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A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties

Gambini, Rodolfo and Garcia-Pintos, Luis Pedro and Pullin, Jorge (2018) A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties. [Preprint]

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Abstract

Within ordinary ---unitary--- quantum mechanics there exist global protocols that allow to verify that no definite event ---an outcome to which a probability can be associated--- occurs. Instead, states that start in a coherent superposition over possible outcomes always remain as a superposition. We show that, when taking into account fundamental errors in measuring length and time intervals, that have been put forward as a consequence of a conjunction of quantum mechanical and general relativity arguments, there are instances in which such global protocols no longer allow to distinguish whether the state is in a superposition or not. All predictions become identical as if one of the outcomes occurs, with probability determined by the state. We use this as a criteria to define events, as put forward in the Montevideo Interpretation of Quantum Mechanics. We analyze in detail the occurrence of events in the paradigmatic case of a particle in a superposition of two different locations. We argue that our approach provides a consistent (C) single-world (S) picture of the universe, thus allowing an economical way out of the limitations imposed by a recent theorem by Frauchiger and Renner showing that having a self-consistent single-world description of the universe is incompatible with quantum theory. In fact, the main observation of this paper may be stated as follows: If quantum mechanics is extended to include gravitational effects to a QG theory, then QG, S, and C are satisfied.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gambini, Rodolforgambini@fisica.edu.uy
Garcia-Pintos, Luis Pedrolpgarciapintos@gmail.com
Pullin, Jorgepullin@lsu.edu
Keywords: quantum foundations, quantum measurement problem, events in quantum theory, Montevideo Interpretation of Quantum Mechanics
Subjects: Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr Luis Pedro García-Pintos
Date Deposited: 20 Oct 2018 15:13
Last Modified: 20 Oct 2018 15:13
Item ID: 15167
Official URL: https://arxiv.org/abs/1810.05307
Subjects: Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Mechanics
Date: 12 October 2018
URI: http://philsci-archive.pitt.edu/id/eprint/15167

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