Exhibit A · Shadow Accounting

The Accounting

Energy method: population × GJ/cap/yr × duration (primary energy base)
Units: 1 GJ = 277.78 kWh · 1 EJ = 10⁹ GJ · 1 bbl = 6.1 GJ
Shadow $/GJ: $12.30 (Brent $75 ÷ 6.1 GJ/bbl)
Blood price: value extracted per litre · medical ref $880/L
War dead: direct conflict deaths only · mid-estimates · see sources below
I Era Record 6 eras · 12 variables · war deaths × 5L/person vs total civilizational energy
II The Hunger Line liters blood/EJ ● · $/L extracted ◆ · substrate GJ/unit ✕ · god bands · OLS
↑ The machine eats the same amount. Every time.
III Substrate Compression GJ per primary unit · log scale · multiplier vs grain baseline
IV The Numbers aggregate figures · cross-era · the bottom line
V The Invariants what doesn't change · the equation · the price
Energy method. The math is simple. Population × energy per person per year × years. The substrate changed across six eras — grain, wood, coal, oil — but the formula did not. We ran the numbers. The accountant remains unbothered.
Per-capita energy figures: Bronze 50M×6×2800yr · Roman 60M×10×900 · Feudal 80M×12×900 · Colonial 80M×15×350 · Industrial 400M×25×200 · Modern 4B×75×76. Sources: IEA historical estimates; Smil, Energy in World History (1994).
Deaths. War-attributable direct deaths only. Bronze: ancient Near East conflicts est. Colonial: slave transit mortality (2M) + conquest. Industrial: WWI 20M + WWII 70–85M + colonial wars. Modern: post-9/11 (Brown Univ. Costs of War) + Cold War proxy wars. All mid-estimates; confidence intervals shown.
Blood volume. 5 liters per person. That's 1.32 gallons — roughly the size of a large gas station Slurpee. Your car's gas tank: approximately 0.003 people. A barrel of oil: 158.99 liters of petroleum, or about 31.8 people's worth of blood. This is not a metaphor. This is a unit conversion.
Blood price. Modern energy extraction yields $2.2M in value per liter of blood spilled. The medical market charges $880 for the same liter. Externality gap: 2,548×. Formula: (shadow_$/GJ × GJ/death) ÷ 5L. Not the cost paid — the value extracted. This is simply the most favorable accounting in the history of civilization, and it runs on a currency that never appears on the balance sheet.
Congratulations. You are undervalued.
[1] Per-capita energy by era: IEA historical estimates   [2] Smil, Vaclav. Energy in World History. Westview Press, 1994   [3] Bronze Age deaths: ancient Near East conflicts, conservative estimate   [4] Colonial deaths: slave transit mortality (2M) + conquest wars   [5] Industrial deaths: WWI ~20M (ICRC); WWII ~70–85M (Weinberg) + colonial wars   [6] Modern deaths: Brown Univ. Costs of War Project, 2023; Cold War proxy wars   [7] Medical blood price: Red Cross / hospital acquisition cost $440–880 USD/L   [8] Shadow $/GJ: Brent crude $75/bbl ÷ 6.1 GJ/bbl = $12.30/GJ (EIA 2025)
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