Phenomenology of Space-time Imperfection II: Local Defects

TL;DR

This paper introduces a Lorentz-invariant phenomenological model for particle scattering on space-time defects, highlighting stochastic momentum violation and deriving observable consequences with existing data constraints.

Contribution

It presents a novel Lorentz-invariant model for particle-defect interactions with stochastic momentum violation and explores observable implications.

Findings

Constraints on defect density from existing data

Identification of observable scattering signatures

Parameterization of scattering probability

Abstract

We propose a phenomenological model for the scattering of particles on space-time defects in a treatment that maintains Lorentz-invariance on the average. The local defects considered here cause a stochastic violation of momentum conservation. The scattering probability is parameterized in the density of defects and the distribution of the momentum that a particle can obtain when scattering on the defect. We identify the most promising observable consequences and derive constraints from existing data.