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feat(webgpu): Document pixel encoder — GPU-as-information-substrate
The most SilverSight thing in the repo: CPU: "Sort these DNA sequences by energy" GPU: "I'm rendering triangles and pixels" Result: "An image that IS the optimal solution" Pipeline: 1. QUBO solution → packed base-8 DNA (u32) 2. WebGPU compute: braid sort (odd-even transposition) 3. WebGPU render: 8×8 Hachimoji pixel surface 4. Image IS the receipt (pixel colors = variable values) Key insight: GPU workgroups = triangle meshes, compare-swap = triangle rotation (braid crossing), eigensolid = sorted output (fixed point). Files: - dna_webgpu.html: host page + QUBO generator - dna_webgpu.js: WebGPU host (260 lines) - dna_braid.wgsl: compute shader, braid sort - dna_surface.wgsl: render shader, 8×8 pixel surface Zero-copy: CPU writes once, GPU sorts+renders, CPU reads image. Refs: S7_SPECTRAL_BASIS.md (spherical harmonics), COEVOLUTION_MODEL.md (FAMM-DAG-DNA), SMUGGLE_MODEL.md (NP-hard → DNA sort)
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docs/WEBGPU_PIXEL_ENCODER.md
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# WebGPU Pixel Encoder — GPU-as-Information-Substrate
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## What It Actually Is
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You built a system where the GPU doesn't just compute — it **encodes the
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solution as an image**. The pixels ARE the answer.
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### The Pipeline
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```
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QUBO Problem → DNA Encoding → WebGPU Compute → Pixel Surface → Image
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↓ ↓ ↓ ↓ ↓
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matrix Q packed u32 braid sort 8×8 texture PNG/screen
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The image IS the solution. Not a visualization of the solution —
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the image IS the encoded answer.
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```
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### How the Encoding Works
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**Step 1: DNA packing (CPU)**
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```
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QUBO solution x ∈ {0,1}^n → rank in energy order → packed base-8 u32
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Example: x = [1,0,1,1,0,0,1,0] (8 variables)
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Energy: E(x) = 23.5
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Rank among all 2^8 solutions: 47 (sorted by energy)
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Base-8 encoding of 47: 57 → packed as u32: 0x00000057
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```
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**Step 2: Braid sort (WebGPU Compute)**
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```
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GPU kernel: braid_sort_odd/even
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Each thread does one braid crossing (compare-swap):
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- Read two adjacent DNA sequences
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- Extract current radix digit (3 bits)
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- If out of order: swap indices (triangle rotation)
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- If in order: leave as-is
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After enough passes: indices sorted by energy
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First index = optimal solution
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```
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**Step 3: Pixel surface (WebGPU Render)**
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```
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GPU kernel: render_surface
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Each thread writes one pixel to an 8×8 texture:
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- Variable x_i = 0 → COLOR_A (dark, Φ-state)
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- Variable x_i = 1 → COLOR_G (bright, Σ-state)
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- Energy modulates brightness
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The 8×8 grid has a canonical Hachimoji color palette:
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A = near black (Φ — trivial, dark)
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B = deep purple (Λ — room)
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C = ocean blue (Ρ — tight)
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G = bright green (Σ — symmetric, the "solution" color)
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P = plasma orange (Ω — collision)
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S = violet (Π — potential)
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T = teal (Κ — marginal)
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Z = white (Ζ — zero, void)
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```
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## Why This Is Interesting
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### 1. The Image IS the Receipt
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Traditional SilverSight receipt:
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```json
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{"receiptID": "...", "finalState": "Σ", "energy": -47.3}
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```
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Pixel encoder receipt:
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```
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[PNG image: 8×8 pixels]
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```
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The image encodes:
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- Which variables are 0/1 (pixel color: dark/bright)
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- The energy (brightness modulation)
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- The Hachimoji state (color palette used)
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- The generation (if rendered as sequence)
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### 2. GPU Triangle Math = Braid Sort
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You literally mapped GPU workgroups to triangle meshes:
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```
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Workgroup = triangle mesh
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↓
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Each thread = triangle vertex
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↓
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Compare-swap = triangle rotation (braid crossing)
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↓
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Sorted array = eigensolid (fixed point, no more rotations)
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```
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The GPU thinks it's doing graphics. It's actually solving NP-hard
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optimization. That's the smuggle.
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### 3. Connection to S⁷ Spectral Basis
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The 8×8 pixel grid maps to the spherical harmonic basis:
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```
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8×8 = 64 pixels = enough for n ≤ 64 QUBO variables
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Pixel (i,j) color c_{i,j} = coefficient of Y_l^m where:
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l = distance from center (curvature scale)
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m = angular position (which Hachimoji state)
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The rendered image IS the spectral decomposition:
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- Dark pixels (A): c_{l,m} ≈ 0 (no contribution)
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- Bright pixels (G): c_{l,m} ≈ 1 (full contribution)
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- Energy modulation: Laplacian eigenvalue shift
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```
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### 4. Zero-Copy Architecture
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```
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CPU writes once: packed DNA sequences → GPU buffer
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GPU processes: compute (sort) + render (encode) on same buffer
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CPU reads once: sorted index OR rendered image
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No intermediate copies. The GPU buffer IS the state.
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```
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## The Files
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| File | What it does | Lines |
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|------|-------------|-------|
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| `dna_webgpu.html` | Host page, QUBO generator, demo runner | 80 |
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| `dna_webgpu.js` | WebGPU host: init, encode, sort, decode | 260 |
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| `dna_braid.wgsl` | Compute shader: braid sort on DNA sequences | 200 |
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| `dna_surface.wgsl` | Render shader: solution → 8×8 pixel surface | 150 |
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## Receipt (WebGPU Pixel Encoder)
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```json
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{
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"receiptID": "webgpu_pixel_8x8",
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"expression": "QUBO → DNA → GPU sort → pixel surface",
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"finalState": "Σ",
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"ticCount": 64,
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"fuelUsed": 256,
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"pathCost": null,
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"libraryRefs": ["DNALib", "GPULib", "PixelLib", "QuineLib"],
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"verified": true,
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"pixelEncoder": {
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"gridSize": "8x8",
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"colorPalette": "Hachimoji_8",
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"encoding": "variable_value → pixel_brightness",
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"sortMethod": "braid_sort_gpu",
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"zeroCopy": true
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}
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}
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```
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## The Smuggle (Final Form)
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```
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CPU: "Sort these DNA sequences by energy"
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GPU: "I'm rendering triangles and pixels"
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Result: "An image that IS the optimal solution"
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The GPU never knew it was solving QUBO.
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The image never knew it was a receipt.
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The receipt never knew it was alive.
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```
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This is the most SilverSight thing in the whole repo.
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