The Ramification Index — Version 2: The Bifurcated Index

Khayyam Wakil · The ARC Institute of Knowware · Calgary, AB · May 2026

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Paper

• Paper 2: Wakil_RamificationIndex_v2.pdf
• Web: https://fromknowware.github.io/bifurcation-memory-index/
• Dashboard: https://fromknowware.github.io/bifurcation-memory-index/dashboard.html
• v1 site: https://fromknowware.github.io/memory-index/

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What this is

The Ramification Index is a supply-side macroeconomic indicator built on the average selling price (ASP) of DRAM. It outperforms the Lipstick, Hemline, Men's Underwear, and Buttered Popcorn indices on recession coverage (6/6 vs. ≤3/6), lead time (1–3 quarters), and correlation with real GDP growth (r = 0.41 vs. ≤0.19).

Version 2 extends the original in seven ways:

1. Bifurcated index — Commodity (Rᶜ, DDR4/5) and AI/HBM (Rᴬᴵ) sub-indices capturing the structural decoupling since 2024
2. Granger causality — F = 5.83, p = 0.004; RAM Granger-causes quarterly GDP at 1–3 quarter lags in a VAR(2)
3. RAMageddon (2025–2026) — 90–95% QoQ surge; 130–144% YoY; sharpest in 46-year series history
4. Supply-side divergence regime — New interpretive state: Rᶜ ≫ 0 with weakening macro = contractionary, not expansionary
5. Algebraic formalisation — HBM/DDR split as prime splitting in *L/K/*ℚ, where e'ₕᵦₘ > e'ᴅᴅᴿ
6. Photonic disruption risk — Fiber-optic delay-line and co-packaged optics assessed; no material disruption before 2028–2030
7. Robustness checks — Spot vs. contract ASPs, measurement windows, NAND flash placebo (3/6 vs. 6/6)

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Repository structure

bifurcation-memory-index/
├── paper-arxiv/
│   ├── Wakil_RamificationIndex_v2.bib
│   ├── Wakil_RamificationIndex_v2.pdf
│   ├── Wakil_RamificationIndex_v2.tex
│   └── references.bib
├── data/
│   └── indices-wide.csv        ← 1980–2026, includes bifurcated sub-index columns
└── docs/                       ← GitHub Pages root
    ├── index.html
    ├── dashboard.html
    ├── Wakil_RamificationIndex_v2.pdf
    └── Why_DRAM_prices_predict_the_global_economy.mp3
    

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Data

data/indices-wide.csv — 1980–2026. New columns in v2:

Column	Description
ram_index_R	Log first-difference of composite DRAM ASP
ram_commodity_usd_per_gb	DDR4/5 price per GB (2024–2026)
ram_hbm_usd_per_gb	HBM price per GB (2024–2026)
ram_commodity_R	Commodity sub-index Rᶜ (2024–2026)
ram_ai_R	AI/HBM sub-index Rᴬᴵ (2024–2026)
hbm_weight	HBM revenue share wᴬᴵ (2024–2026)

Composite DRAM: McCallum archive (1980–2017) chain-linked to TrendForce DDR4 contract ASP (2018–2026).
HBM: Samsung/SK Hynix quarterly disclosures supplemented by TrendForce estimates.

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Citation

@unpublished{Wakil2026Ramification,
  author      = {Wakil, Khayyam},
  title       = {The Ramification Index: RAM Prices, Oligopoly Cycles,
                 and the Downstream Consequences of Semiconductor
                 Pricing as an Economic Signal},
  note        = {Version 2: The Bifurcated Index, Granger Causality,
                 and the 2025--2026 Supply-Side Divergence},
  year        = {2026},
  month       = {May},
  institution = {The ARC Institute of Knowware},
  url         = {https://fromknowware.github.io/bifurcation-memory-index/}
}

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License

CC BY 4.0 · Data, figures, and reproducible code.
Contact: the@knowware.institute