Chapter 30: Macro Phase Transitions and Regime Crossings

Book IV, Chapter 53, established the fundamental principle: every phase transition is an inequality crossing in the defect-tuple space (μ, ν, κ, θ). No external order parameter is needed; the defect tuple is the order parameter. That chapter classified the fiber-level regimes—superfluids, superconductors, crystals, glass, quasicrystals—by their defect-tuple signatures.

This chapter lifts the principle to the macroscopic scale. Phase transitions at the macro level—stellar phase boundaries, neutron star crusts, white dwarf crystallization, the glass transition in astrophysical melts—are the same structural phenomenon as their fiber-level counterparts: inequality crossings in the base-projected defect-tuple space.

The chapter closes Part IV by establishing the complete collective-dynamics vocabulary: fluids (Chapter 27), turbulence (Chapter 28), charges (Chapter 29), plasmas (Chapter 30), MHD and Alfv'en waves (Chapters 31–32), and now phase transitions. This vocabulary is the prerequisite for the astrophysical applications of Part V.

Scope: τ-effective throughout.