The Abdeslam Structural Compression Limit: A Deterministic Resolution to the P versus NP Problem

This paper presents a deterministic proof that polynomial-time machines cannot solve all NP-complete problems. We introduce the Abdeslam Structural Compression Limit, showing that any attempt to compress exponentially many logical branches into a sub-exponential number of computational paths leads to contradiction. The proof demonstrates that correctness and determinism cannot be preserved under such compression. We also define the Abdeslam Deterministic Visibility Limit — the input size beyond which deterministic visibility collapses. Together, these results confirm that no deterministic polynomial-time machine can decide all satisfiability instances, resolving the P versus NP problem within classical computation.