Statistical Mechanics as Standing Preserving Bookkeeping

This paper reclassifies statistical mechanics as a form of standing-preserving bookkeeping rather than as a theory that introduces new physical structure or ontic randomness. It shows that statistical descriptions arise when admissible reference must be maintained across large ensembles under limited expressive resolution, not because nature itself is fundamentally statistical. Within a closed admissibility framework, probabilities, ensembles, and thermodynamic quantities function as representational devices that stabilize reference when micro-level description is either unavailable or inadmissible. They do not add degrees of freedom, causal powers, or stochastic dynamics to the underlying system. When statistical mechanics is treated as revealing ontic indeterminacy or emergent laws, representational compression is illicitly promoted into physical explanation. The analysis is eliminative. No alternative foundations for statistical mechanics are proposed, and no methodological prescriptions are given. The paper instead establishes a boundary condition: statistical mechanical formalisms are admissible only insofar as they preserve standing across coarse-grained descriptions without making claims about underlying micro-ontology. By situating statistical mechanics alongside other standing-preserving representational regimes, the paper dissolves longstanding debates about emergence, irreversibility, and the reality of probability in physics. It closes these debates by showing that the disputed claims arise from category errors about the role of statistical description, not from unresolved physical questions.