Geometry-Constrained Transport, Periodic Electrolyte Homogenization, and Multichannel Electronic Control in Lithium-Metal Solid-State Cells

Han Jae Jun

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Geometry-Constrained Transport in Lithium-Metal Solid-State Cells

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Source title: Geometry-Constrained Transport, Periodic Electrolyte Homogenization, and Multichannel Electronic Control in Lithium-Metal Solid-State Cells

Printed author: Mr.K · Archive author: Han Jae Jun

Year: 2026 · Working manuscript, not a verified journal publication.

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A 64-sector solid-state lithium-metal cell with a Li6PS5Cl electrolyte, NMC811 composite cathode, annular electronic connections, and independently controlled feed channels is analyzed through one coupled framework. Gaussian source regularization, T 3-periodic electrolyte homogenization, annular/solid-torus conductor topology and an insulated Möbius-inspired differential routing are used as mathematical and engineering tools, not additional material forces. Exact results include passive-network current-mode attenuation, nonnegative inverse-source feasibility and Gaussian-port bounds, a heterogeneous-sector pointwise current limit, optimized conductor mass under a specified power-loss cap, nonlinear transport comparison bounds, rate and inventory constraints, and positive two-lane Faradaic current lifts for a specified reference geometry. An independent 100-mm annular three-dimensional finite-volume Butler–Volmer problem is separately solved with nonlinear inverse-source, energy-balance and grid checks, whereas certain earlier fixed-state current margins remain unreplicated previously reported model outputs and are not experimental claims. The selected annular radii are 25 mm (inner) and 50 mm (outer), and areal charge is 3 mAh cm−2. Segmented aluminum positive current collection and copper negative current collection correct the conceptual assembly’s incompatible full-plane insulation and unqualified positive-side copper contact. Energy accounting combines an intrinsic Butler–Volmer/ionic necessary-loss floor with a globally optimized 100-mm auxiliary-power envelope and a 3D finite-volume positive thermal comparison; it excludes the inherited high-power multi-DAC scenario from the specified 95% round-trip screening target. A new three-dimensional vector-elastic, … [excerpt; full PDF linked below]

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@unpublished{Han2026ssbgtsmsinglepaperpublicdata20261014,
  author = {Han Jae Jun},
  title = {Geometry-Constrained Transport in Lithium-Metal Solid-State Cells},
  year = {2026},
  note = {Research source ZIP: SSB_GTSM_SINGLE_PAPER_PUBLIC_DATA_20261014.zip; independent theorem proof audit not certified},
  url = {https://han-jae-jun-research.vercel.app/research/ssb-gtsm-single-paper-public-data-20261014.html}
}

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