On Fri, Aug 9, 2019 at 7:49 PM Bruno Marchal <[email protected]> wrote:

> On 9 Aug 2019, at 04:07, Bruce Kellett <[email protected]> wrote:
>
> From: Bruno Marchal <[email protected]>
>
> On 8 Aug 2019, at 13:59, Bruce Kellett <[email protected]> wrote:
>
> On Thu, Aug 8, 2019 at 8:51 PM Bruno Marchal <[email protected]> wrote:
> If the superposition are not relevant, then I don’t have any minimal
> physical realist account of the two slit experience, or even the stability
> of the atoms.
>
> Don't be obtuse, Bruno. Of course there is a superposition of the paths in
> the two slit experiment. But these are not orthogonal basis vectors. That
> is why there is interference.
>
>
> But each path are orthogonal. See the video of Susskind, where he use 1
> and 0 to describe the boxes where we can find by which hole the particles
> has gone through. Then, without looking at which hole the particle has gone
> through, we can get the interference of the wave which is obliged to be
> taken as spread on both holes, and that represent the superposition of the
> two orthogonal state described here as 0 and 1.
>
> I seldom watch long videos of lectures. But if Susskind is saying that the
> paths taken by the particle through the two slits are orthogonal then he is
> flatly wrong. Writing the paths as 1 and 0 does not make them orthogonal.
> And if they were orthogonal they could not interact, and you would not get
> interference. Two states |0> and |1> are orthogonal if their overlap
> vanishes: <0|1> = 0. Interference comes from the overlap, so if this
> vanishes, there is no interference.
>
> Either Susskind is terminally confused, or you have misrepresented him.
>
> Or maybe you are wrong. Slit one is orthogonal to slit two, as much as
> spin in different direction.
>

When you observe which slit the particle went through, then yes -- the
slits are then orthogonal eigenstates of the position operator.

The interference comes from the fact that we get a superposition of going
> through slit one + going through slit two when we send a planar
> monochromatic wave on the wall with the two slits, and don’t measure which
> slit the particle go through.
>

Yes, then the states that we are measuring are not orthogonal. You do not
get interference between orthogonal states.


> That is how Susskind explains the two slit experiment in term of
> entanglement. You don’t need to look at the whole video, I gave the
> position of this sub-talk in the video.
>
> Any crisp measurement, like “which slit” gives rise to orthogonal state,
> which can interfere when superposed.
>

Which is essentially what I said -- orthogonal states do not interfere.

Bruce

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