Fibonacci Causal Loop Theory — Paper 25: S(0) as the Planck Floor: Deriving Fundamental Units from Pre-Recursive Necessity

Fibonacci Causal Loop Theory (FCLT) identifies S(0) — the pre-recursive ground state of the necessity recursion S(n) = S(n-1) + S(n-2) — with the Planck floor. Three results follow: (1) the cosmological constant problem is dissolved, deriving Λ(n) ~ φ^(−2n) at recursion depth n ≈ 291, predicting Λ_P ≈ 2.34 × 10⁻¹²² versus observed 2.89 × 10⁻¹²² (δ = 0.19), reducing QFT prediction error from 10¹²² to 19% with no tuned parameters; (2) Loop Quantum Gravity and asymptotic safety are shown to approach the same S(0) floor from complementary directions; (3) a categorical framework distinguishes phi-convergent constants (recursion outputs) from phi-null constants (recursion boundary conditions). Three falsifiable predictions provided.