Undergrad Spot Electron: Unveiling the Wave-Function Collapse

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The discussion centers on the behavior of an electron in a double slit experiment, emphasizing that while the electron has a definite position at every moment, our conscious awareness of it does not provide that knowledge. It posits that the Universe inherently knows the electron's position due to its contribution to the gravitational field. The conversation raises the question of whether the 'collapse of the wave-function' represents a shift from intrinsic to conscious knowledge, but this idea is dismissed as speculation. The lack of a comprehensive theory of quantum gravity complicates the understanding of how gravity interacts with quantum mechanics. Ultimately, the discussion highlights the complexities of quantum behavior and the limitations of human perception in grasping these concepts.
AuntyMatter
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You have probably heard this a thousand times before, but here goes...

We have an electron gun pointing at a double slit setup.
We switch it on and emit a single electron.
The electron approaches the double slit.
At each instant that electron has a definite position.
We do not consciously know where the electron is, so we do not know which slit it will pass through.
The Universe knows where the electron is because the electron contributes to the gravitational field.
We are part of the Universe, so we intrinsically know where it is at any instant.
Is the 'collapse of the wave-function' the transition from intrinsic to conscious knowledge ?
 
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AuntyMatter said:
At each instant that electron has a definite position.

No, it doesn't.

AuntyMatter said:
The Universe knows where the electron is because the electron contributes to the gravitational field.

We don't have a theory of quantum gravity, so we don't know how gravity works together with quantum mechanics. But it is perfectly possible that the gravitational field can be in a quantum superposition just like the electron, so there is no definite value of the gravitational field just as there is no definite value for the position of the electron.

AuntyMatter said:
We are part of the Universe, so we intrinsically know where it is at any instant.
Is the 'collapse of the wave-function' the transition from intrinsic to conscious knowledge ?

This is personal speculation and is out of bounds here.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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