We have the simple arrangement of the double slit, but with the addition of a precise clock. The screen is also substituted by a CCD camera, so one can check when there is an event (hitting of the photon on a camera pixel).
Now we concentrate on the first minimum (say left side). If we don’t watch the clock we must get the normal interference pattern. (e.g. no events in this segment of the camera). But if we watch the clock we should know where the particles come from (left or right slit) because the distance from the left slit is slightly closer to this minimum. So we get which way information and the interference pattern is destroyed – so we must get events (and even many such) in this segment.
There are some paradoxes appearing. Without any efforts I can figure out at least 3. Surely there are many more.
How watching the clock on a distant spot is changing the physics on the slit panel (there seems to be no connection between them)?
If we use a less precise clock we would get interference. How can it be that the precision of the instruments can influence the events?
We could place a CCD camera above the first and not use clock with it. So on the first CCD there is 0 events and on the second CCD some events. The physics (on the slits) must be the same but it is not?
In order not to water up the discussion I would be thankful if your comments are concerned on the first item. Also please try to analyze this from the view of the orthodox interpretation of QM (Copenhagen or some variant).