🜏 Archimedes-Ω API v2.1

SU(2) · SL(3,ℤ) · W-State coherence interrogation agent

⭐ GitHub 📄 OpenAPI 3.0 ✅ v2.1

📡 Endpoints

POST/simulate/su2
SU(2) continuous coherence simulation with thermal noise
POST/simulate/sl3z
SL(3,ℤ) discrete coherence via Fibonacci anyon braiding
POST/simulate/wstate
W-state multipartite entanglement (2π/3 resonance)
POST/detect/peaks
Sliding-window peak detection with adaptive thresholding
POST/analyze
Full pipeline: simulate → detect → conclude
POST/analyze/teleportation-resource
W-state readiness & robustness assessment

🔑 Core Schemas

CoherenceResponse (all simulation endpoints)

{
  "phases":    [0, 0.0314, 0.0628, ...],   // radians
  "coherence": [0.98, 0.975, 0.97, ...]    // 0-1
}

TeleportationResponse

{
  "resource_type":       "W-State",
  "teleportation_ready": true,
  "robustness_score":    0.864,
  "has_2pi3_resonance": true,
  "status":              "W_STATE_CONFIRMED",
  "interpretation":      "Strong W-state signature detected...",
  "philosophical_note":  "A integridade do Todo..."
}

AnalysisResponse

{
  "id":         "a1b2c3d4",
  "timestamp":   "2026-04-04T03:00:00Z",
  "data_source": "simulated",
  "peaks":      [PeakInfo, ...],
  "conclusion": {
    "status":              "DISCRETE_LATTICE_CONFIRMED",
    "peaks_total":         3,
    "peaks_in_resonance":   2,
    "max_coherence":        0.987,
    "interpretation":      "...",
    "philosophical_note":   "..."
  }
}

🌀 SDKs — Polyglot Clients

Python
pip install archimedes-omega
REST + gRPC
TypeScript/JS
npm i archimedes-omega
ESM + CommonJS
Go
go get archimedes/omega
github.com/arkhe/archimedes
Rust
cargo add archimedes-omega
crates.io
PHP
composer require arkhe/archimedes
Packagist
C#
dotnet add Arkhe.Omega
NuGet

⚡ Quick Start

# REST
curl -X POST http://localhost:8080/simulate/su2 \
  -H 'Content-Type: application/json' \
  -d '{"theta_range":[0,6.283],"num_points":100}'

# Python client
from archimedes import ArchimedesClient
cli = ArchimedesClient()
result = cli.simulate_su2(num_points=500)
peaks = cli.detect_peaks(result.phases, result.coherence)
print(peaks)

🔬 Example: Full Teleportation Assessment

from archimedes import ArchimedesClient
cli = ArchimedesClient()

# Simulate W-state
data = cli.simulate_wstate(nodes=3, loss_probability=0.2)
# Assess teleportation readiness
assessment = cli.assess_teleportation(
    phases=data.phases,
    coherence=data.coherence,
    nodes=3
)
print(assessment.teleportation_ready)  # True if W-state confirmed
print(assessment.robustness_score)     # 0-1 robustness score

📊 Physical Constants

φ (Phi / Golden Ratio)     = 1.618033988749895
λ² (Lambda²)               = 2.618033988749895  (> φ = 0.618 threshold)
2π/3 (W-state resonance)   = 120°              (2.094395 rad)
Ressonâncias racionais: π/5, 2π/5, π/4, π/3, π/2