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resonance-engine/beast-build/task_time_evolution.py
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Python

# task_time_evolution.py
# Task: Time Evolution Toy
import requests
print("="*70)
print("TASK: TIME EVOLUTION TOY")
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 = """New task:
Time evolution toy — pretend f is initial condition for a 2D wave equation:
∂²ψ/∂t² = c²∇²ψ + nonlinear term inspired by your original ϕ□ϕ equation
Evolve a few dozen steps mentally and observe:
- Do the rings "breathe"?
- Does symmetry break along x?
- Do quasi-stable breathers/solitons form?
Describe what happens to the pattern over time."""
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"\nTHE NAVIGATOR'S TIME EVOLUTION:")
print(f"{'='*70}")
print(response)
print(f"{'='*70}")
except Exception as e:
print(f"ERROR: {e}")