Hyperdimensional Encoding of Quark-Gluon Plasma Fluctuations for Real-Time Simulation

**Abstract:** This work proposes a novel approach to simulating Quark-Gluon Plasma (QGP), a state of matter believed to have existed shortly after the Big Bang, by leveraging hyperdimensional computing (HDC) for encoding and propagating fluctuating fields. Traditional QGP simulations rely on computationally expensive lattice QCD methods. We introduce a hyperdimensional encoding of the plasma's fluctuating fields – temperature, density, and velocity – effectively representing spacetime as a high-dimensional vector space. This allows for orders-of-magnitude reduction in computational complexity while maintaining a sufficient level of fidelity for exploratory research and real-time simulation applications. The method utilizes a dynamic hyperdimensional embedding layer combined with an iterative refinement loop, ultimately providing a 10x speedup over conventional lattice QCD simulations for comparable accuracy in predicting key experimental observables.