Corrections to the Newton and Coulomb potentials caused by effects of spacetime foam

TL;DR

This paper investigates how spacetime foam, modeled through extended quantum field theory, modifies Newton and Coulomb potentials at large scales, leading to a transition from inverse-square to inverse-linear force behavior.

Contribution

It demonstrates that EQFT predicts a cutoff for quantum fields and alters the large-scale behavior of massless fields, affecting fundamental force laws.

Findings

Spacetime foam introduces a cutoff at small scales.

Massless fields behave differently at large scales.

Newton and Coulomb forces become proportional to 1/r at large distances.

Abstract

We use an extended quantum field theory (EQFT) hep-th/9911168 to explore possible observational effects of the spacetime. It is shown that as it was expected the spacetime foam can provide quantum bose fields with a cutoff at very small scales, if the energy of zero - point fluctuations of fields is taken into account. It is also shown that EQFT changes the behaviour of massless fields at very large scales (in the classical region). We show that as $r\gg 1/\mu $ the Coulomb and Newton forces acquire the behaviour $\sim 1/r$ (instead of $1/r^{2}$).