What does this research mean for the field?

Adding an R² Starobinsky-like correction to the previously falsified V5.13 topological-inflation potential makes the model observationally viable, yielding a scalar spectral index and tensor-to-scalar ratio consistent with Planck and BICEP-Keck constraints. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to introduce an R² correction to improve the V5.13 inflation potential, previously deemed falsified.

June 15, 2026Open Access

TQNT-V5.14 — R² Starobinsky-like correction to the falsified V5.13 inflation potential

Key Points

The aim is to introduce an R² correction to improve the V5.13 inflation potential, previously deemed falsified.
Introduced an R² Starobinsky-like term to the V5.13 inflation potential.
Left the coefficient a as a free parameter to reproduce scalar amplitude A_s.
Deferred deeper derivation of a to future work (V5.15).
Scalar spectral index improved to n_s = 0.967 (+0.71σ from Planck central value).
Tensor-to-scalar ratio found to be r ≈ 3e-3, within current observational limits.

Abstract

TQNT-V5. 14 introduces an R² Starobinsky-like correction to the V5. 13 topological-inflation potential that was reported as falsified against Planck/BICEP-Keck. With the R² term, the scalar spectral index is brought to nₛ = 0. 967 (+0. 71σ from Planck central value) and the tensor-to-scalar ratio to r ≈ 3e-3, well within current upper bounds. Honest status: the coefficient a in front of R² is left as a free parameter, calibrated to reproduce the observed scalar amplitude Aₛ. The derivation of a from the TQNT SU (2) ₁35 Chern-Simons sector is deferred to V5. 15. This paper is therefore presented as a coherence step — V5. 13 + R² is observationally viable, but the R² coefficient is not yet derived from first principles within TQNT. Complements the V5 monograph (10. 5281/zenodo. 19131538) and supersedes V5. 13 as the current V5 inflation candidate.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper