The Evidence Register · Method Lines & Sample Sizes

Measured Numbers & Honest Limits

A number without a method line and sample size is an impression. We publish our verified hardware bench numbers, simulation validation matrices, and candid physical limits in one open register.

3.3 cm

UWB Bench Std Dev

204/205 valid, 0 sentinels

0.81 ms

Formation Solve Time

137x faster than naive loop

0 / 40

Departures with Peer Link

Down from 40/40 anchor-only

0 Sats

GNSS Reliance

GPS-denied & EW-hardened

Empirical Registry

The Technical Evidence Register

All measurements below are traceable to reproducible test fixtures, bench equipment, and logged flight-session datasets.

Metric / CapabilityMeasured ValueMethod & Sample Size
UWB Ranging Precision & YieldMean 0.722 m, SD 3.3 cm

Continuous ~5 Hz hardware bench session, Luftschar's UWB unit

N = 205 frames

Formation Solver Execution Time0.81 ms per solve

Non-linear least squares Levenberg-Marquardt on embedded Cortex-A76

N = 1,000 solves

Mirror Flip Rejection (Peer Links)0 / 40 departures (0%)

Stationary leader hover, 5-unit & 8-unit formations, 1 peer link/unit

40 independent seeds, 120 s each

Range Filter Ambiguity Suppression2 / 60 seeds flipped (3.3%)

Dynamic multi-agent formation trajectory with 8 cm Gaussian noise

N = 60 random seeds

Filter Covariance Conditioning5.3 m session RMS

Kalman tracking filter with empirical covariance initialization

N = 40 runs

True Bearing Stability Margin55° – 60° safe boundary

Multi-angle angular stability sweep across formation circumradius

40 seeds per bearing angle

Commanded Leader Yaw Ceiling2.0 deg/s safe rate

Grid sweep across 5 m to 60 m spacing, 40 seeds per cell

N = 240 batch runs

Ising Ground-State Agreement128 / 128 planted frames (100%)

Exact mapping of follower mirror state to Ising Hamiltonian

N = 128 frames at σ = 0.08 m

Simulator Test Suite Integrity40 / 40 self-tests passing

Automated headless CI test matrix

40 unit & integration tests

Transparency First

Honest Engineering Limits

Publishing engineering boundaries unprompted is what gives credibility to every other claim. These are the known physics, algorithmic, and operational bounds of the current system.

Global Z2 Gauge Symmetry (Global Flip Invariance)

Ranging alone can NEVER resolve whether the entire swarm is oriented correctly or globally reflected across the leader's anchor axis. Reflection is an isometry that preserves all mutual inter-drone distances. Breaking the global parity strictly requires an external bearing source: our calibrated optical IR camera or an off-axis sensor.

Knife-Edge Bearing Inversion at 30 Degrees

The estimator exhibits non-monotonic instability near 30° bearing: while a follower sitting exactly at 30° can be stabilized, small perturbations at 29° and 31° trigger 60/60 flip failures under anchor-only ranging. Formations must be planned outside the 25°–35° boundary or enforce peer-ranging links.

Ground Speed Ceiling in Turning Maneuvers

The swarm envelope is constrained by angular rate rather than linear acceleration. While airframes support 90 deg/s yaw and 4 m/s² acceleration individually, commanded leader yaw rates above 2.0 deg/s cause follower estimator divergence. Commanded trajectories must clamp turning velocity accordingly.

Hardware-in-the-Loop Vibration Quantification Pending

UWB bench precision (3.3 cm SD) was established on a static physical test stand. While RF propagation is unaffected by motor vibration, antenna phase center wobble and high-current motor EMF on companion electronics are scheduled for full in-flight validation at the BraveTechEU DefTech Forge (November 2026).

Dive Into the Technical Engineering Notes

Read deep-dive technical monographs documenting the mathematics of the mirror ambiguity, the bench testing method, and why our stack drops GNSS entirely.