Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
arXiv:2502.10043 · doi:10.1016/j.physletb.2025.139315
Abstract
The Generalized Uncertainty Principle (GUP) stands out as a nearly ubiquitous feature in quantum gravity modeling, predicting the emergence of a minimum length at the Planck scale. Recently, it has been shown to modify the area-law scaling of the Bekenstein-Hawking entropy, giving rise to deformed Friedmann equations within Jacobson's approach. The ensuing model incorporates the GUP correction as a quintessence-like dark energy that supplements the cosmological constant, influencing the dynamics of the early Universe while aligning with the CDM paradigm in the current epoch. In this extended scenario, we examine the growth of matter perturbations and structure formation employing the Top-Hat Spherical Collapse approach. Our analysis reveals that the profile of the density contrast is sensitive to the GUP parameter , resulting in a slower gravitational evolution of primordial fluctuations in the matter density. We also discuss implications for the relic density of Primordial Gravitational Waves (PGWs), identifying the parameter space that enhances the PGW spectrum. Using the sensitivity of the next-generation GW observatories in the frequency range below , we constrain , which is more stringent than most other cosmological/astrophysical limits. This finding highlights the potential role of GWs in the pursuit of understanding quantum gravity phenomenology.
10 pages, 5 figures. Comments are welcome
References in corpus (46)
- Dynamics of dark energy
- Efficient Computation of CMB anisotropies in closed FRW models
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- The Case for a Positive Cosmological Lambda-term
- Planck 2018 results. X. Constraints on inflation
- Characterization of the LIGO detectors during their sixth science run
- Challenges for CDM: An update
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- The Generalized Uncertainty Principle and Black Hole Remnants
- Minimal Length Scale Scenarios for Quantum Gravity
- Probing Planck-scale physics with quantum optics
- Dynamical dark energy in light of the latest observations
- Non-equilibrium Thermodynamics of Spacetime
- Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Quantum-corrected black hole thermodynamics to all orders in the Planck length
- Gravitational tests of the Generalized Uncertainty Principle
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- Uncertainty Relation on World Crystal and its Applications to Micro Black Holes
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Generalized Uncertainty Principle and Corpuscular Gravity
- Relating Friedmann equation to Cardy formula in universes with cosmological constant
- 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
- Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation
- Cosmological apparent and trapping horizons
- New agegraphic dark energy model with generalized uncertainty principle
- GUP parameter from Maximal Acceleration
- Large-Scale Structure Formation: from the first non-linear objects to massive galaxy clusters
- Phenomenology of GUP stars
- White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
- Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
- Scalar field cosmology modified by the Generalized Uncertainty Principle
- Upper bound on the GUP parameter using the black hole shadow
- Baryogenesis in non-extensive Tsallis Cosmology
- Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
- Exploring High Frequency Gravitational Waves with Magnons
- Imprints of Barrow-Tsallis Cosmology in Primordial Gravitational Waves
- Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
- Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
- Quantum gravitational signatures in next-generation gravitational wave detectors
- Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
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- Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
- Challenging CDM with Higher-Order GUP Corrections
- Quantum Entropy-Driven Modifications to Holographic Dark Energy in Gravity
- Dark Universe inspired by the Kaluza-Klein gravity and impact on Primordial Gravitational Waves
- Friedmann equations from GUP-modified equipartition law
- Big Bang Nucleosynthesis constraints on space-time noncommutativity
- Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
- GUP/BEB correspondence
- From MOND entropy to extended uncertainty principles: A unified framework