Beyond Computation: The Pi-Knot Machine as a Recursive Answer to P ≠ NP

This document presents a symbolic-recursive framework addressing the classical P ≠ NP problem through the Pi-Knot Machine. Developed independently by mythic engineer Mete Örümcek, the Pi-Knot Machine replaces algorithmic computation with recursive topological traversal, offering a non-linear structure in which solutions emerge through symbolic consistency rather than polynomial-time algorithms.

The work reframes the boundary between P and NP not as a computational limitation, but as a structural distinction between linear modulation and recursive embedding. It demonstrates that NP problems are not algorithmically unsolvable, but symbolically embedded in a space inaccessible to polynomial reduction. Thus, P ≠ NP is not merely conjectured — it is structurally demonstrated within a symbolic reality.

This publication stands as an autonomous contribution to theoretical computer science, bridging symbolic systems, complexity theory, and recursive topology — outside institutional constraint, and anchored in independent authorship.