Canonical Notation, Axiom Set, and Program Standards for the Finite-Capacity Latency–Erasure Framework A Unified Symbolic, Axiomatic, Admissibility, and Benchmark Charter for a Multiscale Finite-Capacity Physical Program

We establish a canonical notation, axiom set, and program-standardization charter for the finite-capacity latency–erasure framework. Earlier branches of the program developed ontology, microphysical closure, covariant source architecture, weak-field gravity, cosmology, nonequilibrium memory, stochastic fluctuations, perturbative matter response, dynamical wave consistency, nonlinear hierarchy, thermodynamic closure, compact-object completion, benchmark-oriented inference, empirical survival logic, and capstone synthesis. The present work does not add a new physical sector. Instead, it stabilizes the full program at the level of language, symbolism, axioms, branch naming, admissibility criteria, benchmark metadata, and manuscript interoperability. We define the framework’s canonical variable set, standard source decomposition, temperature-weighting rule, perturbation symbols, wave notation, hierarchy coordinates, thermodynamic functionals, and strong-field diagnostics. We then formulate a compact axiom set capturing finite-capacity realization, occupancy-dependent latency, overwrite irreversibility, memory retention, fluctuation transport, regime-sensitive closure, layered admissibility, and saturation-adjacent strong-field completion. Finally, we specify program standards for branch naming, benchmark classification, data-safe benchmark labeling, canon hierarchy, manuscript cross-referencing, and symbol discipline across the canonical literature. The resulting charter converts the finite-capacity program from a family of related manuscripts into a formally standardized research system with a stable symbolic and conceptual vocabulary.