Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?

Abstract

The standard cosmological model, known as the LambdaCDM model, has been successful in many respects, but it has some significant discrepancies, some of which have not been resolved yet. In measuring the Hubble-Lematre parameter, there is an apparent discrepancy which is known as the Hubble tension, defined as differences in values of this parameter measured by the Type Ia Supernovae (SNeIa) data (a model-independent method) and by the Cosmic Microwave Background (CMB) radiation maps (a model-dependent method). Although many potential solutions have been proposed, the issue still remains unresolved. Recently, it was observed that the Hubble tension can be due to the concept of uncertainty in measuring cosmological parameters at large distance scales through applying the Heisenberg Uncertainty Principle (HUP) in cosmological setups. Extending this pioneering idea, in the present study we plan to incorporate the Extended Uncertainty Principle (EUP) containing a minimal fundamental measurable momentum (or equivalently, a maximal fundamental measurable length) as a candidate setup for describing large-scale effects of Quantum Gravity (QG) to address the Hubble tension and constrain the EUP length scale. In this regard, by finding a relevant formula for the effective photon rest mass in terms of the present-time value of the Hubble-Lematre parameter, we see that discrepancies in the value of photon rest mass associated with the Hubble-Lematre parameter values estimated from model-independent and model-dependent methods perhaps is the cause of Hubble tension.

13 pages, 2 figures, 4 tables Accepted for Publication in Physics of the Dark Universe

References in corpus (53)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• String Theory and Noncommutative Geometry
• 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
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Discreteness of area and volume in quantum gravity
• Tensions between the Early and the Late Universe
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Challenges for $\Lambda$CDM: An update
• Quantum Theory of Gravity I: Area Operators
• The trouble with $H_0$
• Minimal Length Scale Scenarios for Quantum Gravity
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• New physics in light of the $H_0$ tension: an alternative view
• The $H_0$ Olympics: A fair ranking of proposed models
• Photon and Graviton Mass Limits
• Non-minimal dark sector physics and cosmological tensions
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• Fractal Spacetime Structure in Asymptotically Safe Gravity
• Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
• Precision Cosmology? Not Just Yet
• Quantum Uncertainty in Doubly Special Relativity
• A Short Survey of Noncommutative Geometry
• The Hubble series: Convergence properties and redshift variables
• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Model independent constraints on dark energy evolution from low-redshift observations
• Fractal Structure of Loop Quantum Gravity
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Cosmographic Hubble fits to the supernova data
• Natural Cutoffs and Quantum Tunneling from Black Hole Horizon
• Extended Uncertainty Principle Black Holes
• 30 years in: Quo vadis generalized uncertainty principle?
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Could the cosmic acceleration be transient? A cosmographic evaluation
• The $H_0$ and ${\sigma }_8$ tensions and the scale invariant spectrum
• The Road to Precision Cosmology
• Solar wind test of the de Broglie-Proca's massive photon with Cluster multi-spacecraft data
• A path to precision cosmology: synergy between four promising late-universe cosmological probes
• Massive photons from Super and Lorentz symmetry breaking
• Precision Cosmology
• Hubble tension bounds the GUP and EUP parameters
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• Investigation of Unruh temperature of Black holes by using of EGUP formalism
• Minimum length effects in black hole physics
• The Heisenberg limit at cosmological scales
• On the uncertainty principle in Rindler and Friedmann spacetimes
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Extended uncertainty principle and Van der Waals black holes
• Another look on the connections of Hubble tension with the Heisenberg Uncertainty Principle

Cited by in corpus (7)

• Multidimensionality of the Hubble tension: the roles of ${\Omega }_m$ and ${\omega }_c$
• Dark Energy within the Generalized Uncertainty Principle in Light of DESI DR2
• Planck-PR4 anisotropy spectra show (better) consistency with General Relativity
• Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
• Bounded compactness from G(E)UP
• Uncertainty Principles and Non-local Black Holes
• The Extended Uncertainty Principle from a Projector-Valued Measurement Perspective