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Observational Viability of ϕ2-Superpotential Inflation with GUP-Induced Corrections

Abstract

We study a ϕ2-superpotential inflationary model within a GUP-inspired quantum-gravity framework. Using horizon thermodynamics, we review the GUP-corrected Friedmann equations obtained by combining the temperature--surface-gravity relation with a modified entropy--area law. Reformulating the dynamics via a superpotential W(ϕ) with ϕ=ϕ(a), we obtain the corresponding slow-roll parameters and derive GUP-modified expressions for the scalar spectral index and the tensor-to-scalar ratio, leading to a deformation of the standard inflationary consistency relation. Adopting the quadratic ansatz W(ϕ)=1/2m2ϕ2, we evaluate the observables (ns,r) and compare them with the Planck 2018 TT, TE, EE + lowE + lensing + BK18 + BAO, DESI + CMB + DESY5, and Planck2018 + ACT + lensing + BK18 + BAO (from DESI) datasets. The analysis shows that, for moderately negative values of the effective GUP parameter β and sub-unity values of the phenomenological superpotential parameter C, the model predictions can fall within the 68% and 95% confidence regions of current observations. These results indicate that GUP-inspired corrections can shift the (ns,r) predictions of a quadratic superpotential toward the observationally favored region.

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BibTeX
@misc{rashidi2026observational,
  title = {{Observational Viability of $ϕ^2$-Superpotential Inflation with GUP-Induced Corrections}},
  author = {Narges Rashidi and Maryam Roushan},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02912},
  eprint = {2609.02912},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02912},
}
RIS
TY  - UNPB
TI  - Observational Viability of ϕ^2-Superpotential Inflation with GUP-Induced Corrections
AU  - Narges Rashidi
AU  - Maryam Roushan
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.02912
UR  - https://arxiv.org/abs/2609.02912
AB  - We study a ϕ^2-superpotential inflationary model within a GUP-inspired quantum-gravity framework. Using horizon thermodynamics, we review the GUP-corrected Friedmann equations obtained by combining the temperature--surface-gravity relation with a modified entropy--area law. Reformulating the dynamics via a superpotential W(ϕ) with ϕ=ϕ(a), we obtain the corresponding slow-roll parameters and derive GUP-modified expressions for the scalar spectral index and the tensor-to-scalar ratio, leading to a deformation of the standard inflationary consistency relation. Adopting the quadratic ansatz W(ϕ)=1/2m^2ϕ^2, we evaluate the observables (n_s,r) and compare them with the Planck 2018 TT, TE, EE + lowE + lensing + BK18 + BAO, DESI + CMB + DESY5, and Planck2018 + ACT + lensing + BK18 + BAO (from DESI) datasets. The analysis shows that, for moderately negative values of the effective GUP parameter β and sub-unity values of the phenomenological superpotential parameter C, the model predictions can fall within the 68% and 95% confidence regions of current observations. These results indicate that GUP-inspired corrections can shift the (n_s,r) predictions of a quadratic superpotential toward the observationally favored region.
ER  -