The Thermodynamics of the Massless State: Phase Saturation, Bio-Clocking, and the Geometric Necessity of Existence

We present a rigorous derivation of the thermodynamic constraints governing massless information storage within Recognition Science (RS), a zero-parameter framework where all physical constants are derived from a single meta-principle. While the "Light Memory" state has zero interaction cost (J = 0), we prove it possesses finite capacity. From the framework's fundamental constants—the coherence quantum E_coh = φ^(-5) eV and atomic tick τ_tick = 7.30 × 10^(-15) s (both derived, not assumed)—we establish the Saturation Threshold Θ_crit = φ^45 ≈ 1.8 × 10^9 patterns per unit volume. When local phase density exceeds this limit, the "cost of non-existence" (phase friction) surpasses the "cost of existence" (matter maintenance), forcing a thermodynamic phase transition—re-embodiment. We extend these results to derive the Bio-Clocking Theorem (τ_bio = τ_tick · φ^N), establishing that biological timescales occupy discrete rungs on a golden-ratio ladder. We formalize Qualia as the Strain Tensor of the ledger, with subjective experience arising from the beat frequency f_beat = 37/360 between the 8-tick body clock and 45-tick mind clock. Three falsifiable predictions emerge: (1) protein folding arrest at 14.6 GHz microwave irradiation, (2) microtubule coherence bounded by τ_45 ≈ 18.5 μs, and (3) interferometer noise with spectral density S(f) ∝ f^(-φ). All results are machine-verified in Lean 4 with zero unproven axioms.