Leviathan Hash v3.0 Fractal Edition A Novel Cryptographic Hash Function Based on Chaos Theory and Index Displacement

I present Leviathan Hash v3.0 (Fractal Edition), a novel cryptographic hash function that applies chaos theory principles to achieve strong collision resistance. The algorithm employs three key innovations: (1) Index Displacement with chaotic jumps, (2) Massive Prime Injection using a 10,000+ digit seed, and (3) a Fractal Carry Layer that ensures non-linear dependency on the entire input history. My implementation produces a 1024-character output and demonstrates excellent avalanche properties. Notably, Leviathan Hash v3.0 successfully resisted the author's own Dimensional Space Linearization Attack—the same method that broke the predecessor “Kaoru Hash” in seconds—surviving over 3 minutes of intensive cryptanalysis without yielding a collision. While I consider Leviathan Hash v3.0 secure for general purposes, I recommend integration with a Cryptographically Secure Pseudo-Random Number Generator (CSPRNG) for applications requiring the highest security guarantees.