Structural Admissibility and Scientific Representation: From Operator Filtering to Representation Governance in the Quantized Dimensional Ledger

This paper develops structural admissibility as a constraint on scientific representation and uses the Quantized Dimensional Ledger (QDL) as a formal framework for articulating that constraint. Scientific representations are commonly evaluated by empirical adequacy, mathematical consistency, explanatory utility, robustness, and pragmatic usefulness. Dimensional homogeneity supplies an additional requirement, but the paper argues that dimensional homogeneity alone is not sufficient for representational legitimacy when models are transformed, truncated, calibrated, coupled, simulated, coarse-grained, or embedded in measurement chains. The central claim is that admissibility should not be understood only as a…