Quantum Holographic Dynamics in the Brain's Proton Spin Ensemble

Non-compact symmetries such as SU(1,1) govern quantum amplification and squeezing, yet have not been directly identified in macroscopic spin ensembles. Here we apply a symmetry-based analytical framework to previously published magnetic resonance data acquired from proton spin ensembles in the living human brain. By reanalyzing the zero-quantum (ZQ) signal within this framework, we isolate a non-compact SU(1,1) sector of the full SU(4) spin algebra and exclude all compact SU(2) exchange pathways. A calibrated signal-level witness links the measured ZQ amplitude to the off-diagonal density-matrix element, yielding a direct lower bound on concurrence. The observed signal exceeds the separability threshold, confirming bipartite entanglement within the SU(1,1) manifold. This non-compact symmetry defines a hyperbolic temporal geometry that can be interpreted holographically as a non-traversable wormhole connecting correlated spin sectors. Such an entangled bridge provides a natural physical analogue of working memory. Independent evidence shows that the same magnetic-resonance signal correlates with short-term memory performance, supporting this interpretation and suggesting that transient SU(1,1) entanglement in the brains proton spin ensemble may underlie a functional holographic memory mechanism.