56c71c87b2
- cuda/ — main LBM kernel (khra_gixx_1024_v5.cu) - navigator/ — lattice_observer, golden_weave, bridges, mock daemon - scripts/ — compile, start, launch, setup (paths updated) - docs/ — system manual - archive/ — everything else (old kernels, inquiries, experiments) - README.md — full setup guide: requirements, quick start, use your own LLM - removed training/ entirely (broken LoRA scripts + datasets) - .gitignore: exclude build/ logs/ training/ *.jsonl
147 lines
4.4 KiB
Python
147 lines
4.4 KiB
Python
#!/usr/bin/env python3
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"""Cross-reference lattice values with known physical constants"""
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import math
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print("="*70)
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print("CROSS-REFERENCE: LATTICE VALUES vs PHYSICAL CONSTANTS")
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print("="*70)
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# Discovered lattice values
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spacing = 0.1331 # Asymmetry level spacing
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peak_1 = 13.3745 # Ground state
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peak_6 = 14.0401 # High energy state
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mean_asym = 13.724107
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print("\n" + "="*70)
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print("DISCOVERED LATTICE VALUES")
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print("="*70)
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print(f"Energy level spacing: {spacing}")
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print(f"Ground state (Peak 1): {peak_1}")
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print(f"High energy (Peak 6): {peak_6}")
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print(f"Mean asymmetry: {mean_asym}")
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# Known physical constants
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print("\n" + "="*70)
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print("PHYSICAL CONSTANTS")
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print("="*70)
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constants = {
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"Fine-structure constant (α)": 1/137.036,
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"Inverse fine-structure (1/α)": 137.036,
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"Golden ratio (φ)": 1.6180339887,
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"Golden ratio squared (φ²)": 2.6180339887,
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"1/φ": 0.6180339887,
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"π": math.pi,
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"π/2": math.pi/2,
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"π/4": math.pi/4,
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"√2": math.sqrt(2),
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"√3": math.sqrt(3),
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"√5": math.sqrt(5),
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"Euler's number (e)": math.e,
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"ln(2)": math.log(2),
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"ln(10)": math.log(10),
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"Planck length (m)": 1.616e-35,
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"Planck time (s)": 5.391e-44,
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"Planck mass (kg)": 2.176e-8,
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"Speed of light c (m/s)": 299792458,
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"Avogadro's number": 6.022e23,
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"Proton/electron mass ratio": 1836.15,
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"Neutron/proton mass ratio": 1.001378,
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}
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print("\n" + "="*70)
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print(f"SPACING = {spacing} vs CONSTANTS")
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print("="*70)
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for name, value in constants.items():
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ratio = spacing / value if value != 0 else 0
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inverse_ratio = value / spacing if spacing != 0 else 0
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# Check if close to 1, 1/2, 2, 1/10, 10, etc
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matches = []
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for factor in [1, 2, 0.5, 10, 0.1, 100, 0.01]:
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if abs(ratio - factor) < 0.1 * factor:
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matches.append(f"≈ {factor}×")
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if abs(inverse_ratio - factor) < 0.1 * factor:
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matches.append(f"≈ 1/{factor}×")
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if matches:
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print(f"\n{name}: {value:.6e}")
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print(f" spacing/constant = {ratio:.6f}")
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print(f" constant/spacing = {inverse_ratio:.6f}")
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print(f" *** MATCHES: {', '.join(matches)} ***")
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print("\n" + "="*70)
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print(f"GROUND STATE = {peak_1} vs CONSTANTS")
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print("="*70)
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for name, value in constants.items():
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ratio = peak_1 / value if value != 0 else 0
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if abs(ratio - round(ratio)) < 0.05 and round(ratio) > 0:
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print(f"\n{name}: {value:.6e}")
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print(f" {peak_1} / {value:.6e} = {ratio:.4f} ≈ {round(ratio)}")
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print(f" *** INTEGER RELATIONSHIP ***")
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print("\n" + "="*70)
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print("SPECIAL RELATIONSHIPS")
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print("="*70)
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# Check if spacing relates to phi
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phi = 1.6180339887
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print(f"\nφ = {phi}")
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print(f"spacing × φ = {spacing * phi:.6f}")
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print(f"spacing / φ = {spacing / phi:.6f}")
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print(f"φ - spacing = {phi - spacing:.6f}")
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# Check if 1/spacing relates to known values
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inv_spacing = 1 / spacing
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print(f"\n1/spacing = {inv_spacing:.4f}")
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print(f"Compare to: 1/α = 137.036")
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print(f"Ratio: {inv_spacing / 137.036:.6f}")
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# Check relationship to π
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print(f"\nπ = {math.pi}")
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print(f"spacing × π = {spacing * math.pi:.6f}")
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print(f"spacing / π = {spacing / math.pi:.6f}")
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print(f"π / spacing = {math.pi / spacing:.6f}")
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# Check if it's 1/√something
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for n in [2, 3, 5, 7, 10, 12, 15, 20, 50, 75, 100]:
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sqrt_n = math.sqrt(n)
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if abs(spacing - 1/sqrt_n) < 0.01:
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print(f"\n*** spacing ≈ 1/√{n} = {1/sqrt_n:.6f} ***")
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if abs(spacing - sqrt_n) < 0.01:
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print(f"\n*** spacing ≈ √{n} = {sqrt_n:.6f} ***")
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# Check if spacing is 1/integer
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for n in range(1, 20):
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if abs(spacing - 1/n) < 0.005:
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print(f"\n*** spacing ≈ 1/{n} = {1/n:.6f} ***")
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# Check relationship between peaks
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print("\n" + "="*70)
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print("PEAK-TO-PEAK RATIOS")
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print("="*70)
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peaks = [13.3745, 13.5076, 13.6407, 13.7739, 13.8626, 14.0401]
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for i in range(len(peaks)-1):
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ratio = peaks[i+1] / peaks[i]
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print(f"Peak {i+2}/Peak {i+1} = {ratio:.6f}")
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if abs(ratio - phi) < 0.01:
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print(f" *** CLOSE TO φ ***")
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if abs(ratio - 1/phi) < 0.01:
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print(f" *** CLOSE TO 1/φ ***")
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# Check if mean relates to anything
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print(f"\nMean asymmetry: {mean_asym}")
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print(f"Mean / φ = {mean_asym / phi:.6f}")
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print(f"Mean × φ = {mean_asym * phi:.6f}")
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print(f"Mean - 13 = {mean_asym - 13:.6f}")
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print(f"Mean - 14 = {mean_asym - 14:.6f}")
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print("\n" + "="*70)
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print("ANALYSIS COMPLETE")
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print("="*70)
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