DBITS Framework Validation

Dynamic Quantum Bits (dbits) — scale validation & equation-level proof certificates
Donte Lightfoot (2025) · Source: dbit_framework_corrected.pdf

Overall: PASS (6 / 6 certificates)

#	Certificate	Equations	Status
1	Jacobian spectral radius / stability box	Eq.101–107	PASS
2	Lyapunov V contraction	Eq.34, 41–42, 48	PASS
3	Gate families 1–10 Lyapunov/contraction	§6.5	PASS
4	Continuous PL composite Lyapunov	Eq.134–143	PASS
5	Primal-Heisenberg C_PL positivity	Eq.150–161, Thm 9.3	PASS
6	Scale multi-dbit (N=64, 500 steps)	Eq.65, 101, 107, Thm 6.7	PASS

Key numbers

• Max ρ(J) inside Eq.107 box: 0.941 (< 1)
• Lyapunov V: monotone decay to ~0
• Scale energy decay ratio: ~2.3×10⁻⁸⁹
• Content hash: 47ef7861e95ac866…

Stability box (Eq. 107)

δ, λ ∈ [0.2, 0.4]
|a_c κ| ≤ 0.1

Claim boundary (from paper)

We validate engineered non-Markovian memory + Lyapunov control.
Not claiming new fundamental physics or QM violations.

Reproduce locally

cd C:\\Users\\stlta\\dbits-validation
python run_dbits_validation.py
# open site\\index.html

Artifacts

• site/index.html — full interactive report with figures & animations
• artifacts/proofs/ — JSON certificates
• artifacts/figures/ — PNG scientific plots
• artifacts/animations/ — phase flow + Lyapunov GIFs

Deploy notes

• Vercel team stlnftarts-projects returned 402 account suspended (billing).
• Enable GitHub Pages on this repo (Settings → Pages → Deploy from main / root) after full site push, or open the local site/index.html.