in the predictions.
What’s the definition of interact here?
An interaction is a local event where two systems become correlated with one another as a result of the event.
“The physical process during which O measures the quantity q of the system S implies a physical interaction between O and S. In the process of this interaction, the state of O changes…A quantum description of the state of a system S exists only if some system O (considered as an observer) is actually ‘describing’ S, or, more precisely, has interacted with S…It is possible to compare different views, but the process of comparison is always a physical interaction, and all physical interactions are quantum mechanical in nature.”
The term “observer” is used very broadly in RQM and can apply to even a single particle. It is whatever physical system you are choosing as the basis of a coordinate system to describe other systems in relation to.
Does it have an arbitrary cutoff like in objective collapse?
It has a cutoff but not an arbitrary cutoff. The cutoff is in relation to whatever system participates in an interaction. If you have a system in a superposition of states, and you interact with it, then from your perspective, it is cutoff, because the system now has definite, real values in relation to you. But it does not necessarily have definite, real values in relation to some other isolated system that didn’t interact at all.
You can make a non-separable state as big as you want.
Only in relation to things not participating in the interaction. The moment something enters into participation, the states become separable. Two entangled particles are nonseparable up until you interact with them. Although, even for the two entangled particles, from their “perspectives” on each other, they are separable. It is only nonseparable from the perspective of yourself who has not interacted with them yet. If you interact with them, an additional observer who has not interacted with you or the three particles yet may still describe all three of you in a nonseparble entangled state, up until they interact with it themselves.
This is also the first I’ve heard anything about time-symmetric interpretations. That sounds pretty fascinating. Does it not have experimenter “free will”, or do they sidestep the no-go theorems some other way?
It violates the “free will” assumption because there is no physical possibility of setting up an experiment where the measurement settings cannot potentially influence the system if you take both the time-forwards and time-reverse evolution seriously. We tend to think because we place the measurement device after the initial preparation and that causality only flows in a single time direction, then it’s possible for the initial preparation to affect the measurement device but impossible for the measurement device to affect the initial preparation. But this reasoning doesn’t hold if you drop the postulate of the arrow of time, because in the time-reverse, the measurement interaction is the first interaction in the causal chain and the initial preparation is the second.
Indeed, every single Bell test, if you look at its time-reverse, is unambiguously local and easy to explain classically, because all the final measurements are brought to a single locality, so in the time-reverse, all the information needed to explain the experiment begins in a single locality and evolves towards the initial preparation. Bell tests only appear nonlocal in the time-forwards evolution, and if you discount the time-reverse as having any sort of physical reality, it then forces you to conclude it must either be nonlocal or a real state for the particles independent of observation cannot exist. But if you drop the postulate of the arrow of time, this conclusion no longer follows, although you do end up with genuine retrocausality (as opposed to superdeterminism which only gives you pseudo-retrocausality), so it’s not like it gives you a classical system.
So saying we stick with objective collapse or multiple worlds, what I mean is, could you define a non-Lipschitz continuous potential well (for example) that leads to multiple solutions to a wave equation given the same boundary?
I don’t know, but that is a very interesting question. If you figure it out, I would be interested in the answer.
This is sadly pseudoscience, that only gets talked about because one smart guy endorsed it, but hardly anyone in academia actually takes it seriously. What you are talking about is called Orch OR, but Orch OR is filled with problems.
One issue is that Orch OR makes a lot of claims that are not obviously connected to one another. The reason this is is an issue is because, while they call the theory “falsifiable” because it makes testable predictions, even if the predictions are tested and it is found to make the correct prediction, that wouldn’t actually even validate the theory because there is no way to actually logically or mathematically connect that experimental validation to all of its postulates.
Orch OR has some rather bizarre premises: (1) Humans can consciously choose to believe things that cannot be mathematically proven, therefore, human consciousness must not be computable, (2) you cannot compute the outcome of a quantum experiment ahead of time, therefore there must be an physical collapse that is fundamentally not computable, (3) since both are not computable, they must be the same thing: physical collapse = consciousness, (4) therefore we should look for evidence that the brain is a quantum computer.
Argument #1 really makes no sense. Humans believing silly things doesn’t prove human decisions aren’t computable. Just look at AI. It is obviously computable and hallucinates nonsense all the time. This dubious argument means that #3 doesn’t follow; there is no good reason to think consciousness and “collapse” are related.
Argument #2 is problematic because physical collapse models are not compatible with special relativity or the statistical predictions of non-relativistic quantum mechanics, and so they cannot reproduce the predictions of quantum field theory in all cases, and so they aren’t particularly popular among physicists, and of course there is no evidence for them. Most physicists see the “collapse” as an epistemic, not a physical, event.
Orch OR also arbitrarily insists on using the Diósi–Penrose model specifically, even though there have been multiple models of physical collapse proposed, such as GRW. There is no obvious reason to use this model specifically, it isn’t connected to any of the premises in the theory. Luckily, argument #2 does present falsifiable claims, but because #2 is not logically connected to the rest of the arguments, even if we do prove that the Diósi–Penrose model is correct, it doesn’t follow that #1, #3, or #4 are correct. We would just know there are physical collapses, but nothing else in the theory would follow.
The only other argument that propose something falsifiable is #4, but again, #4 is not connected to #1, #3, or #4. Even if you desperately searched around frantically for any evidence that the brain is a quantum computer, and found some, that would just be your conclusion: the brain is a quantum computer. From that, #1, #2, and #3 do not then follow. It would just be an isolated fact in and of itself, an interesting discovery but wouldn’t validate the theory. I mean, we already have quantum computers, if you think collapse = consciousness, then you would have to already think quantum computers are conscious. A bizarre conclusion.
In fact, only #2 and #4 are falsifiable, but even if both #2 and #4 are validated, it doesn’t get you to #1 or #3, so the theory as a whole still would remain unvalidated. It is ultimately an unfalsifiable theory but with falsifiable subcomponents. The advocates insist we should focus on the subcomponents as proof it’s a scientific theory because “it’s falsifiable,” but the theory as a whole simply is not falsifiable.
Also, microtubules are structural. They don’t play any role in information processing in the brain, just in binding cells together, but it’s not just brain cells, microtubules are something found throughout your body in all kinds of cells. There is no reason to think at all they play any role in computations in the brain. The only reason you see interest in them from the Orch OR “crowd” (it’s like, what, 2 people who just so happen to be very loud?) is because they’re desperate for anything that vaguely looks like quantum effects in the brain, and so far microtubules are the only things that seem quantum effects may play some role, but this role is again structural. There is no reason to believe it plays any role in information processing or cognition.