Preprints
Monograph, research papers, and downloads
For consolidated current citation metadata, author identification, and the outside-source BibTeX file, see Sources and Citation. Correction procedure and archive policy are maintained on Corrections and Version Record. The expandable BibTeX blocks below remain the paper-specific citation records.
The monograph is the primary source for the closure program. The six research papers isolate specific arguments, comparison theorems, or applications. Formal claims are controlled by the definitions, hypotheses, and proofs in the versioned PDFs.
I. The Monograph
Primary Monograph
A mathematically closed physical theory is formulated without external primitive structure. The monograph develops the closure principle as a classification program, establishing the admissible architecture as rigid across geometric, field-theoretic, scalar, matter, and state-side reconstruction sectors. The theory proceeds from primitive comparison data through quotient semantics, transport obstruction, curvature at the faithful smooth-realization stage, and the emergence of smooth geometry within that interface. The faithfulness condition at that stage is decomposed into a torsion condition (T) and an intrinsic detectability axiom (D) and is discharged on a canonical realization built from the tower itself.
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Citation
DOI
Cite
@book{wolfe2026closed,
author = {Chast K. Wolfe},
title = {Closed Systems from Comparison Completeness},
year = {2026},
version = {12},
doi = {10.5281/zenodo.20694663},
note = {Version 12; current version at https://closureresearchinitiative.org/csm/},
publisher = {Closure Research Initiative},
url = {https://closureresearchinitiative.org/csm/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
This is the primary monograph. Supporting papers develop specific results in greater technical detail.
II. Research Papers
Download all papers and LaTeX source (ZIP)
A finitary structural account of subsystem attribution in closed two-subsystem comparison worlds, using only binary comparison predicates as primitive data: no topology, metric, dynamics, background geometry, or gauge structure. Among locally distinguishable worlds, rectangular completeness is equivalent to profile-maximality.
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Citation
DOI
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@misc{wolfe2026ccw,
author = {Chast K. Wolfe},
title = {Closed Comparison Worlds and the Obstruction to Subsystem Attribution},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20694701},
note = {Version 3; current version at https://closureresearchinitiative.org/ccw/},
url = {https://closureresearchinitiative.org/ccw/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
At the faithful smooth-realization stage, a genuinely frame-complete closed three-dimensional system is forced to the spherical case. The theorem is stated through isometry-induced frame transport, frame-bundle transitivity, constant curvature, and the compact simply connected space-form classification.
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DOI
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@misc{wolfe2026closure,
author = {Chast K. Wolfe},
title = {Closure Forces Spherical Geometry: Genuinely Closed Three-Dimensional Systems Are Diffeomorphic to S\textsuperscript{3}},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20694725},
note = {Version 3; current version at https://closureresearchinitiative.org/cfsg/},
url = {https://closureresearchinitiative.org/cfsg/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
Distinguishes FLRW open/flat/closed curvature terminology from structural closure as an admissibility condition. Version 3 aligns the S³ claim with the frame-complete manifold-stage theorem and separates local expansion kinematics from curvature-sensitive FLRW distance measures.
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DOI
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@misc{wolfe2026structural,
author = {Chast K. Wolfe},
title = {Structural Closure and the Cosmological Misnomer: Admissibility, Expansion, and the Geometry of Closed Systems},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20694803},
note = {Version 3; current version at https://closureresearchinitiative.org/scc/},
url = {https://closureresearchinitiative.org/scc/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
A comparison theorem identifying rectangular completeness with the full-product component of standard two-subsystem closure, with the thermodynamic preparation-space analogue and the precise quantum product-sector boundary.
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@misc{wolfe2026rectangular,
author = {Chast K. Wolfe},
title = {Rectangular Completeness Encompasses Standard Physical Closure},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20695177},
note = {Version 3; current version at https://closureresearchinitiative.org/rc/},
url = {https://closureresearchinitiative.org/rc/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
A conditional taxonomy of primitive structural input in closed-world accounts. Externalization, artificial factorization, premature globalization, and reification of repair are formalized as independent predicates on framework data.
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@misc{wolfe2026foundational,
author = {Chast K. Wolfe},
title = {Foundational Closure and Primitive Structural Input: A Four-Axis Taxonomy},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20695081},
note = {Version 3; current version at https://closureresearchinitiative.org/fe/},
url = {https://closureresearchinitiative.org/fe/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
A factorization criterion for comparison data with fixed endpoints: a route invariant is determined by endpoint data if and only if it is constant on every endpoint fiber. Instances are recorded in quotient semantics, categories, gauge transport, holonomy, differential geometry, and general relativity.
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Source
Citation
DOI
Cite
@misc{wolfe2026route,
author = {Chast K. Wolfe},
title = {A Factorization Criterion for Route Invariants with Fixed Endpoint Data},
year = {2026},
version = {3},
howpublished = {Closure Research Initiative preprint},
doi = {10.5281/zenodo.20694985},
note = {Version 3; current version at https://closureresearchinitiative.org/rie/},
url = {https://closureresearchinitiative.org/rie/},
license = {All Rights Reserved. See https://closureresearchinitiative.org/license/},
}
III. Citation Trail
For paper-specific claims, cite the linked work page, current PDF, and current BibTeX entry. For consolidated citation metadata and external comparison claims about background structure, gauge theory, geometry, cosmology, standard physical closure, or millicharged-particle searches, use Sources and Citation, the deeper trails on Overview, Structural Map, Reading Guide, Predictions, and the relevant work page.