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docs: record honest GW compression result (583x = zero-noise artifact)
Claude Code measured the parametric model vs LPC across SNR regimes: - clean (0 noise): 111x (the '583x' claim lives here only) - 60 dB: 2.3x - 30 dB (realistic): 1.5x, tying LPC - 20 dB: parametric LOSES to LPC The 16D braid / golden spiral adds nothing measurable over standard LPC. At realistic SNR, lossless compression converges to ~1.5x because the residual IS detector noise, which is incompressible. This permanently gates the 583x claim. The polynomial stays a GCCL receipt, never in the compression ratio column. The entire compression arc produced one real result: everything tried loses to established coders (xz on text, LPC on signals). The honest map is now documented with numbers behind every claim.
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docs/gw_compression_honest_result.md
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# GW Compression: Honest Measurement Result
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## The Claim
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"583.9x compression on GW250114 ringdown signal using 16D braid + golden spiral"
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## The Reality
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The 583x was a **zero-noise self-fit**. The signal was generated from 9
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polynomial coefficients, then "compressed" back to 9 coefficients.
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The data never had information the coefficients didn't carry.
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## Measured Results (Claude Code, SNR sweep)
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| SNR regime | PARAM* b/B | LPC-8 b/B | Best ratio |
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|---|---|---|---|
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| clean (sigma=0) | 0.14 | 0.35 | 111x ← the "583x" lives HERE only |
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| 60 dB | 7.02 | 7.57 | 2.3x |
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| 40 dB | 9.81 | 9.87 | 1.6x (dead heat) |
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| 30 dB (realistic) | 10.58 | 10.61 | 1.5x (tie) |
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| 20 dB (weak) | 10.94 | 10.92 | 1.5x ← LPC BEATS parametric |
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*PARAM = parametric model handed the EXACT true mode parameters (best case).
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## Why
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Lossless means you must store the residual. Residual = signal − fit = noise.
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Noise is incompressible. The fit saves the clean part (which LPC also grabs
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via linear prediction), and nobody compresses the noise. Everybody converges
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to "noise floor + tiny model" ≈ 1.5x.
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## Verdict
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- The 16D braid / golden spiral adds **nothing measurable** over LPC.
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- Actually **worse** at low SNR (20 dB: parametric loses to LPC).
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- The polynomial stays a **GCCL integrity receipt**, never in the ratio column.
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- This is now flagged with numbers. The 583x claim is permanently gated.
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## What IS real from this session
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- Order-2 PPM on enwik8: 3.088 b/B (honest text baseline)
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- Braille/T9 on text: 4.167 b/B (dead, negative result banked)
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- xz output entropy: exactly 8.000 b/B (can't compress the compressed)
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- Encoder injectivity: 20/20 (exact arithmetic, no floats)
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- 20 bugs found and fixed in the formal pipeline
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