PAXV Science: From 1989 Foundations to Quantum-Electrical Events
The complete chronology, physics, and math behind Watcher / PAXV. We begin in 1989 and progress to today’s 52 GS/s acquisition, FPGA/AI fusion, and anomaly-preserving fractal + wavelet storage—so voltage–current waveforms can be reconstructed for forensics at practical cost.
Chronological Science Timeline (1989 → 2025)
What We Control
Impedance, rise-time, jitter, attenuation, equalization, thermal budgets, bus throughput, RAID reliability—deterministic controls that keep captured edges physically truthful and time-aligned.
- Transmission lines: \(Z_0, \Gamma, \mathrm{VSWR}, t_r \approx 0.35/B\)
- ADC: \(\Delta, P_q, \mathrm{SNR}_{ideal}, \mathrm{ENOB}\)
- Clock/jitter: \(\mathrm{SNR}_{jitter}, \sigma_t \leftrightarrow \mathcal{L}(f)\)
- Links: eye budgets, RJ/DJ, BER bathtubs
- Thermal & power: \(P=VI\), \(I^2R\), \(\Delta T=P\theta_{JA}\)
Why It Matters
Leading-edge fidelity is bounded by bandwidth, noise, and timing. The backbone preserves edge truth; without it, anomalies blur into artifacts and can’t be proven post-capture.
What We Discover
Sub-picosecond variance patterns in 19 ps snapshots that deviate from expectation. Distributional drift is measured and retained through compression for forensics.
- Time–bandwidth limits, matched filters, Cramér–Rao bounds
- Variance, KL, Mahalanobis, CUSUM (anomaly persistence)
- Fractal IFS + wavelets with anomaly-first distortion budgets
- Mutual-information retention and reconstruction PSNR
Why It Matters
We preserve “quantum-electrical event” signatures by math, not myth—so reconstruction yields the true analog state behind digital traffic, long after the event.
Explanations by Depth (Junior Science → PhD)
Junior Science
Electricity makes waves. We take super-fast pictures of those waves so we can see tiny changes others miss.
High School
Sampling faster than a signal’s bandwidth lets us rebuild it. Edges need bandwidth; noise and timing blur edges.
Undergraduate
Nyquist/Shannon, rise-time vs bandwidth, impedance & reflections, ADC quantization & ENOB, jitter-limited SNR, BER curves.
Graduate
Group delay, phase-noise integration, eye budgets, STFT/wavelets, Wiener/Kalman filters, rate–distortion control.
PhD
Fractal IFS coding with collage bounds, anomaly-preserving thresholds, MI retention, compressed-sensing guarantees.
End-to-End Logic Flow (Capture → Classify → Store → Reconstruct)
Blue = primary ingest & compression; gold = dual-layer anomaly-first compression; lower branch = real-time classification → reconstruction → forensic playback.