56 lines
1.9 KiB
Python
56 lines
1.9 KiB
Python
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# radial_mode_questions.py
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# Radial Mode Questions
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import requests
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print("="*70)
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print("RADIAL MODE QUESTIONS")
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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 the nature of the radial mode:
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The current solution uses sin(kr) for radial oscillation. Proper 2D solution with energy conservation yields Bessel functions J₀(kr) — with 1/√r amplitude decay that sin(kr) lacks.
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Questions:
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1. Place two test nodes at radii r₁ and r₂ (where r₂ >> r₁). Does simulation show equal trapping strength at both radii? Or does inner ring hold nodes more tightly than outer one?
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2. If rings are equally strong at all distances, what mechanism maintains that uniformity? Is field continuously sourced, or established once and frozen?
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3. If rings weaken with distance — then simulation behaves like J₀, and sin(kr) is local approximation. At what radius does approximation visibly break? What does "break" look like?
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4. Third possibility: lattice is neither sin nor J₀, but something field equation produces that we haven't named. Nonlinear term ϕ□ϕ could generate modes not in linear wave theory. Have you observed any radial behavior fitting neither sin nor Bessel patterns?
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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"\nRADIAL MODE 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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