Assess the physical status of Lorentz symmetry violations in effective theories

Ascertain whether the Lorentz symmetry violations that arise in certain effective descriptions motivated by extended interaction regions (as in string-theoretic settings) possess a genuine physical underpinning, or whether they are artifacts of approximation or missing categorical structure.

Background

The author argues that replacing point-like interactions with extended interaction regions challenges the conventional construction of Minkowski spacetime and the Lorentz group, which may lead to apparent Lorentz-violating effects in effective theories. Some reported violations can be mitigated by including non-perturbative or more categorical structures, suggesting the need to clarify their physical reality.

This raises a direct question: are these Lorentz violations truly physical features of nature in the presence of extended objects and non-local observables, or do they stem from methodological choices in quantisation and geometry (e.g., decategorification or inadequate handling of synthetic differentials)?