Perfect Concurrency and the P vs NP Problem (V3)

A new version is coming out soon

This paper introduces the Perfect Concurrency Model, an idealized framework with infinite parallelism and zero overhead. We prove that SAT requires Ω(2ⁿ) total work even in this model, and that this implies SAT ∉ P, hence P ≠ NP

- Added a formal Abstract clarification explicitly stating that the exponential lower bound applies to a semantically defined, worst-case subset of SAT formulas with unique satisfying assignments.
- Included Appendix A: Cross-Validation Summary — confirms consistency with all known SAT algorithms, PRAM/NC models, and quantum limits.
- Added Appendix B: FAQ — directly addresses common critiques (e.g., brute-force objections, scope of the lower bound, quantum models, and simulation directionality).
- Clarified the contrapositive logic near the Meta-Theorem and preserved the transformation lemmas rigorously.
- This version addresses all known concerns raised by peer reviewers and independent experts. It represents the final form of the argument asserting SAT ∉ P, and therefore P ≠ NP, via the Perfect Concurrency (PC) model.

For further clarification feel free to contact me at: dorelbaz38860@gmail.com