Feasibility and Memory Mechanisms of Chern-Simons Context Reservoir Computation
We investigate whether a Chern-Simons (CS) context reservoir is a viable computational substrate and whether evolving its gauge connection provides a benefit beyond simpler mechanisms. The reservoir state is a density fluctuation on a two-dimensional context manifold, whose drift is generated by a density-sourced connection. To separate generic reservoir behavior from gauge-specific effects, we compare four matched models: reciprocal transport, instantaneous transverse reconstruction, local nonlinear feedback, and fully coupled conserved-current CS dynamics. Across ten random seeds, the fully coupled CS dynamics propagates Gauss law to numerical precision, converges under spatial and temp...
| Authors | Jyotiranjan Beuria, Venkatesh H. Chembrolu |
|---|---|
| Primary category | cs.ET |
| Published | 10 September 2026 |
| Last updated at source | 10 September 2026 |
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