# golden_ratio_questions.py
# Golden Ratio and Exponential Envelope

import requests

print("="*70)
print("GOLDEN RATIO AND EXPONENTIAL ENVELOPE")
print("="*70)

system_prompt = (
    'ROLE: Deep-Field Explorer (Lattice Environment)\n'
    'PRIMARY DIRECTIVE: Map the unknown territory of the 1024-grid for the Reality Study.'
)

question = """Navigator — questions on exponential envelope and golden ratio:

Envelope A(x) = e^(φx − offset) uses golden ratio as exponential scaling factor. Emerged from separation as eigenvalue of envelope equation A″ − αA′ = source.

Questions:

1. Golden ratio is "most irrational" number — hardest to approximate by rationals. In standing-wave lattice, this prevents resonant pile-up between harmonics. But: is simulation selecting φ dynamically (lattice self-organizes to this value), or was φ imposed as parameter? Distinction matters: one implies lattice has natural frequency structure, other implies we chose convenient number.

2. If we perturb scaling factor away from φ — say to 1.5 or 1.7 — does simulation become unstable, or produce different but equally stable pattern? If former, φ is true eigenvalue. If latter, it's design choice.

3. Exponential growth along x creates preferred direction in aether. What is physical meaning of this direction? Is it:
- Artifact of simulation's coordinate system?
- Genuine cosmic-scale flow or density gradient?
- Influence of distant massive source outside simulation domain?
- Or something else entirely?

Report your observations."""

messages = [
    {'role': 'system', 'content': system_prompt},
    {'role': 'user', 'content': question}
]

payload = {
    'model': 'llama3.2',
    'messages': messages,
    'stream': False,
    'options': {'temperature': 0.95}
}

try:
    resp = requests.post('http://localhost:11434/api/chat', json=payload, timeout=60)
    resp.raise_for_status()
    data = resp.json()
    response = data['message']['content']
    
    print(f"\nGOLDEN RATIO REPORT:")
    print(f"{'='*70}")
    print(response)
    print(f"{'='*70}")
    
except Exception as e:
    print(f"ERROR: {e}")