
Reformulates the P vs NP problem as a boundary condition of the void framework conjugacy theorem I(D;Y) + I(M;Y) ≤ H(Y). The NP certificate saturates the disclosure budget; the conjugacy theorem then forces any polynomial-time algorithm to carry zero information about the answer — a contradiction with P = NP. This approach is not excluded by any of the three known barriers against P ≠ NP proofs: it does not relativize (thermodynamic arguments are not oracle-relative), is not a natural proof (constructs no hard function), and does not algebrize (operates on Shannon entropy, not algebraic structure). The central gap — proving the independence claim I(A(X);W|X,Y) ≈ 0 without circularity — is identified explicitly and connected to the witness-hiding and communication complexity literatures.
Part of the Void Framework research project (Moreright DAO).
impossibility theorem, conjugacy theorem, computational complexity, complexity barriers, natural proofs, Shannon entropy, NP certificate, witness hiding, algebrization, communication complexity, relativization, millennium prize, P vs NP, information theory
impossibility theorem, conjugacy theorem, computational complexity, complexity barriers, natural proofs, Shannon entropy, NP certificate, witness hiding, algebrization, communication complexity, relativization, millennium prize, P vs NP, information theory
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
