Asymptotic approach to Special Relativity compatible with a relativistic principle

TL;DR

This paper introduces an asymptotic framework for describing Planck-scale deviations from Special Relativity that maintains relativistic principles, exploring potential experimental observability and theoretical limits across energy scales.

Contribution

It presents a novel asymptotic approach to incorporate Planckian deviations into Special Relativity while preserving its core principles, extending beyond traditional effective field theory expansions.

Findings

Conditions for experimental detection of Planckian effects

Limits of applicability at ultraviolet and infrared energies

Framework compatible with a relativistic principle

Abstract

We propose a general framework to describe Planckian deviations from Special Relativity (SR) compatible with a relativistic principle. They are introduced as the leading corrections in an asymptotic approach to SR going beyond the energy power expansion of effective field theories. We discuss the conditions in which these Planckian effects might be experimentally observable in the near future, together with the non-trivial limits of applicability of this asymptotic approach that such a situation would produce, both at the very high (ultraviolet) and the very low (infrared) energy regimes.