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arXiv:2010.04067 · The European Physical Journal C

A response to criticisms on “CMB constraints cast a shadow on CSL model”

Jérôme Martin, Vincent Vennin

Published Jan 1, 2021• 6 citations
arXivHTMLPDF

Abstract

Abstract Our recent letter “Cosmic Microwave Background Constraints Cast a Shadow On Continuous Spontaneous Localization Models” (Martin and Vennin Phys Rev Lett 124:080402, 2020, arXiv:1906.04405 ) has recently been criticised in Ref. (Bengochea et al. Eur Phys J C 80:1021, 2020a) (see also Ref. Bengochea et al. 2020b, arXiv:2006.05313 ). In this reply, we explain why the arguments presented in those articles are either incorrect or a confirmation of the robustness of our results.

DOI
10.1140/epjc/s10052-020-08811-0

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Abstract Our recent letter “Cosmic Microwave Background Constraints Cast a Shadow On Continuous Spontaneous Localization Models” (Martin and Vennin Phys Rev Lett 124:080402, 2020, arXiv:1906.04405 ) has recently been criticised in Ref. (Bengochea et al. Eur Phys J C 80:1021, 2020a) (see also Ref. Bengochea et al. 2020b, arXiv:2006.05313 ). In this reply, we explain why the arguments presented in those articles are either incorrect or a confirmation of the robustness of our results.
In a recent paper [J. Martin and V. Vennin, Phys. Rev. Lett. 124, 080402 (2020)] it was argued that, for most natural choices, the direct application of the continuous spontaneous localization (CSL) theory to the inflationary case, as it is known to work in non-relativistic laboratory situations, is ruled out by cosmological observational data, thus casting a shadow on models based on CSL theory. We point out that such results are based on the consideration of a rather narrow set of choices for the application of the theory to the cosmological context and that the landscape of open and different possibilities is extremely vast.
Abstract In this work we consider a wide variety of alternatives opened when applying the continuous spontaneous localization (CSL) dynamical collapse theory to the inflationary era. The definitive resolution of many of the issues discussed here will have to await, not only for a general relativistic CSL theory, but for a fully workable theory of quantum gravity. Our concern here is to explore these issues, and to warn against premature conclusions. This exploration includes: two different approaches to deal with quantum field theory and gravitation, the identification of the collapse-generating operator and the general nature and values of the parameters of the CSL theory. All the choices connected with these issues have the potential to dramatically alter the conclusions one can draw. We also argue that the incompatibilities found in a recent paper, between the CSL parameter values and the cosmic microwave background observational data, are associated with specific choices made for the extrapolation to the cosmological context of the CSL theory (as it is known to work in non-relativistic laboratory situations) which do not represent the most natural ones.
Models of spontaneous wave function collapse modify the linear Schr\"odinger equation of standard quantum mechanics by adding stochastic nonlinear terms to it. The aim of such models is to describe the quantum (linear) nature of microsystems along with the classical nature (violation of superposition principle) of macroscopic ones. The addition of such nonlinear terms in the Schr\"odinger equation leads to nonconservation of energy of the system under consideration. Thus, a striking feature of collapse models is to heat nonrelativistic particles with a constant rate. If such a process is physical, then it has the ability to perturb the well-understood thermal history of the universe. In this article we will try to investigate the impacts of such heating terms, according to the continuous spontaneous localization model, on the standard evolution of nonrelativistic matter and on the formation of cosmic microwave background radiation. We will also put constraints on the continuous spontaneous localization collapse rate $\ensuremath{\lambda}$ by considering that the standard evolution of nonrelativistic matter is not hampered and the observed precise blackbody spectrum of cosmic microwave background radiation would not get distorted (in the form of $\ensuremath{\mu}$-type and yyy-type distortions) so as to violate the observed bounds.