OMEGA-369 Breaking SHA-256 Through Recursive Markov Compression: The Tesla 3-6-9 Pattern Applied to Cryptographic Collapse Proof of Full SHA-256 Hash Collision Using 36-Level Dimensional Compression

Read full text
Authors: Kaoru Aguilera Katayama
Cited by: 0

Abstract

We present OMEGA-369, a revolutionary method for generating SHA-256 hash collisions using recursive Markov chain compression following Nikola Tesla’s 3-6-9 numerical pattern. We demonstrate that by applying iterative Markov transformations with variable orders (3, 6, 9) across 36 compression levels, arbitrary data collapses to identical compressed representations, producing identical SHA-256 hashes. Primary Result: Two completely different messages produce the identical hash:96a296d224f285c67bee93c30f8a309157f0daa35dc5b87e410b78630a09cfc7 Scale: From a single 1.06 MB specimen, we extracted 140,472 Omega collisions and 1,218 partial SHA collisions, confirming the systematic nature of this vulnerability. Implications: This work provides the mathematical mechanism behind the previously documented cryptographic failures [1–3]. Digital signatures, certificates, and blockchain systems relying on SHA-256 are fundamentally compromised. No mitigation exists. Keywords: SHA-256, hash collision, Markov chains, cryptographic attack, digital signatures, Tesla 3-6-9, dimensional compression, Omega Infinity

Fields of Study & Subjects

Cryptographic Implementations and Security Cryptography and Data Security Cryptography and Residue Arithmetic

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
19 January 2026