Stochastic dark matter: Covariant Brownian motion from Planckian discreteness

Abstract

Quantum gravity has long remained elusive from an observational standpoint. Developing effective cosmological models motivated by the fundamental aspects of quantum gravity is crucial for bridging theory with observations. One key aspect is the granularity of spacetime, which suggests that free particles would deviate from classical geodesics by following a covariant Brownian motion. This notion is further supported by swerves models in causal set theory, a discrete approach to quantum gravity. At an effective level, such deviations are described by a stochastic correction to the geodesic equation. We show that the form of this correction is strictly restricted by covariance and the mass-shell condition. Under minimal coupling to curvature, the resulting covariant Brownian motion is unique. The process is equivalently described by a covariant diffusion equation for the distribution of massive particles in their relativistic phase space. When applied to dark matter particles, covariant Brownian motion results in spontaneous warming at late times, suppressing the matter power spectrum at small scales in a time-dependent manner. Using bounds on the diffusion rate from CMB and growth history measurements of $f{\sigma }_8$, we show that the model offers a resolution to the $S_8$ tension. Future studies on the model's behavior at non-linear cosmological scales will provide further constraints and, therefore, critical tests for the viability of stochastic dark matter.

arXiv comment67 pages, 13 figures, 2 tables

References in corpus (85)

• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Small-Scale Challenges to the $\Lambda$CDM Paradigm
• Sterile Neutrinos as Dark Matter
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• The Pantheon+ Analysis: Cosmological Constraints
• Planck 2018 results. V. CMB power spectra and likelihoods
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• The Core-Cusp Problem
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Modeling Uncertainty
• Large-scale instability in interacting dark energy and dark matter fluids
• The Cosmic Linear Anisotropy Solving System (CLASS) IV: Efficient implementation of non-cold relics
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Baryon acoustic oscillations with Lyman-$\alpha$ forests
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from anisotropic clustering analysis of the Quasar Sample in configuration space between redshift 0.8 and 2.2
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• Milky Way Satellite Census. III. Constraints on Dark Matter Properties from Observations of Milky Way Satellite Galaxies
• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Cold dark matter heats up
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic power spectrum between redshifts 0.6 and 1.0
• The distribution of dark matter in galaxies
• A Relativistic Version of the Ghirardi-Rimini-Weber Model
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: BAO and RSD measurements from the anisotropic power spectrum of the Quasar sample between redshift 0.8 and 2.2
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• There is No Missing Satellites Problem
• Dark energy as the weight of violating energy conservation
• Dark coupling
• A fresh look at linear cosmological constraints on a decaying dark matter component
• Arbitrating the $S_8$ discrepancy with growth rate measurements from Redshift-Space Distortions
• Quantum Gravity Phenomenology, Lorentz Invariance and Discreteness
• Relativistic state reduction dynamics
• Counting surface states in the loop quantum gravity
• Stochastic Theory of Relativistic Particles Moving in a Quantum Field: II. Scalar Abraham-Lorentz-Dirac-Langevin Equation, Radiation Reaction and Vacuum Fluctuations
• KiDS-1000 Cosmology: constraints beyond flat $\Lambda$CDM
• Spacelike Singularities and Hidden Symmetries of Gravity
• Complete solution of the Schrödinger equation for the time-dependent linear potential
• The Viability of Phantom Dark Energy: A Brief Review
• Quantifying the $S_8$ tension with the Redshift Space Distortion data set
• New Constraints on Warm Dark Matter from the Lyman-$\alpha$ Forest Power Spectrum
• Observational constraints on variable equation of state parameters of dark matter and dark energy after Planck
• Cosmological bounds on the equation of state of dark matter
• Clustering properties of a sterile neutrino dark matter candidate
• The effect of massive neutrinos on the matter power spectrum
• Strong constraints on decay and annihilation of dark matter from heating of gas-rich dwarf galaxies
• Imperfect fluid description of modified gravities
• Energy-momentum diffusion from spacetime discreteness
• Dark energy from quantum gravity discreteness
• Stochastic Gravity
• Consistent perturbations in an imperfect fluid
• Small scale aspects of warm dark matter : power spectra and acoustic oscillations
• Resolving the $H_0$ tension with diffusion
• Probing elastic interactions in the dark sector and the role of $S_8$
• To conserve, or not to conserve: A review of nonconservative theories of gravity
• Nonlocal Scalar Quantum Field Theory from Causal Sets
• Lyman-$\alpha$ Constraints on Cosmic Heating from Dark Matter Annihilation and Decay
• Effects of Unstable Dark Matter on Large-Scale Structure and Constraints from Future Surveys
• KiDS-1000: Cosmology with improved cosmic shear measurements
• An introduction to the relativistic kinetic theory on curved spacetimes
• Entanglement Entropy in Causal Set Theory
• Evolution of perturbations and cosmological constraints in decaying dark matter models with arbitrary decay mass products
• $S_8$ Tension in the Context of Dark Matter-Baryon Scattering
• Diffusion in unimodular gravity: Analytical solutions, late-time acceleration, and cosmological constraints
• Brownian Motion in Robertson-Walker Space-Times from electromagnetic Vacuum Fluctuations
• Suppression of non-manifold-like sets in the causal set path integral
• Algebraic Classical and Quantum Field Theory on Causal Sets
• Interacting dark sector from the trace-free Einstein equations: cosmological perturbations with no instability
• Nonconservative unimodular gravity: a viable cosmological scenario
• Stochastic Mechanics and the Unification of Quantum Mechanics with Brownian Motion
• Low energy bounds on Poincare violation in causal set theory
• Inflation and the cosmological (not-so) constant in unimodular gravity
• Polarization Diffusion from Spacetime Uncertainty
• Particle simulations in causal set theory
• Relativistic stochastic mechanics I: Langevin equation from observer's perspective
• Relativistic stochastic mechanics II: Reduced Fokker-Planck equation in curved spacetime
• Matter Growth in Imperfect Fluid Cosmology
• Quantum Mechanics from Stochastic Processes
• Single particle energy diffusion from relativistic spontaneous localization
• On the horizon entropy of a causal set
• In-in correlators and scattering amplitudes on a causal set

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