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The Purity Factor // DCLM Layer [0] Law Floor

Deterministic Purity: "We do not claim cures, we claim paths to truth."

Modern software and finance operate on probabilistic guesses, hidden fees, and data harvesting. DualisCapax enforces an absolute Proof of Purity grounded in thermodynamics, symplectic geometry, and fiduciary law.

MATHEMATICAL PURITY

Symplectic Conservation

Liouville phase-space volume conserved with zero numerical drift across stiff multi-body equations.

det(M) ≡ 1.000000000000
PRIVACY PURITY

Thermodynamic Zeroization

Post-execution ephemeral memory wiped under Landauer bounds (Q ≥ kB * T * ln 2). Zero tracking.

0.00% Retained PII / PHI
TEMPORAL PURITY

Hardware Circuit Breaker

Invariant M-S watchdog thread decoupling prevents runaway algorithmic looping or latency spikes.

τ < 4.20 ms (0.045 ms Typ.)
COMMERCIAL PURITY

CRA Barter Parity

Zero speculative token float. All transactions settle with 1:1 spot CAD equivalence under Canadian law.

0.00% Speculative Spread
🏆 Red-Teaming Security Challenge // ED-BOUNTY-20260901-BREAK-INVARIANT $250,000 USD Bounty

The $250,000 "Break the Invariant" Challenge

We back our mathematical purity with escrowed capital. DualisCapax offers an open $250,000 USD prize to any researcher, cryptographer, or ethical hacker who can mathematically prove phase-space volume drift, breach the sub-4.20ms hardware watchdog, or extract 1 single byte of retained user PII from memory.