Published January 19, 2026 | Version v1
Technical note Open
Description
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. …
Published January 19, 2026 | Version v1
Technical note Open
Description
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
Files
Colision_SHA_256 (6).ipynb
Files (1.9 MB)
| Name | Size | Download all |
|---|---|---|
| Colision_SHA_256 (6).ipynb md5:edbb227b8b9cb4b8f128347c83e28e70 | 3.8 kB | Preview Download |
| collision_table.json md5:9a073ee72a510501cb29582299a8932a | 40.4 kB | Preview Download |
| main - 2026-01-19T140637.295.tex md5:acdfe45e82b8a16b92da56e7dc599f11 | 29.9 kB | Download |
| 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.pdf md5:5d8b4ef293bc60083b3fa714a3c7711e | 613.0 kB | Preview Download |
| omega_369_collision_tools.zip md5:b7bf758099b00f37b3bfcb36e63de5f0 | 95.9 kB | Preview Download |
| omega_369_collisions.json md5:e258e16cb07589291935dd8d0b235b72 | 52.4 kB | Preview Download |
| omega_369_oracle.zip md5:31e97c7f63014d9ee673f73db8dc88cc | 1.2 kB | Preview Download |
| OMEGA_COLISION_3.ipynb md5:b6c15955e3a412b64e3e914817ff8a48 | 323.5 kB | Preview Download |
| Proof.rar md5:9a0492356b1fdd248412e39bdc75e5a6 | 761.4 kB | Download |