https://doi.org/10.1140/epjc/s10052-021-09290-7
Regular Article - Theoretical Physics
On the choice of the collapse operator in cosmological Continuous Spontaneous Localisation (CSL) theories
1
Laboratoire Astroparticule et Cosmologie, CNRS, Université de Paris, 75013, Paris, France
2
Institut d’Astrophysique de Paris, UMR 7095-CNRS, Université Pierre et Marie Curie, 98 bis boulevard Arago, 75014, Paris, France
Received:
9
March
2021
Accepted:
27
May
2021
Published online:
14
June
2021
The Continuous Spontaneous Localisation (CSL) theory in the cosmological context is subject to uncertainties related to the choice of the collapse operator. In this paper, we constrain its form based on generic arguments. We show that, if the collapse operator is even in the field variables, it is unable to induce the collapse of the wavefunction. Instead, if it is odd, we find that only linear operators are such that the outcomes are distributed according to Gaussian statistics, as required by measurements of the cosmic microwave background. We discuss implications of these results for previously proposed collapse operators. We conclude that the cosmological CSL collapse operator should be linear in the field variables.
© The Author(s) 2021
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