Adaptive Reduction Theory (ART) Cartography: Reference-Frame Formation and Scale Translation

ART Cartography is presented as the reference-frame formation and scale-translation layer of Adaptive Reduction Theory (ART). It occupies the programme position between the published ART Kernel and the formal Foundation and Installation layer. Its purpose is to explain how ART moves from compact kernel vocabulary into installed domain sciences without jumping directly from ontology to application.

The manuscript develops cartography as the disciplined construction of reference frames, translation paths, scale relations, viewpoint positions, and boundary conditions for ART installations. It clarifies how an Editor encounters a situation through reduction, how a source field becomes a referenced object before formal installation, how a reference frame makes that situation available for action, and how hidden remainder appears when a frame omits viability-relevant structure. Cartography does not replace the ART Kernel and does not yet perform full domain installation. It prepares the reference architecture through which installation becomes coherent.

The record focuses on reference-frame formation, scale translation, candidate-frame admission, and the prevention of direct, unexamined movement from philosophical kernel language into domain science. It develops the logic of movement from ART Kernel to formal foundation, from foundation to installed science, and from installed science to domain-level applications. The paper gives special attention to scale mismatch, frame non-equivalence, micro–meso–macro translation, and the fact that the same event may have different meanings under different viability regimes.

The central contribution is a cartographic method for locating ART claims before formal installation. A domain claim must be placed in a frame, scale, viewpoint, horizon, and viability context before it can be responsibly translated into a kernel mapping, morphism, audit grammar, or domain installation. Cartography also clarifies when a subdomain frame may be revised, replaced, or reinstalled while a higher-order domain frame remains continuous. In this sense, ART Cartography is a methodological bridge rather than a completed applied science.

The manuscript also supports the later Science-by-ART and CARE records by showing how legacy sciences, domain theories, and applied systems can be positioned relative to ART. Cartography helps distinguish formal structure from living adaptive process, subject-object from scientific practice, and domain-specific viability from cross-scale translation. It prepares the chain by which ART can audit sciences, detect gaps, and construct domain installations without collapsing different frames into one another.

This release is a coherence-stage theoretical and methodological document. It establishes the reference-frame layer needed for later foundation, science-audit, and domain-installation work. It does not claim empirical validation, operational certification, or replacement of specialist domain expertise.

ART programme chain: this record belongs to the sequence ART Kernel → ART Cartography → ART Foundation and Installation → Science-by-ART → CARE Domain Installation. Related DOI records: ART Kernel, https://doi.org/10.5281/zenodo.19733047; Adaptive Reduction Theory (ART): Foundation, Installation, and a Minimal Application, https://doi.org/10.5281/zenodo.20118318; Science-by-ART, https://doi.org/10.5281/zenodo.20339256; CARE Domain Installation, https://doi.org/10.5281/zenodo.20339265.