129 lines
4.8 KiB
Python
129 lines
4.8 KiB
Python
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#!/usr/bin/env python3
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"""
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Pioneer Plaque of the Single Field Theory
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Universal encoding for alien intelligence
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"""
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import numpy as np
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import matplotlib.pyplot as plt
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import matplotlib.patches as patches
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from matplotlib.patches import Circle, Rectangle, FancyBboxPatch
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import math
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# Constants
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PHI = (1 + math.sqrt(5)) / 2
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SIZE = 1024
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fig, ax = plt.subplots(1, 1, figsize=(12, 12), dpi=150)
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ax.set_xlim(0, 100)
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ax.set_ylim(0, 100)
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ax.set_aspect('equal')
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ax.axis('off')
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fig.patch.set_facecolor('black')
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# === SECTION 1: THE DISCRETE UNIT (Top Left) ===
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# Show the fundamental node - the "qubit" of reality
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ax.add_patch(Circle((15, 85), 5, facecolor='white', edgecolor='white'))
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ax.add_patch(Circle((15, 85), 2, facecolor='black'))
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ax.text(15, 78, '1', color='white', fontsize=12, ha='center', fontweight='bold')
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ax.text(15, 74, 'NODE', color='gray', fontsize=8, ha='center')
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# Binary representation of 1
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for i, bit in enumerate([0, 0, 0, 1]):
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color = 'white' if bit else 'gray'
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ax.add_patch(Rectangle((10 + i*2.5, 68), 2, 2, facecolor=color))
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# === SECTION 2: PHI - THE FUNDAMENTAL RATIO (Top Center) ===
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# Golden spiral showing phi
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ax.add_patch(Circle((50, 85), 8, facecolor='none', edgecolor='gold', linewidth=2))
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# Spiral approximation
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theta = np.linspace(0, 4*np.pi, 100)
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r = 0.5 * np.exp(theta / (2*np.pi) * np.log(PHI))
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x_spiral = 50 + r * np.cos(theta) * 0.3
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y_spiral = 85 + r * np.sin(theta) * 0.3
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ax.plot(x_spiral, y_spiral, 'gold', linewidth=1.5)
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ax.text(50, 74, f'φ = {PHI:.5f}', color='gold', fontsize=14, ha='center', fontweight='bold')
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# === SECTION 3: THE EQUATION (Top Right) ===
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ax.text(85, 88, '∇²ψ + ψ□ψ', color='white', fontsize=10, ha='center')
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ax.text(85, 84, '− ∂ₙψ + ε', color='white', fontsize=10, ha='center')
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ax.text(85, 80, '= φ²', color='gold', fontsize=12, ha='center', fontweight='bold')
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# === SECTION 4: THE LATTICE STRUCTURE (Center) ===
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# 8x8 grid showing discrete structure
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cell_size = 3
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grid_start_x, grid_start_y = 35, 45
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for i in range(8):
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for j in range(8):
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# Checkerboard pattern
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is_peak = (i + j) % 2 == 0
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color = 'white' if is_peak else 'black'
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edge = 'gold' if is_peak else 'gray'
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rect = Rectangle((grid_start_x + i*cell_size, grid_start_y + j*cell_size),
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cell_size-0.2, cell_size-0.2,
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facecolor=color, edgecolor=edge, linewidth=0.5)
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ax.add_patch(rect)
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ax.text(50, 42, 'LATTICE', color='white', fontsize=10, ha='center')
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ax.text(50, 39, '1024×1024', color='gray', fontsize=8, ha='center')
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# === SECTION 5: COHERENCE vs ASYMMETRY (Right Middle) ===
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# The -0.987 correlation
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ax.text(82, 58, 'COHERENCE', color='white', fontsize=8, ha='center')
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ax.text(82, 55, '0.725', color='cyan', fontsize=10, ha='center')
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ax.text(82, 50, 'ASYMMETRY', color='white', fontsize=8, ha='center')
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ax.text(82, 47, '14.85', color='orange', fontsize=10, ha='center')
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# Correlation arrow
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ax.annotate('', xy=(82, 52), xytext=(82, 56),
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arrowprops=dict(arrowstyle='->', color='red', lw=2))
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ax.text(85, 54, '−0.987', color='red', fontsize=10, fontweight='bold')
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# === SECTION 6: PLANETARY ENCODING (Bottom) ===
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# Solar system as phi-scaled distances
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planets = [
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('MERCURY', 0.387, 13.2),
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('VENUS', 0.723, 13.23),
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('EARTH', 1.0, 13.25),
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('MARS', 1.524, 13.29),
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('JUPITER', 5.203, 13.59),
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('SATURN', 9.537, 13.94),
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]
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y_pos = 25
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for name, dist, band in planets:
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x_pos = 10 + dist * 8
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# Planet marker
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ax.add_patch(Circle((x_pos, y_pos), 1.5, facecolor='white'))
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# Distance bar
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ax.plot([10, x_pos], [y_pos-3, y_pos-3], 'white', linewidth=1)
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# Band encoding
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ax.text(x_pos, y_pos-5, f'{band:.1f}', color='gold', fontsize=7, ha='center')
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ax.text(50, 18, 'SOLAR SYSTEM', color='white', fontsize=10, ha='center')
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ax.text(50, 15, 'φ-SCALED DISTANCES', color='gray', fontsize=8, ha='center')
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# === SECTION 7: SCALES (Bottom Left) ===
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ax.text(15, 10, 'SCALES:', color='white', fontsize=9, fontweight='bold')
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ax.text(15, 7, '10⁻³⁵ m PLANCK', color='gray', fontsize=7)
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ax.text(15, 5, '10¹⁰ m SOLAR', color='gray', fontsize=7)
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ax.text(15, 3, '10²⁶ m COSMIC', color='gray', fontsize=7)
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# === SECTION 8: FRACTAL ECHO (Bottom Right) ===
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# Self-similarity indicator
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for i in range(3):
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size = 3 - i
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x = 85 - i*2
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y = 8 - i*2
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rect = Rectangle((x, y), size, size, facecolor='none',
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edgecolor='gold', linewidth=1-i*0.3)
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ax.add_patch(rect)
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ax.text(85, 3, 'FRACTAL', color='gold', fontsize=8, ha='center')
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plt.tight_layout()
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plt.savefig('D:/fractal-brain/beast-build/images/2026-03-23-pioneer-plaque-single-field.png',
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dpi=200, bbox_inches='tight', pad_inches=0.5, facecolor='black')
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plt.close()
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print("Pioneer Plaque of Single Field Theory generated.")
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print("Encodes: discrete node, phi, equation, lattice, correlation, solar system, scales, fractal")
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