Contextuality analysis of disturbing data cannot preserve core Kochen-Specker principles
The paper investigates whether extending Kochen-Specker contextuality to systems affected by disturbance is possible while maintaining its core principles. It proves that no extension can simultaneously satisfy four key axioms: determinism, monotonicity, post-processing, and independence. This impossibility theorem shows that any attempt to define contextuality in disturbing systems must abandon at least one of these fundamental KS principles.