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) |