General Relativity and Quantum Cosmology · arXiv:1211.3463 v3 · submitted 14 Nov 2012
CSL Wave Function Collapse Model as a Mechanism for the Emergence of Cosmological Asymmetries in Inflation
The paper says
“This leads to passage from a homogeneous and isotropic stage to another, where the quantum uncertainties in the initial state of inflation transmute into the primordial inhomogeneities and anisotropies.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
As previously discussed in (D. Sudarsky, Int.J.Mod.Phys.D20:509-552, (2011); [arXiv:0906.0315]), the inflationary account for the emergence of the seeds of cosmic structure falls short of actually explaining the generation of primordial anisotropies and inhomogeneities. This description starts from a symmetric background, and invokes symmetric dynamics, so it cannot explain asymmetries. To generate asymmetries, we present an application of the Continuous Spontaneous Localization (CSL) model of wave function collapse (P. Pearle, Phys. Rev. A 39, 2277, (1989); G. C. Ghirardi, P. Pearle and A. Rimini, Phys. Rev. A42, 78 (1990)) in the context of inflation. This modification of quantum dynamics introduces a stochastic non-unitary component to the evolution of the inflaton field perturbations. This leads to passage from a homogeneous and isotropic stage to another, where the quantum uncertainties in the initial state of inflation transmute into the primordial inhomogeneities and anisotropies. We examine requirements for, and show how to achieve, compatibility with the precise observations of the cosmic microwave background (CMB) radiation.
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.83 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| As previously discussed in (D. | background 0.98 | 0.05 | 0.01 | unclear 0.99 |
| Sudarsky, Int.J.Mod.Phys.D20:509-552, (2011); [arXiv:0906.0315]), the inflationary account for the emergence of the seeds of cosmic structure falls short of actually explaining the generation of primordial anisotropies and inhomogeneities. | gap 0.58 | 0.07 | 0.06 | asserted 1.00 |
| This description starts from a symmetric background, and invokes symmetric dynamics, so it cannot explain asymmetries. | gap 0.77 | 0.08 | 0.06 | asserted 1.00 |
| To generate asymmetries, we present an application of the Continuous Spontaneous Localization (CSL) model of wave function collapse (P. | contribution 0.74 | 0.70 | 0.17 | asserted 0.96 |
| Pearle, Phys. Rev. A 39, 2277, (1989); G. C. Ghirardi, P. Pearle and A. | background 0.53 | 0.04 | 0.03 | unclear 0.89 |
| Rimini, Phys. Rev. A42, 78 (1990)) in the context of inflation. | background 0.46 | 0.12 | 0.03 | unclear 0.72 |
| This modification of quantum dynamics introduces a stochastic non-unitary component to the evolution of the inflaton field perturbations. | method 0.92 | 0.32 | 0.09 | asserted 1.00 |
| This leads to passage from a homogeneous and isotropic stage to another, where the quantum uncertainties in the initial state of inflation transmute into the primordial inhomogeneities and anisotropies. | result 0.52 | 0.65 | 0.64 | asserted 1.00 |
| We examine requirements for, and show how to achieve, compatibility with the precise observations of the cosmic microwave background (CMB) radiation. | contribution 0.96 | 0.89 | 0.10 | asserted 0.92 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.57
What was examined, and what was not
Sources read
- arXiv listing abstract v3
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,991 input tokens, $0.0003 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 6 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Observational constraints on quantum decoherence during inflation astro-ph.CO · Jan 2018
- Quantum Discord of Cosmic Inflation: Can we Show that CMB Anisotropies are of Quantum-Mechanical Origin? astro-ph.CO · Oct 2015
- Inflation after Planck: Judgment Day astro-ph.CO · Feb 2019
- Obstructions to Bell CMB Experiments astro-ph.CO · Jun 2017
- Stochastic inflation and primordial black holes astro-ph.CO · Sep 2020
- Black Holes: Eliminating Information or Illuminating New Physics? gr-qc · Feb 2017
How the literature uses it
20 arXiv papers cite this in 43 sentences
Papers whose main result relates to this one's
States the same result 1 paper
-
In particular, in addition to accounting for the quantum-to-classical transition, we use the CSL model to generate the primordial perturbations, that is, the dynamical evolution provided by the CSL model is responsible for the transition from a homogeneous and isotropic initial state to a final one lacking such symmetries.
Emergence of inflationary perturbations in the CSL model · 0.88
Papers citing it · 26 sentences without a confident label
Builds on it 1 paper
-
It would therefore also be of interest to explore inflationary collapse models [ref] in a trans-Planckian context.
Trans-Planckian fluctuations and the stability of quantum mechanics · Discussion and conclusion · 0.83
Uses its method or tool 1 paper
-
In order to apply the CSL model to the inflationary setting, we will follow the approach first introduced in [ref] .
Constraining quantum collapse inflationary models with current data: The semiclassical approach · CSL inflationary approach · 0.93
Cites it as support 2 papers
-
In Ref. [ref] , it was demonstrated that the simplest functional dependence $λ_k =λ_0 k$ can indeed be interpreted as a specific form of the collapse operator.
Observational constraints on the second-order primordial power spectrum: Exploring a Continuous Spontaneous Localization inspired inflationary model · Parameterization of $λ_k$ · 0.97
-
Thus, non-unitary modifications to quantum theory derives motivation also from quantum cosmology [ref] .
Black Holes: Eliminating Information or Illuminating New Physics? · Bargaining unitarity: Modifications of quantum physics · 0.96
Cites it as background 10 papers
-
For this purpose, there are two approaches that have been developed recently: i) a purely phenomenological approach, which is described by a general parametrization of the quantum state after collapse; we will refer to this as collapse schemes approach [ref] ii) the proposal based on the use of an adaptation to cosmology of the Continuous Spontaneous Localization (CSL) model [ref] where a modification of the Schrödinger equation leads naturally to the eventual collapse of the inflaton wave function [ref] .
Constraining quantum collapse inflationary models with current data: The semiclassical approach · Introduction · 0.80
-
Such modifications will have implications for inflationary dynamics, and their role in generating classical density perturbations has been analyzed extensively by Sudarsky and collaborators [ref] .
Quantum to Classical Transition of Inflationary Perturbations - Continuous Spontaneous Localization as a Possible Mechanism - · Introduction · 0.86
-
Clearly, the structures observed today are classical objects and the question of how the quantum-to-classical transition occurred in a cosmological context remains unanswered and has been the subject of many investigations [ref] .
Observational constraints on quantum decoherence during inflation · Introduction · 0.87
What it cites · 7 sentences without a confident label
Compares with 1 paper
-
It seems therefore that the results can be understood as follows: The localizing effect of CSL is not enough to overcome the large increase in the uncertainty of the operator considered in [ref] , but on the other hand its enough to produce the desired localization in the operator whose uncertainty would have remained constant in the absence of the localization effects of CSL.
Cosmological Inflation and the Quantum Measurement Problem · Discussion · 0.96
Cites as background 1 paper
-
This issue has been studied and debated extensibly in the scientific and philosophical literature [ref] .
Why Decoherence has not Solved the Measurement Problem: A Response to P. W. Anderson · Introduction · 0.96
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment