RGC v0.2: 49-Core Logistic Substrate Characterization Snapshot (475k frames) — Arty A7-100T

**RGC v0.2: Verified 49-Core Logistic Substrate on Arty A7-100T — Characterization Snapshot (475,611 frames)** **Summary** This dataset contains the first extended characterization run of a 49-core synchronous logistic-map processor (RGC v0.2) implemented on a Digilent Arty A7-100T FPGA board. The run achieved **N = 475,611 frames** over **~18.88 hours** of continuous operation with perfect Δn = 49 stability. **No claim is made that these data support any specific prediction of the Tau Universe framework.** This is a pure substrate verification snapshot intended to document hardware behavior ahead of pre-registered τ-imprint testing (v2). **Key Results** • Exact Δn = 49 stability (σ = 0) across all 475,610 inter-readout intervals. • Canonical logistic-map bifurcation structure reproduced across the 49-core r-parameter sweep, including period-doubling cascade, period-3 window (Core 32), period-5/6 windows, and chaos at r = 4.0. • Fixed-point arithmetic precision floor characterized at ~2⁻²³ after Q-format correction. • UART telemetry at 230400 baud with low jitter and zero packet gaps >1 s. **Files** - `logistic_20260519_145447.csv` — primary telemetry (timestamp, elapsed_sec, core_id, x_norm, x_raw24, n, delta_n) - `rgc_session_20260519_145447.log` — raw serial capture - `bifurcation_heatmap.png` — per-core x-distribution histogram - `delta_n_health.png` — stability plot - `core_trajectories.png` — representative core time series - `RGC_v0.2_Engineering_note_20260521.md` — this document **Relation to Tau Universe Framework** This work establishes a verified logistic resonance substrate as described conceptually in: - v4.0 Mathematical Substrate (10.5281/zenodo.19420406) - Tav Topology Foundations (10.5281/zenodo.18047768) Falsifiable τ-imprint (k/7 family) tests will be performed on a fresh post-upload capture under pre-registered protocol v2. **Limitations** This is a snapshot (475k frames). A full ≥1M-frame run is planned for tomorrow and will be released as v1.1. **Pre-registration** Future τ-imprint analysis will be referenced by git commit SHA and linked to the pre-registration test plan (10.5281/zenodo.18155027). **Keywords** RGC v0.2, logistic map, FPGA, bifurcation diagram, period-3 window, Tau Universe, Tav topology, hardware substrate verification, Arty A7-100T **License** CC BY 4.0 **Version** 1.0 — Snapshot (20 May 2026)