Quantum scale of inflation and particle physics of the early universe

TL;DR

This paper calculates the quantum gravitational scale of inflation using probability peaks in cosmological models, linking theoretical predictions with observational data and emphasizing the role of particle physics and initial quantum states.

Contribution

It introduces a method to determine the inflationary scale via probability peaks in cosmological models with nonminimal scalar field coupling, connecting quantum gravity, initial states, and particle physics.

Findings

Quantum scale of inflation aligns with observational data.

Probability peaks correspond to eternal or standard inflation scenarios.

Sub-Planckian parameters match inflation theory constraints.

Abstract

The quantum gravitational scale of inflation is calculated by finding a sharp probability peak in the distribution function of chaotic inflationary cosmologies driven by a scalar field with large negative constant $\xi$ of nonminimal interaction. In the case of the no-boundary state of the universe this peak corresponds to the eternal inflation, while for the tunnelling quantum state it generates a standard inflationary scenario. The sub-Planckian parameters of this peak (the mean value of the corresponding Hubble constant ${\mbox{\boldmath $H$}}\simeq 10^{-5}m_P$, its quantum width $\Delta{\mbox{\boldmath $H$}}/{\mbox{\boldmath $H$}}\simeq 10^{-5}$ and the number of inflationary e-foldings ${\mbox{\boldmath $N$}}\simeq 60$) are found to be in good correspondence with the observational status of inflation theory, provided the coupling constants of the theory are constrained by a condition which is likely to be enforced by the (quasi) supersymmetric nature of the sub-Planckian particle physics model.