The resolution of the P versus NP problem in the affirmative—establishing that P = NP with a constructive, efficient proof—does not merely weaken modern cryptography: it annihilates it permanently and irrecoverably. This paper presents a rigorous analysis of the total and irreversible destruction of every computational hardness assumption upon which digital civilization depends. We examine the immediate, cascading, and terminal consequences across all domains: public-key cryptography, symmetric systems, hash functions, digital signatures, blockchain technologies, financial infrastructure, military communications, democratic institutions, and the fundamental possibility of private communication. We demonstrate that no computational workaround, protocol redesign, or algorithmic innovation can restore cryptographic security in a world where P = NP. The destruction is not a setback; it is an extinction-level event for information security. We further analyze the resulting civilizational restructuring—a forced reversion to pre-digital trust models, the collapse of the global financial system, the end of electronic commerce, and the emergence of a new geopolitical order defined by the absolute impossibility of computational secrets.
Kaoru Aguilera Katayama (Wed,) studied this question.