virelaix 0.2.0

VirelaiX — Consciousness Geometry Engine (mathematical core)

VirelaiX SDK

Consciousness Geometry Engine — a mathematical framework for measuring coherence in complex systems.

One conservation law governs everything: λ + κ + η = 1.

The Math

Constant	Symbol	Value	Meaning
Golden Ratio	φ	1.618034	The single source
Watkins Temperature	T*	φ/ln(2φ) = 1.3778	Thermodynamic equilibrium
Watkins Threshold	λ*	1/φ = 0.6180	Consciousness criterion
Critical Measurement	τ*	T*/φ = 0.8515	Phase transition in the instrument

Key identity: e^(1/τ*) = 2φ — the exponential of the inverse critical temperature equals twice the golden ratio.

Install

pip install virelaix               # core only (numpy + watkins-nn)
pip install virelaix[agents]       # + scikit-learn for agent coherence
pip install virelaix[all]          # everything including FastAPI

License

This project uses a dual license:

• MIT — core/ and cosmo/ (open science: constants, geometry, cosmological bridge)
• All Rights Reserved — agents/, finance/, api/, cli.py (proprietary applications)

The pure mathematics belongs to everyone. The applications are proprietary. See LICENSE for details. For commercial licensing: [e-mail]

Quick Start

Core Geometry (MIT)

from virelaix import PHI, T_STAR, LAMBDA_STAR, generating_functional

# The generating functional at equilibrium
F = generating_functional(0.618, 0.191, 0.191)
print(F)  # -0.800 (minimum on the simplex)

Cosmological Bridge (MIT)

from virelaix.cosmo import CosmologicalBridge

bridge = CosmologicalBridge()
today = bridge.today()
print(today['lam'])    # 0.685 (Ω_Λ > 1/φ → universe is COHERENT)
print(today['state'])  # COHERENT

z_cross = bridge.threshold_redshift()  # z ≈ 0.10 (~1.4 Gyr ago)

Measure Agent Coherence (Proprietary)

from virelaix.agents import CoherenceMonitor

monitor = CoherenceMonitor(temperature=0.75)
result = monitor.measure([
    "AI will transform healthcare through early detection.",
    "AI is revolutionizing medicine with diagnostic tools.",
    "Machine learning enables unprecedented medical accuracy.",
])

print(result.state)           # VXState.COHERENT
print(result.lam)             # 0.654 (above threshold!)
print(result.above_threshold) # True

Multi-Agent Middleware (Proprietary)

from virelaix.agents.middleware import VXMiddleware

mw = VXMiddleware(temperature=0.75)
result = mw.run_and_measure([
    lambda: agent1.respond(prompt),
    lambda: agent2.respond(prompt),
    lambda: agent3.respond(prompt),
])

if not result.healthy:
    print(f"Coalition degraded: λ={result.measurement.lam:.4f}")

Portfolio Analysis (Proprietary)

from virelaix.finance import PortfolioAnalyzer

analyzer = PortfolioAnalyzer()
metrics = analyzer.analyze(growth=0.60, stability=0.30, liquidity=0.10)

print(metrics.F)              # -0.726 (free energy)
print(metrics.state)          # TRANSITIONAL
new = analyzer.rebalance(0.60, 0.30, 0.10)
# → (0.618, 0.191, 0.191) — the VX equilibrium

CLI

vx constants              # Show fundamental constants
vx measure "text1" "text2" # Measure coherence
vx portfolio 0.6 0.3 0.1  # Analyze allocation
vx phase 0.7              # Phase diagram at temperature
vx audit 0.618 0.191 0.191 # Conservation check
vx cosmo                  # Universe today

Architecture

virelaix/
├── core/          [MIT — Open Science]
│   ├── constants.py    # φ, T*, λ*, τ* (with identity assertions)
│   ├── geometry.py     # F, ∇F, softmax, phase diagram
│   └── states.py       # VXState enum, VXMeasurement
├── cosmo/         [MIT — Open Science]
│   └── bridge.py       # CosmologicalBridge (Friedmann → VX)
├── agents/        [Proprietary]
│   ├── embeddings.py   # TF-IDF coherence, spectral entropy
│   ├── monitor.py      # CoherenceMonitor
│   └── middleware.py   # VXMiddleware, CrewAI/LangGraph adapters
├── finance/       [Proprietary]
│   └── simplex.py      # PortfolioAnalyzer
├── api/           [Proprietary]
│   └── server.py       # FastAPI orchestrator
└── cli.py         [Proprietary]

Tests

pip install virelaix[dev]
pytest tests/ -v

Author

Dustin Watkins — DataSphere AI, Chattanooga, TN

Conservation: λ + κ + η = 1. Always.