Four Products. One Framework.
Every product uses the same ι = 0 everlasting option formula — no interest rate anywhere in the stack.
The Foundation
Everlasting Option Engine
The mathematical core powering all 4 layers. Implements Ackerer Proposition 6 at ι = 0. One formula prices everything — tabarru, sukuk upside, CDS premium — without any interest rate.
κ-Signal Oracle
Real-time convergence intensity signal replacing the interest rate r. Riba-free, market-implied, on-chain observable. Foundation for all credit pricing across Layers 2–4.
Governance Token (BRKX)
100M fixed supply. Hold-based fee discounts from 5 bps to 2.5 bps. Governance votes weighted by balance. No lock-up required.
Shariah Registry
On-chain enforcement of Islamic finance rules. MAX_LEVERAGE = 5 is an immutable constant. Asset whitelist requires dual approval: DAO + Shariah board multisig.
Every Prohibition Addressed
9 Papers. All on SSRN.
Every design decision is grounded in original mathematics — nine working papers on SSRN. The six core protocol papers are below, alongside the κ-Standard, κ-DSGE, and κ-Framework monetary papers.
The Interest Parameter in Perpetual Futures
39,406 funding intervals — ι=0 funding distributions separate sharply from interest-bearing CEX venues (Cohen's d = 0.78)
From Perpetual Contracts to Islamic Credit
Stopping time θ_t ≡ credit event τ at ι=0 — enables riba-free pricing across sukuk, takaful, and credit
The κ-Yield Curve from Sovereign Sukuk Data
Real USD sukuk (273 bonds, 95 issuers, 17 countries): a riba-free yield curve — median κ̂ ≈ 1.9%/yr, credit-ordered (0.9% AAA → 5.6% unrated), upward-sloping. Measured, not benchmarked to SOFR.
κ-Rate Stochastic Hazard: Agricultural Takaful
On real USDA crop data, the κ-fair premium (9.6%) tracks realised loss-cost (7.9%) — a 0.82 loss ratio. Riba loading ≈ 7.4% at an 8% discount rate.
Islamic CDS on Smart-Contract Infrastructure
Mean riba premium 109 bps across 1,176 country-periods. Full lifecycle ~862k gas — sub-cent on Arbitrum L2 (gas-price dependent).
Integrated Simulation Framework for DeFi
0 insolvency events, Nash leverage 2.72×–3.28× (below 5× cap), net transfer ≈ $0 confirming ι=0
