A First Post-Friedmann Extension of the Schr"odinger Approach to Cosmic Structure Formation

arXiv:2606.16521 · astro-ph.CO, gr-qc · Submitted 2026-06-15 · Read on arXiv

Yiwen Deng-Huang, Daniele Bertacca, Sabino Matarrese

astro-ph.CO, gr-qc

Submitted: 2026-06-15

Comments: In this version, we correct typos in the Appendix

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Clustering — 8× in this paper · explained in 2 episodes
• N-body simulations — 6× in this paper · explained in 2 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Cold Dark Matter — 4× in this paper
• Non-Gaussianity — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Square Kilometre Array — 2× in this paper
• Weak Lensing — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Gravitational Lensing — 1× in this paper · explained in 2 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Planck 2018 results. VI. Cosmological parameters
• DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements
• DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints
• Cosmological perturbations
• Eulerian Perturbation Theory in Non-Flat Universes: Second-Order Approximation
• Lagrangian theory of gravitational instability of Friedman-Lemaitre cosmologies - generic third-order model for non-linear clustering
• Perturbative Lagrangian Approach to Gravitational Instability
• Lagrangian Dynamics in Non-Flat Universes and Non-Linear Gravitational Evolution
• A Test of the Adhesion Approximation for Gravitational Clustering
• Modeling multi-stream flow in collisionless matter: approximations for large-scale structure beyond shell-crossing
• Testing Higher--Order Lagrangian Perturbation Theory Against Numerical Simulations -- 2. Hierarchical Models
• The Effective Field Theory of Large Scale Structures at Two Loops
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• A Wave-Mechanical Approach to Cosmic Structure Formation
• The Origin of Spatial Intermittency in the Galaxy Distribution
• The Wave Mechanics of Large-scale Structure
• Classical Fluid Analogies for Schr\"odinger-Newton Systems
• Schr\"odinger method as N-body double and UV completion of dust
• Semiclassical path to cosmic large-scale structure
• Euclid. I. Overview of the Euclid mission

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