On Tuesday, December 5, 2017 at 3:03:51 AM UTC, Russell Standish wrote:
>
> On Tue, Dec 05, 2017 at 12:18:02PM +1100, Bruce Kellett wrote: 
> > On 5/12/2017 11:53 am, Russell Standish wrote: 
> > > On Tue, Dec 05, 2017 at 11:26:53AM +1100, Bruce Kellett wrote: 
> > > > On 5/12/2017 3:15 am, Bruno Marchal wrote: 
> > > > > I think that is enough to get the macroscopic superposition, as, 
> like I 
> > > > > explained, you have to take into account not just the quantum 
> > > > > indeterminacy, + the classical chaos. You might need to shake for 
> some 
> > > > > minutes. 
> > > > You could shake for longer than the age of the universe and you will 
> still 
> > > > not convert quantum uncertainties and classical thermal motions into 
> a 
> > > > macroscopic superposition. Do you know nothing about coherence? And 
> the fact 
> > > > that coherent phases between the components are what separates a 
> > > > superposition from a mixture? Random quantum uncertainties and 
> thermal 
> > > > motions are not coherent, so cannot form superpositions. 
> > > > 
> > > To repeat - coherence and superposition are orthogonal concepts. A 
> > > fully decohered multiverse is still in a superposition. 
> > 
> > But that superposition is only of the whole multiverse, and we do not 
> have 
> > access to that. The concepts are not orthogonal, because any finite 
> physical 
> > system will not, in general, be in a superposition of any kind. The 
> > distinction between pure states -- coherent superpositions --  and mixed 
> > states is fairly fundamental if you want to make any progress in 
> fundamental 
> > physics. 
>
> Of course. My point is simply that a mixed state is still a 
> superposition, just not a coherent one.


*A system in a superposition is said to be in multiple states 
simultaneously, which is much different from a mixed state where the system 
is conceived as being in one of several states, but with different 
probabilities. This is standard terminology AFAIK. AG*
 

> It may just be a pernicketty 
> language thing, but I do see a lot of disagreements on this list just 
> because people are using language in different ways. 
>
> > 
> > > Re the length of time for quantum uncertainty to affect macroscopic 
> > > state, much less than the age of the universe is required. 
> > 
> > The Poincaré recurrence time for the general decohered state is 
> certainly of 
> > the order of the age of the universe. Quantum uncertainties can affect 
> the 
> > macroscopic state in some circumstances --  particular when there is a 
> clear 
> > route for amplification of the quantum effects, as in most quantum 
> > experiments. It has been suggested that the chaotic rotation of Saturn's 
> > moon Hyperion is related to quantum effects, but that is a particularly 
> > unstable system. 
> > 
>
> The Poincare recurrence time is usually much longer than the mixing 
> time of a chaotic system. I'm not sure what the relevance is to what 
> we're talking about. 
>
> > > Whilst the StosszahlAnsatz will be strictly speaking incorrect, as I 
> > > understand it it is very approximately true. This will entail that 
> quantum 
> > > randomness will affect classical randomness on about the same 
> > > timescale as the mean free time of molecules in a gas at room 
> > > temperature, or about 0.1 ns. 
> > 
> > I think this remains to be proved for the general case. 
> > 
> > > Unless you are ...

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