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Conditional probability, quantum time and friends

Abstract : Considering a minimal number of assumptions and in the context of the timeless formalism, we derive conditional probabilities for subsequent measurements in the non-relativistic regime. The probability expressions are found unambiguously, also in puzzling cases like the Wigner's friend scenario, and they underline the relativity aspect of measurements. No paradoxical situations emerge and the roles of Wigner and the friend are completely interchangeable. In particular, Wigner can be seen as a superimposed of states from his/her friend. When only one clock system is considered, we demonstrate in addition that two-times probabilities cannot be defined.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03179772
Contributor : Martino Trassinelli <>
Submitted on : Wednesday, March 24, 2021 - 2:35:08 PM
Last modification on : Friday, March 26, 2021 - 3:31:52 AM

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qt_20210316.pdf
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  • HAL Id : hal-03179772, version 1
  • ARXIV : 2103.08903

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Martino Trassinelli. Conditional probability, quantum time and friends. 2021. ⟨hal-03179772⟩

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