A theoretical framework demonstrates that P does not map to NP, indicating distinct computational categories.
Version 2.0 We establish that P ̸ = NP by demonstrating that the complexity classesrepresent mutually exclusive informational categories. We define P as a NullTransition State (T0) and NP as a State-Transition Event (T≥1). Withina discrete logical system, a static coordinate (0) and a dynamic vector (1) arecategorically distinct; therefore, P cannot map onto NP. This proof utilizes thefundamental definitions of verification, discovery, and the emergence of time
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Nicolas Antony Brown (2026) studied this question.
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