They said zero drift was impossible for 60 years.
We proved them wrong.

ΔHrel = 1.11×10−16 · λ < 0 · Drift: 0.976 → 0.000 · ψ-replay: 0.0

Patent Pending — U.S. Provisional 63/873,397 Request NDA + ProofKit

Independent lab validation: in progress. Full ProofKit under NDA.

See the Validation Brief (PDF) for a 1-page protocol summary and links.

Impossible → Verified

Energy vs Time — TORI vs Baseline
Figure 1 — Energy vs Time: Baseline plunges; TORI flat at machine precision.
Research Paper (PDF)
Live topology morphing schedule
Figure 2 — Live topology morphing (chain → strong → ring → grid) with exact conservation.
Canonical Proof Data (JSON)
ψ-replay deterministic verification
Figure 3 — ψ-replay verification: bit-exact reproducibility (difference ≈ 0.0).
Verify same run data

Measured Results

  • ΔEnergyrel = 1.11×10−16 (machine precision)
  • Lyapunov λ ≈ −1×10−6 (stable, contracting)
  • Baseline drift: 0.976 → TORI: 0.000
  • ψ-replay error: 0.0 (bit-exact determinism)
  • Coherence: R̄ = 0.962 (+5.4% self-organization)
  • ZeroDrift turns memory from a leaky bucket into a vault—states remain exact across time, topology, and replay.

All figures from the canonical 50k-step run. Full ProofKit available under NDA.

1.11e-16
Energy Conservation (deltaH)
0.000
FSM Drift
0.911
RNN Baseline Drift
negative
Lyapunov Stability

Validation Artifacts

Validation Brief
1-Page Protocol Summary (PDF)
Proof Data
Canonical Run (50k steps)
Proof Viewer
Human-Readable Proof Display
Preprint
Research Paper (PDF)
Figure 1
Energy vs Time
Figure 2
Topology Morphing
Figure 3
Psi-Replay Verification
Comparison
First vs Canonical Run

Applications & Impact

Claims and Evidence

What We Prove

  • Energy conservation to machine precision (10^-16)
  • Zero accumulation drift over 50,000 steps
  • Negative Lyapunov exponent (stable dynamics)
  • Deterministic bit-exact replay (psi-error = 0)
  • Live topology morphing with invariant preservation

Baseline Comparison

  • RNN: 91.1% energy loss
  • LSTM: 87.3% energy loss
  • Transformer: 94.2% energy loss
  • FSM (ours): 0.0% energy loss
  • Improvement: infinite (exact conservation)

Request Access

Media & general: jason@invariant.pro

Direct: (469) 476-2122