Simulation Validated Updated: 2026-01-27

Wireless Timing,
Near the Physics Limit.

Sub-picosecond wireless synchronization through chronometric interferometry. Validated in E1 LoS simulation @ 5.8 GHz, 30 dB SNR, 2 ms integration.

2.17 fs Theoretical Limit (CRLB) Physics ceiling @ 5.8 GHz

≈2.7 fs E1 LoS Simulation Estimator within ~1.2× of CRLB

≈69× PTP Improvement Synthetic A/B comparison

See the Physics Evidence & Conditions

Commercial relevance: 6G JCAS networks, industrial TSN, and distributed sensing demand picosecond synchronization. Current wireless solutions (GPS, PTP) degrade indoors; fiber solutions (for example, White Rabbit) can cost tens of thousands per node. We are building toward fiber-class timing over RF with evidence-driven milestones.

This Is

✓ Physics-bounded timing estimator (CRLB within ~1.2×)
✓ Reproducible simulation pipeline (E1–E16)
✓ Failure-mode mapping for LoS/multipath regimes
✓ Patent-pending core innovations

Not Yet

○ Hardware loopback validated (Tier 1)
○ Over-the-air RF demonstrated (Tier 2)
○ Multipath-robust production system
○ Shipping timing module

Proof, Not Promises

Every claim paired with conditions, evidence path, and date

Theoretical Bound 2026-01-27

2.17 fs

E1 CRLB Timing Precision

Conditions: 5.8 GHz • 30 dB SNR • 2 ms • 80k samples

Evidence: results/snapshots/e1_investor_demo.json

Reproduce: python scripts/run_experiment.py e1 --band 5.8GHz --snr-db 30 ...

Simulation Result 2026-01-27

≈2.7 fs

E1 LoS Timing RMSE

Conditions: 5.8 GHz • 30 dB SNR • 2 ms • LoS channel

Evidence: results/snapshots/e1_investor_demo.json

Gap to CRLB: ~1.2× (estimator efficiency)

Synthetic Comparison 2026-01-27

≈69×

PTP Interop Improvement

Conditions: Synthetic A/B • 600 s • 60 samples

Evidence: ptp_interop_results/investor_demo_plot_data.json

Caveat: Synthetic comparison using bridge hints; real PTP hardware pending.

Validation 2026-01-27

604 passed

Fast Test Suite

Conditions: pytest -m "not slow"

Evidence: results/investor_demo/fast_tests_output.txt

✓ 0 failed, 39 skipped

Visual Proof

Interactive demonstrations of the core physics

Interactive Beat Note Visualizer

E1 LoS Simulation

What this proves: Chronometric interferometry converts tiny time delays into measurable phase shifts. At 5.8 GHz, a 50 ps delay creates ~1000° of phase rotation in the beat note—amplifying sub-picosecond timing into detectable signals.

Signal 1 (reference carrier)

Signal 2 (delayed carrier)

Beat note (interference pattern φ)

Jitter band (±σ from noise)

LIVE SIM MODE (E1 LoS)

System Precision σ ≈ 2.7 fs (sim)

Wireless timing that approaches fiber precision. Compare jitter bands across technologies.

Signal Delay (Distance) 50 ps

0 ps ≈ 15 mm light travel 200 ps

Phase Shift (φ): —

Phase Noise (σφ): —

Distance Noise (σd): —

Status: SIMULATION

Figure A: Parameter Sweep Validation

What this proves: Timing precision scales predictably with SNR and integration time, matching CRLB theory.

τ RMSE heatmap showing precision vs SNR and duration

Left (A1): τ RMSE vs Duration/SNR. Lower is better (darker). Right (A2): 2σ coverage probability. Yellow indicates >95% of estimates within bounds.

Figure B: Hardware Sensitivity Analysis

What this proves: System identifies hardware impairment thresholds before they degrade timing.

Sensitivity sweeps for aperture jitter and DC offset

Left (B1): Aperture jitter tolerance. Right (B2): DC offset sensitivity. Both show sub-picosecond precision holds within practical hardware limits.

Why This Wins

Physics-bounded advantage + timing ecosystem integration

Physics-Bounded Moat

The Cramér-Rao Lower Bound sets a fundamental limit on timing precision. Our estimator achieves ~1.2× of this limit—there's no "better algorithm" to find.

~1.2× CRLB Estimator efficiency

Further algorithmic gains are bounded by the CRLB; the remaining risk is hardware and channel conditions.

Timing Ecosystem Integration

We don't replace existing timing infrastructure—we augment it. PTP bridge hints, GNSS-disciplined references, and TSN compatibility mean drop-in enhancement.

~69× PTP jitter reduction

Designed to augment existing timing stacks without replacing them.

Defensibility Stack

Patents: Core chronometric interferometry methods (pending)
Experimental barrier: Validation requires RF + signal processing expertise
First-mover: Early lead in wireless femtosecond timing; defensibility strengthens with hardware validation
Network effects: Performance improves with deployment density

Competitive Landscape

GPS ~1 ns Satellite RF

PTP ~100 ns Ethernet

White Rabbit ~10 ps Fiber

Driftlock Choir (E1 LoS sim) ~2.7 fs (sim) Wireless (sim)

Simulation indicates orders-of-magnitude resolution improvement; hardware validation is the next gate.

Plan + Ask

$1.2M pre-seed to hardware validation in 90 days

Capital Ask

$1.2M

Pre-seed for hardware validation

Use of Funds

$450k Reference-grade timing bench + disciplined clocks
$350k Real-time beat-note pipeline (FPGA/SBC)
$250k PTP/TSN interoperability + pilot integration
$150k Compliance, audit, contingency

90-Day Milestones

Hardware Loopback Shared reference, traceable measurements, stable beat-note chain

Short-Range RF Controlled LoS OTA with reproducible timing estimates

Impairment Mapping Stress tests, failure modes, "refuse to claim" gates

Exit Criteria

Measurable thresholds that must be met:

□

Loopback RMSE ≤ 10 ps Against independent reference (traceable)

□

PTP bridge ≥ 10× jitter reduction Controlled A/B harness

□

Reproducible artifacts scripts/investor_demo.py produces clean summary on demand

No milestone counts without evidence. Every claim traceable to command + snapshot + threshold.

Investment thesis: The estimator behaves near the CRLB in reproducible simulation, and the next risk is hardware. This ask funds falsifiable milestones and traceable artifacts toward RF validation.

Technical Deep-Dive: How Chronometric Interferometry Works

Signal Generation

Two RF signals with precise frequency offset (Δf) transmitted simultaneously.

Beat Note Formation

Signals interfere at receiver, creating low-frequency beat note whose phase encodes time-of-flight.

Phase Extraction

Advanced signal processing extracts beat note phase with extraordinary precision.

Timing Calculation

Precision follows: σ_τ = σ_φ / (2π · f_carrier)

τ = φ_measured / (2π · f_carrier)

We measure the phase of a derived interference pattern, which encodes carrier-referenced timing information at rates amenable to digital processing.

Understanding Femtosecond Scale

Distance: In 2.17 fs, light travels ~0.65 μm

RF Phase: At 5.8 GHz, 1 fs ≈ 0.036° phase shift

Compute: Below a single CPU clock tick—we measure phase, not time