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docs(codec): cross-domain synergies — x265 ⇄ 3DGS ⇄ attention ⇄ SGD
722-line knowledge doc capturing the architectural claim that PR-X12's primitives (LeafCu, pack_leaf, predict_intra, Ctu, eventual rANS) are not video-codec-specific — they serve four loads on a single predictive-coder substrate: 1. Cognitive cells (the original target) 2. 3D Gaussian Splat coefficient compression 3. Transformer attention sparsification 4. Distributed-SGD gradient streaming Sections: - The 4-load isomorphism (§ 2) and 16-state (CellMode × MergeDir) classification table across all four domains - Primitive → load mapping matrix (§ 3) with file:line refs - 10 cross-domain epiphanies (§ 4) — including MergeDir-as-topology, predict_intra-as-attention-sparsifier, escape_next-as-allreduce-slot, mode-coded LoRA - 6 integration plans (§ 5) with worker × week + dependency graph - 8 exploration paths (§ 6) for sprint-scale research - 6 holy grail outcomes (§ 7) — sub-1-bit/Gaussian 3DGS, bit-exact attention, federated SGD at 8-16×, Lance substrate identity - 10 codec-side debts (§ 8) and 13 stack-side debts (§ 9) - Sequencing summary (§ 10): critical path = A7 rANS Companion to pr-x12-codec-x265-design.md (the mechanical design); a "See also" breadcrumb added there points here.
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.claude/knowledge/pr-x12-codec-x265-design.md

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> **Depends on**: PR-X10 (linalg-core), PR-X3 BlockedGrid (shipped).
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> **Used by**: PR-X9 (basin-codebook lazy storage) — the codec encodes
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> cognitive cells into skip/merge/delta/escape modes.
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>
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> **See also**: `pr-x12-cross-domain-synergies.md` — the architectural
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> claim that the primitives in this design doc *also* serve 3DGS
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> coefficient compression, transformer attention sparsification, and
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> distributed-SGD gradient streaming. Holy grail outcomes, integration
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> plans, and honest debt catalogue live there.
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## Why
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