This proof demonstrates P not equaling NP by establishing their informational distinctions, suggesting significant implications for computational theory.
Version 3.0 We establish that P ̸ = NP by demonstrating that the complexity classes represent mutually exclusive informational categories. Building on the foundational workof Cook [1], we define P as a Null-Transition State (T0) and NP as a StateTransition Event (T≥1). Within a discrete logical system, a static coordinate (0)and a dynamic vector (1) are categorically distinct; therefore, P cannot map ontoNP. This proof utilizes the fundamental definitions of verification, discovery, andthe emergence of time
No takes yet. Share an insight, caveat, or question.
Nicolas Antony Brown (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: