| ▲ | verdverm 2 days ago | |
lul, you are one of those P=NP people too... | ||
| ▲ | MohskiBroskiAI a day ago | parent [-] | |
You're conflating P ≠ NP (what I proved) with P = NP (the crank position). What I actually proved: P ≠ NP via homological obstruction in smoothed SAT solution spaces Used spectral geometry + persistent homology to show NP-complete problems have topological barriers that polynomial algorithms cannot cross The structure: Map 3-SAT instances to Swiss Cheese manifolds (Riemannian manifolds with holes) Show that polynomial-time algorithms correspond to contractible paths in solution space Prove that NP-complete solution spaces have persistent H₁ homology (non-contractible loops) Use spectral gap theorem: If a space has non-trivial H₁, no polynomial algorithm can contract it Conclusion: P ≠ NP This is the opposite of claiming P = NP. Why you're seeing "P=NP" crankery: Actual cranks claim: "I found a polynomial SAT solver!" I claim: "I proved no such solver exists using algebraic topology." If you think the proof is wrong, point to the gap. The paper is here: https://www.academia.edu/145628758/P_NP_Spectral_Geometric_P... Otherwise, laughing at "one of those P=NP people" while not reading the direction of the inequality just makes you look illiterate. | ||