Appendix D: Data Tables & Reference Models

This appendix collects the key numerical projections, models, and reference tables used throughout the post-scarcity series. All figures are order-of-magnitude estimates intended to illustrate feasibility, not precise forecasts.

Table 1: Material Costs at Three Energy Price Scenarios

Cost to extract and refine one kilogram of each material, assuming energy is the dominant cost at scale and labor approaches zero.

Key insight: At $0.003/kWh, every material on Earth costs less than $1/kg in energy. At $0.0003/kWh, everything is under $0.01/kg. The price of physical stuff becomes dominated by capital cost of equipment, which itself trends to zero as robots build robots.

Table 2: Robot Population Projection 2025–2100

Assumptions: bootstrap starts with ~10K humanoid robots in 2025, doubling cycle of 18 months once closed-loop robot production is achieved (~2030), constrained only by energy deployment and raw material extraction.

Doubling time math: At 18-month doubling, 100 robots → 1 trillion in ~45 doublings ≈ 67.5 years. Starting count only shifts the calendar by a decade or two; the exponential dominates. Once a closed-loop bootstrap is achieved (robots building, programming, and maintaining the next generation of robots), the only constraints are energy and raw material. Solar deployment by robot teams and asteroid belt access remove both constraints.

Table 3: Solar System Resource Inventory

Total accessible resources. Earth's crust: 5.97 × 10²⁴ kg. All figures are approximate.

Key insight: The accessible resources in the solar system (asteroid belt + Kuiper belt + planetary bodies) exceed Earth's crust by a factor of 10⁶ to 10⁹. Even if humanity uses only the asteroid belt — 2.4 × 10²¹ kg — that is a million years of current global material consumption. At von Neumann factory scale, the belt could be processed in 25-50 years.

Table 4: O'Neill Cylinder Specifications

Standard design parameters based on Gerard K. O'Neill's 1976 calculations.

Earth comparison: Earth's total land area = 149 million km². Total habitable area ≈ 80 million km² (ice-free, above sea level).

• 100 standard cylinders (8 km): 8,000 km² = small country
• 10,000 standard cylinders: 800,000 km² ≈ Texas
• 1,000,000 standard cylinders: 80 million km² = all of Earth's habitable land
• 10,000,000 standard cylinders: 800 million km² = 10× Earth's habitable land

Power: Interior illumination requires mirrors reflecting sunlight. A standard 8 km cylinder with 50 m window strips at 60% reflectivity receives approximately the same energy per square meter as a temperate latitude on Earth. Climate control is achieved by adjusting mirror angle and active humidity management.

Table 5: Kardashev Scale with Timeline Projection

Current status: Humanity at ~Type 0.73 (2025 estimate). The jump from Type 1 to Type 2 is the most significant: capturing the entire output of one star (3.8 × 10²⁶ W for our Sun) provides a million-fold increase over full planetary capture (1.7 × 10¹⁷ W solar input to Earth).

Waste heat at Type 2: If we capture 3.8 × 10²⁶ W, we must radiate the same amount of waste heat. At 300 K (Earth-like temperature), the Stefan-Boltzmann law gives:

P = σAT⁴
A = P / (σT⁴)
A = 3.8 × 10²⁶ / (5.67 × 10⁻⁸ × 300⁴)
A ≈ 3 × 10²⁰ m²

Available radiating area at 1 AU (sphere): 2π × (1.5 × 10¹¹)² = 2.8 × 10²³ m². That's ~1,000 times more area than needed. Waste heat is NOT the limiting factor for a Type 2 civilization — space is cold and vast.

Table 6: Transition Scenario Comparison (2030-2045)

Three plausible models for how the transition unfolds, with governance and social outcomes.

Critical path: The single most important decision of the 2025-2035 window is who owns the robot fleet and self-replicating factories. Ownership structure determines whether the result is post-scarcity abundance for all or a new concentration of power. This is a governance design problem, not an engineering problem — and it must be solved before the bootstrap decade completes.

Table 7: Energy Deployment Scenarios

Solar capacity and cost projections, assuming robot teams deploy and maintain panels.

Energy math: 1,000,000 GW (1 terawatt of installed solar at global scale). At full capacity factor of 20% (average across all time zones), that's 200 TW of average power. Current global energy use is ~18 TW. That's a 10× current global energy use from solar alone. Add wind, nuclear, and space-based solar, and a million-fold economy becomes feasible by 2050-2070 in the best case.

Table 8: The Bootstrap Cost Model

One kilogram of refined aluminum from bauxite. At each energy price, what does it cost?

Energy required:    ~15 kWh/kg (Hall-Héroult process)
Capital cost/k:     $0.001/kg (amortized over factory lifetime, robot-built)
Labor cost/k:       $0.0001/kg (fully autonomous)
Material cost/k:    $0.0003/kg (clay feedstock)
Maintenance/k:      $0.0005/kg (robotic replacement parts)

Total at $0.03/kWh:  $0.0005 (energy) + $0.0019 (other) = $0.0024/kg
Total at $0.003/kWh: $0.00005 (energy) + $0.0019 (other) = $0.00195/kg
Total at $0.0003/kWh: $0.000005 + $0.0019 (other) = $0.0019/kg

Key insight: Below $0.003/kWh, energy ceases to be a meaningful cost component for any material. The remaining cost is capital (building the factory), which is also trending toward zero as robot factories build robot factories. The result is a recursive cost collapse where the cost of production approaches the thermodynamic minimum.

Table 9: Population Capacity in Orbital Habitats

Construction rate needed: To build 100,000 standard cylinders by 2070 requires ~2,000 cylinders per year starting in 2040. At $3B per cylinder robot-built, that's $6T/year — comparable to current global GDP, but decreasing in real terms as automation and asteroid materials drive costs down.

All tables are illustrative. See articles 2-9, 11-12 for derivations and source data.