Mnemosyne proposes a 10^38 Joule physical security threshold for post-quantum AI systems on edge devices using thermodynamic principles.

Establishes a cryptographic security floor of 804+ bits derived from Landauer's Principle and the Margolus-Levitin quantum speed limit

Targets resource-constrained edge devices with only 2GB RAM using BFT-MESI cache coherence protocols

Formally verified using TLA+ specification language with preliminary model checking completed for small configurations

Introduces Proof of Useful Work (PoUW) framework to incentivize socially beneficial AI computation

175-page manuscript includes 14 original theorems; author seeking PhD candidates in security and distributed systems