PATENT PENDING | U.S. PROVISIONAL 64/133,052

GEOMnITY^°

CURVATURE GEOMETRY INTELLIGENCE™

Configure a synthetic operating environment, generate fresh sensor-style events, and watch the Geometry Intelligence Engine convert changing geometry and machine behavior into intervention-ready risk output.

GEOMETRY INTELLIGENCE TO THE nᵗʰ DEGREE.

Synthetic beta demonstration — not real-world validated yet

INTERACTIVE SIMULATION · 11B

Configure & run

Every run generates a fresh stochastic operating sequence. Choose a preset, enter a custom event count, or tune the advanced risk factors.

Public demo limit: 100,000 events per run.

ADVANCED PARAMETERS

Tune the operating environment

1.00× is the baseline model. Increase a factor to amplify that signal’s contribution to the generated operating data.

Curvature severity 1.00× Geometry change 1.00× Torsion 1.00× Vibration 1.00× Motor load 1.00× Position error 1.00× Timing error 1.00× Anomaly frequency 1.00× Safe-envelope threshold 0.68Lower = more sensitive intervention policy. Default 0.68 preserves the original demo thresholds.

Scenario: —Run seed: —New runs use a fresh seed unless replayed.

INPUT EVENTS—synthetic sensor records

PEAK RISK—highest observed R(t)

AVERAGE RISK—full simulation window

RUNTIME—generate + score + report

PEAK ACTION—recommended at peak risk

RISK SCORE OVER TIME

Unlike the original tiled replay, the 11B trace is generated from irregular anomaly episodes, correlated operating drift, and stochastic machine behavior.

GEOMETRY INTELLIGENCE ENGINE

The platform converts path geometry and live machine behavior into a predictive reliability decision.

κCurvaturehow sharply the path bends

gκGeometry Changehow bending changes

hκGeometry Accelerationabrupt bend transition

τTorsiontwist through the path

RRisk Enginefailure-risk score

nAdaptive Stateany dimension, state, or variable

R(t) = weighted blend of curvature, geometry change, geometry acceleration, torsion, motor load, vibration, position error, and timing error.\n\nDecision: compare R(t) against the configurable safe envelope → monitor, watch, soft intervention, or safe stop.

Plain English: change the operating environment above, then observe how geometry and machine-state interactions move risk through the decision envelope.

RISK STATE COUNTS

STATE	EVENTS	MEANING
normal	—	Inside expected envelope
watch	—	Risk rising; increase sampling/logging
elevated	—	Pre-failure indicators emerging
intervention	—	Outside envelope; safe stop/operator review

FIRST ELEVATED / INTERVENTION SIGNALS

MILESTONE	EVENT ID	RISK	ACTION
First elevated	—	—	—
First intervention	—	—	—

DATA GOING IN

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DECISION DATA COMING OUT

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CURVATURE GEOMETRY INTELLIGENCE™ · A GEOMNITY° PLATFORM · SYNTHETIC INTERACTIVE SANDBOX v11B

GEOMnITY°