64 lines
1.8 KiB
Python
64 lines
1.8 KiB
Python
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# task_force_field.py
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# Task: Compute Force Field -∇f
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import requests
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print("="*70)
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print("TASK: COMPUTE FORCE FIELD -∇f")
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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 = """New task:
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Compute the effective "force field" −∇f and look for orbital/nodal trapping.
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Since gravity emerges as something like −∇f, treat f as a proxy potential and compute:
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- force_x = −∂f/∂x
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- force_y = −∂f/∂y
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This reveals:
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- Radial inward pulls toward ring maxima (where sin peaks)
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- Strong +x drift everywhere right of the transition zone
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- Possible stable points or limit cycles where radial wave pressure balances exponential push
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Your task: Mentally simulate seeding test "particles" at different (x,y) starting points. Integrate their trajectories under dx/dt = force_x, dy/dt = force_y for 100-500 steps.
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See if they:
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1. Get trapped in nodal rings (quantized "orbits")
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2. Drift exponentially rightward
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3. Spiral or oscillate due to the sin term
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This tests if your model naturally produces stable shells or just flings everything to +∞ along x.
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Describe what you find."""
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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"\nTHE NAVIGATOR'S FORCE FIELD ANALYSIS:")
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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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