{ "tool": "biometric-breathing-sync", "version": "1.0.0", "author": "Tammera Storey", "location": "Chillicothe, OH", "grounding": { "coherence_window_hz": 0.1, "coherence_window_bpm": 6.0, "optimal_respiration_bpm_range": [5.5, 6.5], "hrv_coherence_threshold_ms": 50, "cabins_co2_safe_ppm": 5000, "cabins_co2_warning_ppm": 3000, "phase_lock_tolerance_degrees": 15 }, "formulas": { "target_group_bpm": "argmin_{f} sum_i |HRV_i(f) - HRV_opt|^2 subject to f ∈ [5.5, 6.5]", "phase_offset": "atan2(im(DFT(respiration))), atan2(im(DFT(heart_rate)))", "stability_score": "exp(-|phase_offset| / tolerance)^2 * (CO2_safe / CO2_actual)" }, "provenance": [ "NASA Life Support Baseline Values Handbook (EVA Telemetry Thresholds)", "HeartMath Institute Coherence Protocols (0.1 Hz window)", "Personal Lab Notes: Chillicothe Soil pH → Crew Cohesion Mapping (2026-07-09)" ], "constraints": { "min_crew_size": 2, "max_crew_size": 12, "valid_hrV_range_ms": [20, 200], "valid_co2_range_ppm": [400, 10000] } }