The Magnetic Kernel Hypothesis: A Philosophical Framework for the P vs NP Problem

This paper proposes a philosophical and computational framework—the Magnetic Kernel Hypothesis (MKH)—to conceptually bridge the gap between the classes P and NP. Instead of aiming for a formal proof, this work presents a foundational model that interprets computation as a layered generative process, where the Magnetic Kernel (MK) acts as the hardest nucleus of an NP problem, and the Residual (R) forms its accessible extension. Through this perspective, the generation of P from NP becomes a natural outcome of the internal structure of problems, suggesting that the distinction between P and NP may be epistemological rather than ontological.