$\alpha$-attractor inflation modified by GUP in light of ACT observations

Abstract

Here, the $\alpha$-attractor inflation is investigated within a framework incorporating a minimal measurable length, as implemented by the Generalized Uncertainty Principle (GUP). The GUP modifications to the Friedmann equations and cosmological perturbation parameters are employed to assess the model observational viability against the Atacama Cosmology Telescope (ACT) data. Our results indicate that in the $r-n_s$ plane, the predictions of the standard $\alpha$-attractor model ($\beta =0$) lies near the $2\sigma$ boundary of joint observations. More interestingly enough is that in the presence of GUP effect, the predictions of the model for the GUP parameter $\beta \gtrsim O(10^{13})$ shifts into the $68\%$ CL interval. This value for $\beta$ is in well agreement with upper bounds on the GUP parameter deduced from cosmological analysis as well as quantum and gravitational experiments.

18 pages, 6 figures, 1 table

References in corpus (21)

• Universality of Quantum Gravity Corrections
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• No Existence of Black Holes at LHC Due to Minimal Length in Quantum Gravity
• 30 years in: Quo vadis generalized uncertainty principle?
• Fractional attractors in light of the latest ACT observations
• Minimal Length, Friedmann Equations and Maximum Density
• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
• Higgs-Modular Inflation
• Enhancement of primordial curvature perturbations in $R^3$-corrected Starobinsky-Higgs inflation
• Independent connection in ACTion during inflation
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• New generalized uncertainty principle with parameter adaptability for the minimum length
• Emergent Universe Model from Modified Heisenberg Algebra
• Higher-order generalized uncertainty principle applied to gravitational baryogenesis
• n-dimensional non-commutative GUP quantization and application to the Bianchi I model
• Neutrino Decoherence from Generalised Uncertainty
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Generalized uncertainty principle and neutrino phenomenology
• Observational Viability of the Intermediate DBI Inflation in the Presence of a Minimal Length
• Quantum Gravity Effects on the Tachyon Inflation from Thermodynamic Perspective

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• Loop quantum inflation with inverse volume corrections in light of ACT data