Thermodynamic inversion

Book V splits entropy into defect, refinement, and interaction readouts,

S(n)=S_def(n)+S_ref(n)+ε(n), 0≤ε(n)≤ S_def(n).

S_def tracks unresolved carrier defects; S_ref tracks refinement/readout proliferation; ε records the bounded cross-term between the two. The τ-native arrow points toward defect exhaustion and ordering, while ordinary thermodynamics reads the refinement/decay side of the same process. Thus thermodynamics is not simply reversed as an empirical slogan; it is decomposed into coordinated readouts whose ordinary coarse-grained projection recovers the familiar direction.