Determination of the UV cut-off from the observed value of the Universe acceleration

TL;DR

This paper presents a method to determine the ultraviolet cutoff in quantum field theory by relating vacuum fluctuations to the observed acceleration of the Universe, using the equation of motion of the Universe's scale factor.

Contribution

It introduces a novel approach to calculate the UV cutoff based on cosmological observations and the dynamics of the Universe's expansion.

Findings

UV cutoff can be estimated from the observed acceleration.

Renormalization is required only for massive particles.

Method links fundamental field properties to cosmological data.

Abstract

It is shown that using of the equation of motion of the Universe scale factor allows calculation of the contribution of the vacuum fluctuations to the acceleration of the Universe expansion. Renormalization of the equation is needed only in the case of massive particles. Under a known number of the different kinds of fundamental fields, this provides determination of momentum of the ultraviolet cut-off from the observed value of acceleration.