Modified particle lifetimes as a signature of deformed relativity

TL;DR

This paper shows how deformed special relativity modifies particle lifetimes through corrected time dilation, providing a new way to test Lorentz invariance with high precision.

Contribution

It introduces a consistent framework for deformed Lorentz transformations in position space, leading to a first-principles correction to particle lifetime dilation.

Findings

Modified particle lifetimes differ from standard predictions.

Deformed Lorentz transformations are compatible with the relativity principle.

Potential for high-precision tests of Lorentz invariance.

Abstract

We demonstrate a compatibility between the relativity principle and the clock postulate in deformed special relativity, by identifying the relevant deformed Lorentz transformations in position space between arbitrary frames. This result leads to a first-principles correction to the dilated lifetime of fundamental particles. It turns out that these modified time dilations offer a way to scrutinize Lorentz invariance (or deviations thereof) to high precision.