Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations

Abstract

The Generalized Uncertainty Principle (GUP) has emerged in numerous attempts to a theory of quantum gravity and predicts the existence of a minimum length in Nature. In this work, we consider two cosmological models arising from Friedmann equations modified by the GUP (in its linear and quadratic formulations) and compare them with observational data. Our aim is to derive constraints on the GUP parameter and discuss the viability and physical implications of such models. We find for the parameter in the quadratic formulation the constraint ${\alpha }_Q^2<10^{59}$ (tighter than most of those obtained in an astrophysical context) while the linear formulation does not appear compatible with present cosmological data. Our analysis highlights the powerful role of high-precision cosmological probes in the realm of quantum gravity phenomenology.

Minor changes, references added

References in corpus (18)

• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Hawking Radiation of Apparent Horizon in a FRW Universe
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• GUP parameter from quantum corrections to the Newtonian potential
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Beyond BAO: improving cosmological constraints from BOSS with measurement of the void-galaxy cross-correlation
• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Zero-point quantum fluctuations and dark energy
• Black Hole Remnants in the Early Universe
• Cosmological apparent and trapping horizons
• Minimal Length, Friedmann Equations and Maximum Density

Cited by in corpus (22)

• 30 years in: Quo vadis generalized uncertainty principle?
• Baryogenesis in non-extensive Tsallis Cosmology
• Baryon Asymmetry from the Generalized Uncertainty Principle
• Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Interacting quintessence in light of Generalized Uncertainty Principle: Cosmological perturbations and dynamics
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• Probing the generalized uncertainty principle through quantum noises in optomechanical systems
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
• Minimal Length, Nuclear Matter, and Neutron Stars
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Dark Matter as an effect of a minimal length
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
• Maximal acceleration in a Lorentz invariant non-commutative space-time
• Scalar field inflation driven by a modification of the Heisenberg algebra
• Remarks on the quasi-position representation in models of generalized uncertainty principle
• Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications