Siddhant Das & Detlef Dürr - Arrival Time Distributions of Spin-1/2 Particles

Published in Nature in 2019:  Arrival Time Distributions of Spin-1/2 Particles:

In non-relativistic quantum mechanics, the probability of finding a particle in a small spatial volume d³r around position r at a fixed time t is given by Born’s rule |Ψ(r, t)|²d³r, where Ψ(r, t) is the wave function of the particle. This formula is experimentally well established. However, a formula for the probability of finding the particle at a fixed point r between times t and t + dt is the matter of an ongoing debate.

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See also On the spin dependence of detection times and the nonmeasurability of arrival times by Sheldon Goldstein, Roderich Tumulka & Nino Zanghì:

The probability distributions they found depend upon the spin of the particle and for some choices of the spin the distribution exhibits intriguing characteristics. They assumed that the arrival times could be measured using appropriate detectors. In fact, it was partly on the basis of the nature of the spin dependence that they argued for this assumption.

However, on the basis of the spin dependence, we prove here that their assumption regarding the measurability of arrival times is false: there can exist no such detectors.

Crazy shit! See Assumptions of Physics - Reading the Book.

It gets even more complicated. See Arrival time in quantum mechanics (demonstrated in geometrical order) by Jerzy Kijowski.

 

The paper by Rovelli et al is Time-of-arrival in quantum mechanics by Norbert Grot, Carlo Rovelli and Ranjeet S. Tate.

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Sean Carroll on the history of Quantum Mechanics: Einstein’s most radical thought

In the description it says “Consciousness is fundamental. It's a fundamental property of the world that we inhabit, a fundamental property of the universe.” This wasn't mentioned and this title changed since I first saw it a few days ago. Here's the full thing. The part where he talks about the measurement problem might explain.

See Assumptions of Physics - Reading the Book.

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