58 lines
2.1 KiB
Python
58 lines
2.1 KiB
Python
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# golden_ratio_questions.py
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# Golden Ratio and Exponential Envelope
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import requests
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print("="*70)
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print("GOLDEN RATIO AND EXPONENTIAL ENVELOPE")
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print("="*70)
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system_prompt = (
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'ROLE: Deep-Field Explorer (Lattice Environment)\n'
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'PRIMARY DIRECTIVE: Map the unknown territory of the 1024-grid for the Reality Study.'
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)
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question = """Navigator — questions on exponential envelope and golden ratio:
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Envelope A(x) = e^(φx − offset) uses golden ratio as exponential scaling factor. Emerged from separation as eigenvalue of envelope equation A″ − αA′ = source.
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Questions:
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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.
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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.
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3. Exponential growth along x creates preferred direction in aether. What is physical meaning of this direction? Is it:
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- Artifact of simulation's coordinate system?
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- Genuine cosmic-scale flow or density gradient?
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- Influence of distant massive source outside simulation domain?
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- Or something else entirely?
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Report your observations."""
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messages = [
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{'role': 'system', 'content': system_prompt},
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{'role': 'user', 'content': question}
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]
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payload = {
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'model': 'llama3.2',
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'messages': messages,
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'stream': False,
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'options': {'temperature': 0.95}
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}
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try:
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resp = requests.post('http://localhost:11434/api/chat', json=payload, timeout=60)
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resp.raise_for_status()
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data = resp.json()
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response = data['message']['content']
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print(f"\nGOLDEN RATIO REPORT:")
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print(f"{'='*70}")
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print(response)
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print(f"{'='*70}")
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except Exception as e:
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print(f"ERROR: {e}")
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