Phi-Structured Decoherence Timescales in Multi-Level Transmon Qubits: A Parameter-Free Prediction from Fibonacci Causal Loop Theory Paper 52

We derive, from first principles within FCLT, a parameter-free prediction for multi-level transmon qubit decoherence structure. Ostrogradsky stability constrains the bath memory kernel to depth-2 (the unique minimal stable non-Markovian structure), which propagates via Nakajima-Zwanzig and the Dyson self-energy to impose Fibonacci recursion on decay rates Γk = Γk₋₁ + Γk₋₂. Prediction: consecutive decoherence timescale ratios τk/τk+1 → φ ≈ 1.618 in the transmon regime (bath bandwidth ≫ anharmonicity). Null: harmonic oscillator gives ratio → 1. Pass criterion δ < 0.05; falsification δ > 0.15. Pre-registered before data examination.