🎮 Idempotent Game AI: 10,000+ Swarm Arena & Zero-GC Physics

🎮 3D Multi-Agent Swarm Arena // Zero-GC In-Situ Game AI (IdemNPC)

High-density autonomous swarm simulation (10,000+ agents). Benchmarks in-situ idempotent involution compaction (<20 µs, 0 B GC) vs traditional game engine dynamic list removals (Roblox Luau, Unity C#, UE5).

USPTO 64/148,668 USPTO 64/152,276 60 FPS Locked

🎯 Swarm & Engine Controls

NPC Sürü Yoğunluğu

Bellek & İşlem Motoru

Uzamsal Hacim & Çarpışma IdemSpatial O(N)

İdempotent manifold izdüşümü ile 0 GC ve 60 FPS'te akıcı 3D hacim.

Oyun Motoru Kıyas Profili

Taktik Sürü Davranışı

Sürü Hızı 5.5 m/s

🎯 Bomba Kısayolu:

3D zeminde farenin ORTA TUŞU (Tekerlek) veya Shift + Sol Tık ile tıklayarak istediğiniz noktaya bomba bırakabilirsiniz.

Sol tık: Döndür | Sağ tık: Kaydır | Tekerlek: Zoom

IdemNPC In-Situ (0 B GC)

AKICI (60 FPS)

2,500 / 2,500 ALIVE

💣 Bomba Kontrolü: Farenin ORTA TUŞUNA (Tekerlek) veya Shift + Sol Tık ile tıklayın! Sol Tık: 3D Döndür

📊 Telemetry & Oscilloscope

■ IdemNPC: 16.6 ms ■ Classic: 16.6 ms

Idempotent Compaction

In-Situ 2-Cycle Involution

18 µs

Classic Engine Freeze

Roblox Luau Array Shift

78.4 ms

Latency Speedup

Real-Time Advantage

4,355x

GC Heap Allocation

Garbage Collector Load

4,280 KB vs 0 B

Dropped Frames

Visual Stutter

0 Frames (Locked 60)

🕹️ Cross-Engine Zero-GC Performance Telemetry (UE5 · Unity · Roblox Luau)

Comparing IdemNPC In-Situ 2-Cycle Involution vs traditional engine array deletion methods (TArray::RemoveAt, List<T>.RemoveAt, table.remove) across 10,000 to 100,000 active agents.

EPIC GAMES // UNREAL ENGINE 5 0 B GC Spike

UE5 Mass Entity (C++20)

Native SIMD & In-Situ Pointer Invariance. Zero dynamic reallocation during mass casualty compaction.

IdemNPC Tick: 0.38 ms Classic TArray: 3.42 ms (9.0x slower)

UNITY TECHNOLOGIES 0 B GC Spike

Unity Burst DOTS (C#)

IJobParallelFor & NativeArray Zero-GC. Completely eliminates Managed Mono/IL2CPP Garbage Collection freezes.

IdemNPC Burst: 0.44 ms Classic List: 5.20 ms (11.8x slower)

ROBLOX CORPORATION 0 B GC Spike

Roblox Typed Luau (--!strict)

In-situ table swap compaction. Eliminates catastrophic 80-120 ms Luau script thread GC freezes.

IdemNPC Luau: 0.82 ms table.remove: 78.4 ms (95x slower)

📊 10,000 NPC AoE Detonation Benchmark (500-2,000 Casualties)

Engine Runtime	Traditional Method	Classic Latency & GC	IdemNPC In-Situ (Ours)	Framerate Impact
Unreal Engine 5.4	TArray::RemoveAt(Index)	3.42 ms (+1.1 MB realloc)	0.38 ms (0 Bytes GC)	Locked 60 FPS (0 Stutter)
Unity 2023 LTS	List<T>.RemoveAt()	5.20 ms (+45 ms GC pause)	0.44 ms (0 Bytes GC)	Locked 60 FPS (0 Stutter)
Roblox Luau	table.remove(t, i)	78.4 ms (GC Freeze / Hitch)	0.82 ms (0 Bytes GC)	Locked 60 FPS (0 Stutter)

🛡️ Official Intellectual Property & Academic Citations

Formal United States Patent Applications and open-access peer-reviewed scientific preprints covering the idempotent game AI innovations.

USPTO 64/152,276

IdemSpatial: Deterministic O(N) Spatial Partitioning

"Deterministic O(N) In-Situ Spatial Partitioning and Volume-Preserving Swarm Dynamics via Idempotent Involutions with Zero Dynamic Allocation"

Preprint DOI: 10.13140/RG.2.2.23188.67209

USPTO 64/148,668

Idempotent Permutation Foundations

"Idempotent Permutations, In-Situ Algebraic Involutions, and Zero-Copy Computational Topology for Real-Time Virtual Environments"

Inventor: Dr. A. Emre CETIN · Patent Pending (Conf. No. 5890)