Thermodynamics, Relativity, and Quantum Physics A Single Structure from Φ2 = Φ + 1

In the asymmetric spiral framework, the single axiom Φ2 = Φ + 1 and the partition function Z(β) = φβ +ψβ(with depth β = k+s, s ∈ [0, 1]) yield thermodynamics (partition function, temperature T(β) = TP φ−β, entropy, first and second laws, heat capacity), relativity(speed of light c as iteration rate, Wick rotation at mid-breath, dmax = 4, Lorentz structureat contact, GR as large-k limit), and quantum physics (Born weights P±(k), propagator,tunnelling, decoherence, spin-statistics). All three pillars derive from the same object—thebreathing arc Z(β)—without separate postulates. This note is a standalone extract.