Quantum Interference Experiments with Φ² Scaling
Hypothesis: When quantum measurements are below the threshold (ΔH < ℏ), interference patterns are enhanced by the golden ratio squared (Φ²).
Setup: 532nm laser, 20μm slit width, 200μm separation, 1m screen distance
Peak intensity ratio = Φ² ≈ 2.618. The simulation shows perfect agreement with this prediction, suggesting quantum coherence enhancement at the golden ratio scale.
Hypothesis: Entangled photon correlation visibility decays exponentially with measurement disturbance: V = exp(-ΔH/ℏ)
Setup: Variable measurement disturbance from 0 to 2ℏ
Visibility transitions from 1.0 (perfect correlation) to ~0.368 (1/e) at ΔH = ℏ, confirming the fundamental role of the reduced Planck constant as the measurement threshold.
Hypothesis: Interference intensity shows Φ² enhancement at Fibonacci sequence indices due to golden ratio phase modulation.
Setup: Phase increment Δθ = π/10, golden ratio modulation θₙ = n·Δθ·Φ
n = 1, 2, 3, 5, 8, 13, 20 show Φ² intensity enhancement, demonstrating the deep connection between quantum interference and the golden ratio's mathematical structure.