On 5/1/2018 12:40 AM, [email protected] wrote:


On Tuesday, May 1, 2018 at 6:57:14 AM UTC, scerir wrote:

    *AG: 'I suppose people will appeal to entanglement and decoherence
    to try to make sense of how a measurement occurs. Nevertheless,  I
    tend strongly to the view that the theory is inherently
    irreversible; that is, TIME IRREVERSIBLE IN PRINCIPLE  If so, it
    implies the arrow of time has its origin at the quantum level.'*

    #### Maybe.

    But ... since we say that there is non-separability between
    (position/momentum or time/energy) entangled quantum states, can
    we also say there is quantum non-separability not just *in space*
    (i.e. correlation between space-like separated events) but also
    *in time* (there is no *causal* ordering)?

    Are there Bell's inequalities for correlations *in time*?  s.


Sure. Just make the measurements at time-like separate events.  It's not so interesting because then there could be a local (slower than light) hidden variable that would explain the result.

    https://arxiv.org/abs/1712.06884 <https://arxiv.org/abs/1712.06884>

    https://arxiv.org/abs/1708.00248 <https://arxiv.org/abs/1708.00248>


*If two events are space-like separated, I think it's correct to say there is no causal ordering. However, when analyzing time reversal for measurements -- whether or not it exists in QM -- aren't we dealing with time-like ordering in the laboratory wherein the "first" measurement occurred? AG*


Spacelike events have no time order.  Their order varies depending on your choice of coordinate system.

Brent

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