✈️ Cinématique de vol (Minecraft 26.2)

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📋 Technical Infobox

Specification	Technical Details
System Architecture	Server-Authoritative Abilities Pipeline + Permille Multiplier
Vanilla Baseline Speed	$0.05\text{ blocks/tick}$ ($1.0\text{ blocks/second}$ base flying speed)
Controlling GameRules	`vo_creative_fly_speed`, `vo_spectator_fly_speed`
Unit Scale	Permille ($1000 = 1.0\times$ vanilla, $2500 = 2.5\times$, $10000 = 10.0\times$)
Epsilon Drift Guard	$\Delta \le 10^{-6}\text{ F}$ (Prevents packet spam on steady ticks)
Target Minecraft Version	`26.2`

📐 Mathematical Formulation

1. Flying Speed Multiplier Equation

The target flight speed $V_{\text{fly}$ is derived from the configured permille value $P$:

$$V_{\text{fly} = 0.05 \times \frac{P}{1000.0}$$

Where:

$P = 1000 \implies V_{\text{fly} = 0.05$ (Vanilla baseline: $1.0\times$)
$P = 2000 \implies V_{\text{fly} = 0.10$ ($2.0\times$ speed)
$P = 5000 \implies V_{\text{fly} = 0.25$ ($5.0\times$ speed)
$P = 20000 \implies V_{\text{fly} = 1.00$ ($20.0\times$ speed)

2. Zero-Packet Network Epsilon Guard

To eliminate network packet spam and bandwidth waste during flight: $$\Delta = |V_{\text{current} - V_{\text{fly}|$$ Network synchronization packet ClientboundPlayerAbilitiesPacket is dispatched if and only if: $$\Delta > 10^{-6}\text{ F}$$

java

if (Math.abs(abilities.getFlyingSpeed() - targetSpeed) > 1e-6F) {
    abilities.setFlyingSpeed(targetSpeed);
    player.onUpdateAbilities();
}

🎮 Gamemode State Separation

Gamemode	Controlling GameRule	Default Value	Notes
Creative Mode	`vo_creative_fly_speed`	`1000`	Applied strictly when `gameMode.isCreative()` is true.
Spectator Mode	`vo_spectator_fly_speed`	`1000`	Applied strictly when `gameMode.isSpectator()` is true.
Survival / Adventure	None	N/A	Untouched; retains vanilla gravity and movement constraints.

✈️ Cinématique de vol (Minecraft 26.2) ​

📋 Technical Infobox ​

📐 Mathematical Formulation ​

1. Flying Speed Multiplier Equation ​

2. Zero-Packet Network Epsilon Guard ​

🎮 Gamemode State Separation ​