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Constants and KPIs

The target numbers behind every formula in Master Equations Reference — what "good" actually looks like, quantified.


Master Thresholds

Constant Target value Meaning
DET transfer rate $\geq 92\%$ Energy transfer efficiency
$\sigma_{sync}$ $\geq 0.92$ Neuro-kinetic synchronization
$K_{wrist}$ (baseline) $\geq 0.85$ General wrist stiffness
$K_{wrist}$ (volley / DL) $\geq 0.95$ High wrist stiffness for reflex shots
GRF (serve) $2.3$–$2.5 \times BW$ Ground reaction force
Knee flexion (loading) $100°$–$120°$ Optimal knee bend angle
DSI (safe) $\geq 0.85$ Dynamic stability index
$\omega_{IR}$ $\approx 2{,}800°/s$ Internal rotation angular velocity
$\alpha_{IR}$ $\approx 112{,}000°/s^2$ Internal rotation angular acceleration
$\Delta t_{IR}$ $\approx 25\text{ms}$ Internal rotation time window
$\Delta t$ (reaction) $\leq 0.12\text{s}$ Neural reaction time
$\Delta t$ (DL) $\leq 0.15\text{s}$ Split-step to contact
$\Delta t$ (dwell) $\approx 4$–$5\text{ms}$ Ball-on-string dwell time

HRV Thresholds

Zone HRV change Action
Green Increased or at/above baseline Explosive training (VE, DET work)
Yellow −10% to −20% Technical training only
Red ≤ −20% Recovery only (yoga, fascial work)

P_error Thresholds

Zone P_error Action
Green < 15% Play freely
Yellow 15–40% Weigh the risk
Red > 40% Avoid — a "suicide shot"

Axis Tolerance (Body Tilt)

Situation Allowed $\Delta\theta$
Normal hit $\leq 5°$ (DSI ≥ 0.95)
Wide reach $\leq 10°$ (DSI ≥ 0.85)
Emergency save $\leq 20°$ (DSI ~0.40)

Volley Angle Tolerance

Type Target
Over-swing prevention Racket does not travel back past the shoulder plane
V-step 45° angled step
Face angle adjustment 5°–10°

Equipment Targets (DIT / Lead Tape)

Lead tape position Primary effect
12 o'clock (head) Maximum swingweight, more leverage
3 / 9 o'clock Torsional stability
Handle Balance shifted toward the hand

Grip Pressure by Shot (0–10 scale)

Shot Grip pressure
Serve 6–7 (firm)
Forehand 3–4 (loose)
Volley 3–4 (loose)
Slice 4–5 (medium)