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This notion does not explain how the thermal bath appears. I.e. why the system interacts with a particular bath and not a superposition of such baths? At best
by _0w8t 4y ago
This notion does not explain how the thermal bath appears. I.e. why the system interacts with a particular bath and not a superposition of such baths?
At best the decoherence can try to explain how appearance of a sufficiently big classical object may trigger appearance of other objects, but it does not explain how the initial object appears.
- lmm 4y ago> This notion does not explain how the thermal bath appears. The point of the bath is it's a generic model of a large system with lots of states and interactions. > I.e. why the system interacts with a particular bath and not a superposition of such baths? The bath can be in a superposition state at the start, that's fine. (Indeed the whole model would be pretty useless otherwise).
- _0w8t 4y agoAgain, models of decoherence assume existence of an external bath resembling classical state. By interacting with it the system becomes classical itself if it is and the bath is sufficiently big. But it does not explain how that external bath appears. In universe-as-a-wave-function there is no external bath. The system as whole is always coherent and is described by a single wave function. Then the idea of the decoherence is that perhaps during evolution of this big wave function it is possible to find a subsystem that looks like it is approximately decoherent during some time interval. Then one claim that our visible universe is just such subsystem. The trouble is that so far nobody came up with a model where such temporary approximately classical subsystem appears. Perhaps we have not tried hard enough or this is a really difficult problem, but at this point I am rather skeptical that decoherence is the right approach at all.
- layer8 4y agoI don’t think it’s black & white, either coherent or decoherent, for subsystems. It’s rather a scale. In that sense there may not be discrete “worlds”, but rather a continuum of them, matching the degree to which particles are entangled or not entangled, and in superposition or not in superposition.
- lmm 4y ago> models of decoherence assume existence of an external bath resembling classical state They don't assume it's classical. They assume it's a system with lots of states and interactions, because if you want to have a model of "the external universe" then you have to have some kind of concept of what that looks like. > In universe-as-a-wave-function there is no external bath. The system as whole is always coherent and is described by a single wave function. Sure; the point is that if you split the universe into "these two entangled particles" and "the rest of the universe", because you want to understand how we observe that entanglement "decaying" as the particles interact with the rest of the universe, then you can model that as "these two entangled particles" interacting with "a thermal bath". > The trouble is that so far nobody came up with a model where such temporary approximately classical subsystem appears. This is nonsense? Wavefunctions generally have a lot of structure and decomposing them into smaller subsystems and functions happens all the time.
- _0w8t 4y agoWhat is necessary is to find in the big wave function a subsystem consisting of, say, a particle with a spin and something approximating a classical measurement device. Such 2-part subsystem should explain then how the classically-looking part gets the value it measures and the nature of probabilities. Despite attempts nobody was able to find such subsystem.
- lmm 4y agoFor a sufficiently simplified model of a measuring device you can do that. I mean there's no getting away from having to use the Born rule, and I'm not as sanguine as Aaronson about the idea that that's adequately justified, but it's not like there's a better alternative.
- _0w8t 4y agoSo far nobody was able to get such model unless I missed something. And the whole point of the decoherence exercise is to avoid Born rule as it implies a truly classical subsystem and we are back to where we started.