Testing Candidate Cross-Domain Architectural Invariants: A Bounded Framework for Admissible Mapping, Preservation, and Refutation

This preprint develops a bounded framework for testing candidate cross-domain architectural invariants without treating resemblance, recurrence, shared notation, or abstract similarity as evidence of invariance. It distinguishes informal resemblance, mapped recurrence, bounded candidates, replicated invariants, and necessity candidates through an I0–I4 status ladder. It defines domain- and purpose-indexed architecture descriptions, partial admissible mappings, declared tolerances, preservation tests, boundary and scale controls, and explicit refutation paths. The manuscript is an integrated, literature-grounded Stage 1.6 framework with a maximum Architecture Science claim status of CS-2. It registers eight candidate invariant families and six provisional, falsifiable hypotheses. It does not establish a cross-domain invariant, mapping-existence theorem, necessity relation, universal architectural property, completed multi-domain validation, independent replication, or candidate or mature architectural law. The accompanying Supporting Constitutional and Scientific Record preserves notation, claim, limitation, negative-control, objection, bibliography, provenance, and successor controls. Human-AI collaboration is disclosed as process provenance and is not empirical evidence or independent peer review.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-15
DOI
https://doi.org/10.5281/zenodo.22759389
Primary Topic
Scientific Computing and Data Management
Type
preprint
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preprint

Testing Candidate Cross-Domain Architectural Invariants: A Bounded Framework for Admissible Mapping, Preservation, and Refutation

Bereket Endrias Ganebo
Zenodo (CERN European Organization for Nuclear Research)
Scientific Computing and Data Management
preprint

Testing Candidate Cross-Domain Architectural Invariants: A Bounded Framework for Admissible Mapping, Preservation, and Refutation

Bereket Endrias Ganebo
preprint en

Abstract

This preprint develops a bounded framework for testing candidate cross-domain architectural invariants without treating resemblance, recurrence, shared notation, or abstract similarity as evidence of invariance. It distinguishes informal resemblance, mapped recurrence, bounded candidates, replicated invariants, and necessity candidates through an I0–I4 status ladder. It defines domain- and purpose-indexed architecture descriptions, partial admissible mappings, declared tolerances, preservation tests, boundary and scale controls, and explicit refutation paths. The manuscript is an integrated, literature-grounded Stage 1.6 framework with a maximum Architecture Science claim status of CS-2. It registers eight candidate invariant families and six provisional, falsifiable hypotheses. It does not establish a cross-domain invariant, mapping-existence theorem, necessity relation, universal architectural property, completed multi-domain validation, independent replication, or candidate or mature architectural law. The accompanying Supporting Constitutional and Scientific Record preserves notation, claim, limitation, negative-control, objection, bibliography, provenance, and successor controls. Human-AI collaboration is disclosed as process provenance and is not empirical evidence or independent peer review.

Zenodo (CERN European Organization for Nuclear Research)
Oldham Council (GB)
Sustainable cities and communities
Scientific Computing and Data Management
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