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blackroad-operating-system/packs/research-lab/experiments/br_math/tro_control.py
Alexa Louise 0108860bff feat: Add Research Lab pack with paralleled math modules
Create comprehensive research-lab pack structure with mathematical
and quantum computing modules from blackroad-prism-console:

Math Modules:
- hilbert_core.py: Hilbert space symbolic reasoning
- collatz/: Distributed Collatz conjecture verification
- linmath/: Linear mathematics C library
- lucidia_math_forge/: Symbolic proof engine
- lucidia_math_lab/: Experimental mathematics

Quantum Modules:
- lucidia_quantum/: Quantum core
- quantum_engine/: Circuit simulation

Experiments:
- br_math/: Gödel gap, quantum experiments

Includes pack.yaml manifest and comprehensive README.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
2025-11-28 23:49:03 -06:00

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"""TrustResilience ODE controller."""
from __future__ import annotations
import numpy as np
def tro_step(t: float, state: np.ndarray, params: np.ndarray) -> np.ndarray:
"""One step of the trustresilience dynamics.
Parameters
----------
t: time (unused but included for ODE solver compatibility)
state: array ``[T, R, S, E, Jc, K]`` representing trust, resilience,
entropy, error, care current and kindness.
params: array ``[alpha, beta, gamma, eta, mu, nu, xi]`` of coefficients.
"""
T, R, S, E, Jc, K = state
alpha, beta, gamma, eta, mu, nu, xi = params
dT = alpha * K + gamma * Jc - beta * E - eta * S
dR = mu * Jc - nu * E - xi * np.gradient([S, S])[0] # crude \dot S estimate
return np.array([dT, dR])
__all__ = ["tro_step"]