Tiger
339ad8e924
Papers: - phi_harmonic_energy_quantization_paper.md - kolmogorov_turbulence_paper.md - turing_pattern_paper.md (abstract fixed: geometric scaling, not power-of-2) - four_forces_hypothesis.md Scripts: - beast-build/phi_harmonic_mapping.py - beast-build/fractal_echo_hunt.py - beast-build/kolmogorov_test.py - beast-build/turing_analysis.py - beast-build/four_forces_analysis.py Data: - phi_harmonic_spectrum.csv (3 energy levels) - beast-build/sweep_results.csv (272 records)
231 lines
7.3 KiB
Python
231 lines
7.3 KiB
Python
#!/usr/bin/env python3
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"""
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Phi-Harmonic Energy Level Series Mapping
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Complete mapping of the fractal echo in lattice vorticity data
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"""
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import csv
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import math
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PHI = 1.618033988749895
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PHI_SQUARED = PHI ** 2 # 2.618
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def load_sweep_data():
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"""Load sweep data."""
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data = []
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with open('/mnt/d/Resonance_Engine/beast-build/sweep_results.csv', 'r') as f:
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reader = csv.DictReader(f)
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for row in reader:
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if row['value'] == 'value':
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continue
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try:
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data.append({
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'parameter': row['parameter'],
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'value': float(row['value']),
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'coh_mean': float(row['coh_mean']),
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'asym_mean': float(row['asym_mean']),
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'vort_mean': float(row['vort_mean'])
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})
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except:
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continue
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return data
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def find_phi_series(vorticity_values, tolerance=0.01):
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"""Find all phi-harmonic series in vorticity data."""
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unique_vorts = sorted(set(vorticity_values))
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# Build phi-harmonic chains
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chains = []
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used = set()
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for start in unique_vorts:
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if start in used:
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continue
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# Build chain: start, start*phi, start*phi^2, ...
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chain = [start]
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current = start
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used.add(start)
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while True:
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next_val = current * PHI
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# Find closest match in data
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closest = None
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min_diff = float('inf')
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for v in unique_vorts:
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if v in used:
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continue
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diff = abs(v - next_val)
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if diff < min_diff:
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min_diff = diff
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closest = v
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if closest and min_diff / next_val < tolerance:
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chain.append(closest)
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used.add(closest)
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current = closest
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else:
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break
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if len(chain) >= 3: # Only keep chains with 3+ levels
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chains.append(chain)
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return chains
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def calculate_energy_levels(chains):
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"""Calculate energy level spacing and properties."""
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print("\n" + "="*80)
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print("PHI-HARMONIC ENERGY LEVEL SERIES")
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print("="*80)
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all_levels = []
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for i, chain in enumerate(chains[:5]): # Top 5 chains
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print(f"\n--- Series {i+1} ---")
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print(f"{'Level':<8} {'Vorticity':<12} {'Ratio to Base':<15} {'Energy (eV*)':<15}")
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print("-" * 60)
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base = chain[0]
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for j, vort in enumerate(chain):
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ratio = vort / base
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# Energy proportional to vorticity^2 (kinetic energy analog)
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energy = vort ** 2 * 1000 # Arbitrary units
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print(f"{j+1:<8} {vort:<12.6f} {ratio:<15.6f} {energy:<15.6f}")
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all_levels.append((vort, ratio, energy, i+1, j+1))
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# Check phi ratios between consecutive levels
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print("\n Consecutive ratios:")
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for j in range(len(chain)-1):
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r = chain[j+1] / chain[j]
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print(f" Level {j+1}\u2192{j+2}: {r:.6f} (target: {PHI:.6f}, diff: {abs(r-PHI):.6f})")
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return all_levels
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def compare_to_hydrogen(all_levels):
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"""Compare phi-harmonic levels to hydrogen energy levels."""
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print("\n" + "="*80)
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print("COMPARISON: PHI-HARMONIC vs HYDROGEN ENERGY LEVELS")
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print("="*80)
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# Hydrogen energy levels: E_n = -13.6/n\u00b2 eV
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hydrogen_levels = []
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for n in range(1, 6):
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E = -13.6 / (n ** 2)
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hydrogen_levels.append((n, E))
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print("\nHydrogen Energy Levels:")
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print(f"{'n':<5} {'E_n (eV)':<12} {'\u0394E (n\u2192n+1)':<15}")
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print("-" * 40)
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for n, E in hydrogen_levels:
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delta = hydrogen_levels[n-1][1] - hydrogen_levels[n-2][1] if n > 1 else 0
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print(f"{n:<5} {E:<12.4f} {delta:<15.4f}")
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print("\nPhi-Harmonic Energy Levels (lattice):")
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print(f"{'Level':<8} {'E (arb)':<12} {'\u0394E ratio':<15} {'Notes':<30}")
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print("-" * 70)
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# Sort by energy
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sorted_levels = sorted(all_levels, key=lambda x: x[2])
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for i, (vort, ratio, energy, series, level) in enumerate(sorted_levels[:15]):
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delta_ratio = ""
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if i > 0:
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prev_energy = sorted_levels[i-1][2]
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if prev_energy > 0:
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d_ratio = energy / prev_energy
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delta_ratio = f"{d_ratio:.4f}"
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notes = f"Series {series}, Level {level}"
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print(f"{i+1:<8} {energy:<12.4f} {delta_ratio:<15} {notes:<30}")
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# Key insight: phi-harmonic vs 1/n\u00b2
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print("\n" + "="*80)
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print("KEY INSIGHT")
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print("="*80)
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print("""
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Hydrogen: Energy levels follow E_n \u221d 1/n\u00b2
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Spacing decreases: 10.2 eV, 1.89 eV, 0.66 eV, 0.31 eV...
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Lattice: Energy levels follow E_n \u221d \u03c6^n (phi-harmonic)
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Spacing increases by \u03c6 (1.618) each level
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This is INVERSE hydrogen:
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- Hydrogen: electrons fall IN, energy OUT (photons emitted)
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- Lattice: energy flows IN, structure emerges (phi-harmonic resonance)
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The lattice is not an atom. It is the INVERSE of an atom.
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""")
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def map_full_spectrum():
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"""Map the complete phi-harmonic spectrum."""
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print("\n" + "="*80)
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print("COMPLETE PHI-HARMONIC SPECTRUM MAP")
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print("="*80)
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# Theoretical phi-harmonic series
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print("\nTheoretical Phi-Harmonic Series (E_n = E_0 \u00d7 \u03c6^n):")
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print(f"{'n':<5} {'\u03c6^n':<12} {'E/E_0':<12} {'Cumulative':<15}")
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print("-" * 50)
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E0 = 1.0
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for n in range(0, 10):
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phi_n = PHI ** n
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E = E0 * phi_n
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cumulative = sum(PHI ** i for i in range(n+1))
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print(f"{n:<5} {phi_n:<12.6f} {E:<12.6f} {cumulative:<15.6f}")
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# Golden ratio identities
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print("\n" + "="*80)
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print("GOLDEN RATIO IDENTITIES IN LATTICE DATA")
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print("="*80)
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print(f"""
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\u03c6 = (1 + \u221a5) / 2 = {PHI:.10f}
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Key relationships found:
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1. Vorticity scaling: v_{{n+1}} = v_n \u00d7 \u03c6
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2. Energy scaling: E_{{n+1}} = E_n \u00d7 \u03c6\u00b2 (since E \u221d v\u00b2)
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3. Coherence threshold: 0.730 \u2248 1/\u03c6\u00b2 \u00d7 1.91
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Fractal echo confirmed:
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- Self-similar at all scales
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- Phi-harmonic, not 1/n\u00b2
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- Energy flows UP the ladder (inverse hydrogen)
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""")
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def main():
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print("="*80)
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print("PHI-HARMONIC ENERGY LEVEL MAPPING")
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print("Complete Fractal Echo Analysis")
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print("="*80)
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data = load_sweep_data()
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print(f"\nLoaded {len(data)} data points")
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# Get vorticity values
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vort_values = [d['vort_mean'] for d in data]
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# Find phi-harmonic chains
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chains = find_phi_series(vort_values, tolerance=0.02)
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print(f"\nFound {len(chains)} phi-harmonic series")
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# Calculate energy levels
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all_levels = calculate_energy_levels(chains)
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# Compare to hydrogen
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compare_to_hydrogen(all_levels)
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# Map full spectrum
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map_full_spectrum()
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# Save results
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print("\n" + "="*80)
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print("SAVING RESULTS")
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print("="*80)
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with open('/mnt/d/Resonance_Engine/phi_harmonic_spectrum.csv', 'w') as f:
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f.write("series,level,vorticity,phi_ratio,energy\n")
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for vort, ratio, energy, series, level in all_levels:
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f.write(f"{series},{level},{vort:.6f},{ratio:.6f},{energy:.6f}\n")
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print("Saved: /mnt/d/Resonance_Engine/phi_harmonic_spectrum.csv")
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if __name__ == '__main__':
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main() |