EMISSION MODEL — Smooth Exponential Decay

SOST uses a smooth exponential decay emission model, not a sharp halving like Bitcoin. Each epoch, the block reward decreases by a factor of q = e^-1/4 ≈ 0.7788, which means a ~22.12% reduction per epoch — a gradual, continuous curve instead of abrupt 50% drops.

The Mathematical Constants
• Decay factor q = e^-1/4 — the natural exponential base raised to -1/4. This produces the smoothest possible decay curve: R(e) = R₀ × q^e
• Feigenbaum δ ≈ 4.6692 — determines the hard supply cap: δ × 10⁶ = 4,669,201 SOST. This is the mathematical limit of the geometric series — no counter, no tracking, just convergence.
• Feigenbaum α ≈ 2.5029 — determines the epoch length: α × 10⁵ = 131,553 blocks per epoch ≈ 2.503 years.

Epoch Structure
• Epoch 0: 7.85100863 SOST/block (genesis reward)
• Epoch 1: 6.11448985 SOST/block (−22.1%)
• Epoch 2: 4.76155747 SOST/block (−22.1%)
• ...each epoch decays by the same smooth factor...
• Epoch 11: 0.60574158 SOST/block
• ~95% of total supply emitted by epoch ~12 (~30 years)
• Emission continues through ~82 epochs (~205 years) until rewards become negligible
• 100% emission is asymptotic — mathematically approaches but never reaches the cap

Coinbase Split (every block, forever)
50% Miner · 25% Gold Vault · 25% PoPC Pool

Why Feigenbaum?
The Feigenbaum constants (δ = 4.6692..., α = 2.5029...) are universal mathematical constants from chaos theory that describe the rate at which period-doubling bifurcations occur in dynamical systems. In SOST, they are used purely as irrational constants to set the supply cap and epoch length — values that cannot be derived from simple fractions, making them resistant to arbitrary parameter choices. The emission curve is deterministic, immutable, and verifiable by anyone from the genesis block.

─ █ block reward ┈ █ cumulative supply ┃ █ current position supply_max = δ·10⁶ ≈ 4,669,201 SOST