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In the double slit experiment, if a sufficiently sensitive instrument capable of detecting the gravity of the passing electron were used in place of a photon, would this cause wave function collapse?

I wonder about this because it could possibly obtain which-way information about the electron without directly interacting with it.

Mike
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    Regardless of whether this is practically possible, if the electron exerts a gravitational force on the detector, the detector also exerts a gravitational force on the electron, so there must be "direct interaction." – d_b Oct 15 '21 at 18:18
  • Closely related: Why aren't particles constantly "measured" by the whole universe? That question asks about the gravity effect, among other things. – Chiral Anomaly Oct 16 '21 at 00:27
  • +1 I have a hypothesis, whenever a wavefunction collapses to a particular state, like electron collapsing to a discrete position (~point particle), it should be associated with non-zero conformal curvature since in relativity, every localised source is associated with conformal curvature. So you can gravitationally verify that wavefunction has collapsed. I am not sure if it is possible the other way around – KP99 Oct 16 '21 at 04:39

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