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blackroad-operating-system/packs/research-lab/experiments/br_math/godel_gap.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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"""GödelGap potential scorer."""
from __future__ import annotations
from typing import Iterable
import numpy as np
def godel_gap(complexities: Iterable[float], evidences: Iterable[float], alpha: float = 1.0, beta: float = 1.0) -> float:
"""Compute \Phi_G = alpha * K - beta * I."""
k = np.sum(list(complexities))
i = np.sum(list(evidences))
return alpha * k - beta * i
__all__ = ["godel_gap"]