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Canonical citation targets and outside works cited by the research record
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Canonical citation targets for the Closure Research Initiative are listed below. Paper-specific BibTeX blocks remain on Preprints and on the individual work pages; the list records the consolidated citation map. Correction procedure and version-record policy are maintained on Corrections and Version Record.
Chast K. Wolfe, ORCID iD: 0009-0008-8846-2539.
Use for author disambiguation when citing Closure Research Initiative works.
Chast K. Wolfe, Closed Systems from Comparison Completeness, v12, Closure Research Initiative, 2026. Current version: closureresearchinitiative.org/csm/. DOI: 10.5281/zenodo.20694663. DOI metadata for earlier releases is retained on the corresponding archive records.
Current monograph citation. PDF: csm.pdf. BibTeX: Preprints and monograph page. Version archive: monograph Version History.
Chast K. Wolfe, "Closed Comparison Worlds and the Obstruction to Subsystem Attribution," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/ccw/. DOI: 10.5281/zenodo.20694701.
Current CCW citation. PDF: ccw.pdf. BibTeX: Preprints and CCW page. Version archive: CCW Version History.
Chast K. Wolfe, "Closure Forces Spherical Geometry: Genuinely Closed Three-Dimensional Systems Are Diffeomorphic to S³," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/cfsg/. DOI: 10.5281/zenodo.20694725.
Chast K. Wolfe, "Structural Closure and the Cosmological Misnomer: Admissibility, Expansion, and the Geometry of Closed Systems," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/scc/. DOI: 10.5281/zenodo.20694803.
Chast K. Wolfe, "Rectangular Completeness Encompasses Standard Physical Closure," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/rc/. DOI: 10.5281/zenodo.20695177.
Chast K. Wolfe, "Foundational Closure and Primitive Structural Input: A Four-Axis Taxonomy," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/fe/. DOI: 10.5281/zenodo.20695081.
Chast K. Wolfe, "A Factorization Criterion for Route Invariants with Fixed Endpoint Data," Closure Research Initiative preprint, v3, 2026. Current version: closureresearchinitiative.org/rie/. DOI: 10.5281/zenodo.20694985.
Closure Research Initiative, External Sources BibTeX, maintained bibliography for outside works cited by the research record.
Download: external-sources.bib. Use DOI, publisher, arXiv, archive, or institutional pages below when a venue requires canonical publisher metadata.
Citation Scope
The opening section records canonical internal citation targets for the monograph and public preprints. The bibliography below collects outside works cited by the Closure Research Initiative for background, comparison, experimental, or legal context.
The external links below point to DOI, publisher, arXiv, archive, or institutional pages. They are citation links, not redistributed copies of copyrighted works.
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Basic BibTeX entries for the outside sources listed here. Use the linked DOI or publisher page when a venue requires canonical metadata.
Background Sources
L. D. Landau and E. M. Lifshitz, Mechanics, 3rd ed. (Pergamon, 1976).
H. Goldstein, C. P. Poole, and J. L. Safko, Classical Mechanics, 3rd ed. (Addison-Wesley, 2001).
Used on: RC, for the standard Hamiltonian-mechanics background against which the full-product state-space condition is compared.
H. B. Callen, Thermodynamics and an Introduction to Thermostatistics, 2nd ed. (Wiley, 1985).
Used on: RC, for the distinction between closed and isolated thermodynamic systems and for preparation-versus-equilibrium terminology.
C. J. Isham, “Canonical Quantum Gravity and the Problem of Time,” in Integrable Systems, Quantum Groups, and Quantum Field Theories (Kluwer, 1993), 157–287; arXiv:gr-qc/9210011.
Used on: CSM Introduction, for problem-of-time context behind the no-external-reference-frame stance.
K. V. Kuchař, “Time and interpretations of quantum gravity,” Int. J. Mod. Phys. D 20 (2011) 3–86.
Used on: CSM Introduction, for problem-of-time context behind the no-external-reference-frame stance.
E. Anderson, The Problem of Time: Quantum Mechanics Versus General Relativity (Springer, 2017).
Used on: CSM Introduction, for problem-of-time and background-independence context.
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, 1955).
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, 10th anniversary ed. (Cambridge University Press, 2010).
Used on: RC, for bipartite quantum systems, unitary closed-system terminology, product states, and density-matrix marginal notation.
M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Westview, 1995).
R. M. Wald, General Relativity (University of Chicago Press, 1984).
S. Weinberg, Gravitation and Cosmology (Wiley, 1972).
Used on: Reading Guide, Research Notes.
C. F. Gauss, “Disquisitiones generales circa superficies curvas,” Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores 6 (1828) 99–146.
Used on: SCC, for the intrinsic-curvature background in the discussion of expansion without ambient space.
B. Riemann, “Über die Hypothesen, welche der Geometrie zu Grunde liegen,” Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen 13 (1868) 133–152.
Used on: SCC, for the intrinsic-manifold lineage behind the general-relativistic reading of geometry.
A. Einstein, “Die Grundlage der allgemeinen Relativitätstheorie,” Annalen der Physik 354 (1916) 769–822.
Used on: SCC, for the intrinsic, background-independent formulation of general relativity discussed there.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I (Interscience, 1963).
W. Ambrose and I. M. Singer, “A theorem on holonomy,” Transactions of the American Mathematical Society 75 (1953) 428–443.
Used on: Overview, for the classical relation between holonomy and curvature used in the route-obstruction discussion.
S. Kobayashi, “Fixed points of isometries,” Nagoya Mathematical Journal 13 (1958) 63–68.
S. Bochner and K. Yano, Curvature and Betti Numbers, Annals of Mathematics Studies 32 (Princeton University Press, 1953).
Used on: CFSG, for standard background on curvature and isometry methods in Riemannian geometry.
J. A. Wolf, Spaces of Constant Curvature, 6th ed. (AMS Chelsea Publishing, 2011).
R. S. Hamilton, “Three-manifolds with positive Ricci curvature,” Journal of Differential Geometry 17 (1982) 255–306.
Used on: CFSG, for historical context on Ricci flow in the comparison with the Poincaré theorem.
G. Perelman, “The entropy formula for the Ricci flow and its geometric applications,” arXiv:math/0211159 (2002).
Used on: CFSG, for the comparison with the standard Poincaré theorem.
G. Perelman, “Ricci flow with surgery on three-manifolds,” arXiv:math/0303109 (2003).
Used on: CFSG, for the comparison with the standard Poincaré theorem.
G. Perelman, “Finite extinction time for the solutions to the Ricci flow on certain three-manifolds,” arXiv:math/0307245 (2003).
Used on: CFSG, for the comparison with the standard Poincaré theorem.
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces (Academic Press, 1978).
Used on: Overview, Reading Guide.
J. R. Munkres, Topology, 2nd ed. (Prentice Hall, 2000), Sec. 29.
Used on: Foundations, for one-point compactification background.
M. H. Stone, “The theory of representations for Boolean algebras,” Trans. Amer. Math. Soc. 40 (1936) 37–111.
Used on: CSM Chapters 1 and 11, for Boolean-algebra, ultrafilter, and Stone-space conventions.
S. Mac Lane, Categories for the Working Mathematician, 2nd ed. (Springer, 1998).
W. Hodges, A Shorter Model Theory (Cambridge University Press, 1997).
Used on: CCW, for model-theoretic profile and definability background.
R. Brown, Topology and Groupoids (BookSurge, 2006).
Used on: CCW, for groupoid terminology in the transport-classification appendix.
K. C. H. Mackenzie, General Theory of Lie Groupoids and Lie Algebroids (Cambridge University Press, 2005).
Used on: CCW, for the groupoid and algebroid background cited in the transport-classification discussion.
W. Rudin, Real and Complex Analysis, 3rd ed. (McGraw–Hill, 1987).
Used on: CSM Chapter 23, for the Stone–Weierstrass theorem reference.
J. M. Lee, Introduction to Smooth Manifolds, 2nd ed. (Springer, 2013).
Used on: CSM Chapter 23, for the smooth-manifold local decomposition used in the derivation/vector-field argument.
T. Kato, Perturbation Theory for Linear Operators (Springer, 1995).
Used on: CSM Chapters 14, 19, and 22, for spectral-theorem background and the closed-positive-form representation theorem.
M. Hall, Jr., The Theory of Groups (Macmillan, 1959).
Used on: CSM Appendix B, for the Hall–Witt identity.
M. Nakahara, Geometry, Topology and Physics, 2nd ed. (Institute of Physics, 2003).
R. K. Pathria and P. D. Beale, Statistical Mechanics, 3rd ed. (Elsevier, 2011).
Used on: Overview, Reading Guide.
K. G. Wilson, “Confinement of quarks,” Phys. Rev. D 10 (1974) 2445–2459.
T. G. Northrop, The Adiabatic Motion of Charged Particles (Interscience, 1963).
Used on: CSM Appendix B, for the charged-particle adiabatic-invariant context.
K. G. Wilson, “Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture,” Phys. Rev. B 4 (1971) 3174–3183.
Used on: Overview, for renormalization-group background.
S. W. Hawking and R. Penrose, “The singularities of gravitational collapse and cosmology,” Proc. R. Soc. Lond. A 314 (1970) 529–548.
Used on: Overview, for singularity-theorem background.
A. H. Guth, “Inflationary universe: A possible solution to the horizon and flatness problems,” Phys. Rev. D 23 (1981) 347–356.
Used on: Overview, for standard inflationary-cosmology background.
A. Friedmann, “Über die Krümmung des Raumes,” Zeitschrift für Physik 10 (1922) 377–386.
Used on: SCC, for the Friedmann part of the FLRW cosmology framework.
G. Lemaître, “Un univers homogène de masse constante et de rayon croissant rendant compte de la vitesse radiale des nébuleuses extra-galactiques,” Annales de la Société Scientifique de Bruxelles A 47 (1927) 49–59.
Used on: SCC, for the Lemaître part of the FLRW cosmology framework.
H. P. Robertson, “Kinematics and World-Structure,” Astrophysical Journal 82 (1935) 284–301.
Used on: SCC, for the Robertson part of the FLRW cosmology framework.
A. G. Walker, “On Milne’s Theory of World-Structure,” Proceedings of the London Mathematical Society s2-42 (1937) 90–127.
Used on: SCC, for the Walker part of the FLRW cosmology framework.
D. W. Hogg, “Distance measures in cosmology,” arXiv:astro-ph/9905116 (1999).
Planck Collaboration, “Planck 2018 results. VI. Cosmological parameters,” Astronomy & Astrophysics 641 (2020) A6.
S. Alam et al. (BOSS Collaboration), “The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample,” Monthly Notices of the Royal Astronomical Society 470 (2017) 2617–2652.
Used on: SCC, for the BAO observational context in standard FLRW parameter estimation.
A. M. Gleason, “Groups without small subgroups,” Ann. of Math. 56 (1952) 193–212.
Used on: CSM Chapter 13, Notation, Logical Status, for the no-small-subgroups structure theory behind the detectability axiom and structure trichotomy.
H. Yamabe, “A generalization of a theorem of Gleason,” Ann. of Math. 58 (1953) 351–365.
Used on: CSM Chapter 13, Notation, Logical Status, for the Gleason–Yamabe solution of Hilbert’s fifth problem invoked by the structure trichotomy.
D. van Dantzig, “Zur topologischen Algebra. III. Brouwersche und Cantorsche Gruppen,” Compositio Math. 3 (1936) 408–426.
T. Tao, Hilbert’s Fifth Problem and Related Topics, Graduate Studies in Mathematics 153 (American Mathematical Society, 2014).
Used on: CSM Chapter 13, as the modern reference for the Gleason–Yamabe structure theory.
A. I. Mal’cev, “On a class of homogeneous spaces,” Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949) 9–32; English transl., Amer. Math. Soc. Transl. No. 39 (1951).
W. Magnus, “Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring,” Math. Ann. 111 (1935) 259–280.
Used on: CSM Chapter 13, Notation, Logical Status, for the Magnus expansion behind the Magnus-regime torsion theorem (condition (T)).
E. Witt, “Treue Darstellung Liescher Ringe,” J. Reine Angew. Math. 177 (1937) 152–160.
Used on: CSM Chapter 13, for the graded free Lie ring computation supporting condition (T) in the free case.
J. P. Labute, “On the descending central series of groups with a single defining relation,” J. Algebra 14 (1970) 16–23.
Used on: CSM Chapter 13, Logical Status, for graded control of one-relator presentations in the Magnus regime.
G. Duchamp and D. Krob, “The lower central series of the free partially commutative group,” Semigroup Forum 45 (1992) 385–394.
Used on: CSM Chapter 13, Logical Status, for graded control of partially commutative presentations in the Magnus regime.
J. Peetre, “Une caractérisation abstraite des opérateurs différentiels,” Math. Scand. 7 (1959) 211–218; rectification, Math. Scand. 8 (1960) 116–120.
Used on: CSM Chapter 13, for the finite-order property of local operators (the cap on the jet order).
D. B. A. Epstein and W. P. Thurston, “Transformation groups and natural bundles,” Proc. London Math. Soc. (3) 38 (1979) 219–236.
Used on: CSM Chapter 13, for the finite-order theorem for natural bundles (the cap on the jet order).
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12 (1971) 498–501.
Used on: CSM Chapter 13, for the uniqueness of second-order metric field equations in four dimensions (the cap on the jet order).
J. Cheeger, W. Müller, and R. Schrader, “On the curvature of piecewise flat spaces,” Comm. Math. Phys. 92 (1984) 405–454.
Used on: CSM Chapter 13, for the convergence of combinatorial deficit-angle curvature to smooth curvature, the metric-space ancestor of the degree-2 carrier reading.
S. A. Hojman, K. Kuchař, and C. Teitelboim, “Geometrodynamics regained,” Ann. Phys. (N.Y.) 96 (1976) 88–135.
Used on: CSM Chapter 13, as the dynamics-side precedent in which closure of the hypersurface-deformation algebra forces the Einstein Hamiltonian.
D. Repovš and E. V. Ščepin, “A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps,” Math. Ann. 308 (1997) 361–364.
Used on: CSM Chapter 13, for the action-side status of the Hilbert–Smith question (why the forcing runs on the transport group, not on an action).
J. Pardon, “The Hilbert–Smith conjecture for three-manifolds,” J. Amer. Math. Soc. 26 (2013) 879–899.
Used on: CSM Chapter 13, for the dimension-three resolution of the Hilbert–Smith conjecture cited alongside the structure trichotomy.
Comparison Sources
E. Mach, The Science of Mechanics (1883; English translation, Open Court, 1893).
Used on: Structural Map and CCW, for relational-observability background.
B. S. DeWitt, “Quantum Theory of Gravity. I. The Canonical Theory,” Phys. Rev. 160 (1967) 1113.
Used on: Structural Map.
R. Haag, Local Quantum Physics: Fields, Particles, Algebras, 2nd ed. (Springer, 1996).
Used on: Structural Map.
V. N. Gribov, “Quantization of non-Abelian gauge theories,” Nucl. Phys. B 139 (1978) 1.
Used on: Structural Map.
I. M. Singer, “Some remarks on the Gribov ambiguity,” Commun. Math. Phys. 60 (1978) 7.
Used on: Structural Map.
I. M. Singer and J. Wermer, “Derivations on commutative normed algebras,” Math. Ann. 129 (1955) 260–264.
Used on: CSM Chapter 23, for the derivation/regular-sector boundary.
L. D. Faddeev and V. N. Popov, “Feynman diagrams for the Yang–Mills field,” Phys. Lett. B 25 (1967) 29.
Used on: Structural Map.
R. Penrose, “Twistor algebra,” J. Math. Phys. 8 (1967) 345.
Used on: Structural Map.
T. Regge, “General relativity without coordinates,” Nuovo Cimento 19 (1961) 558.
Used on: Structural Map.
A. Connes, Noncommutative Geometry (Academic Press, 1994).
Used on: Structural Map.
A. Connes, “On the spectral characterization of manifolds,” J. Noncommut. Geom. 7 (2013) 1–82.
Used on: CSM Chapter 23, for the spectral-reconstruction target.
L. Smolin, “The case for background independence,” in D. Rickles, S. French, and J. Saatsi (eds.), The Structural Foundations of Quantum Gravity (Oxford University Press, 2006), arXiv:hep-th/0507235.
Used on: Structural Map.
C. Rovelli, “Relational Quantum Mechanics,” Int. J. Theor. Phys. 35 (1996) 1637.
Used on: Structural Map.
C. Rovelli, “Partial observables,” Phys. Rev. D 65 (2002) 124013.
Used on: Structural Map and CCW, for observable structure without an external time or reference frame.
B. Dittrich, “Partial and complete observables for canonical general relativity,” Class. Quantum Grav. 23 (2006) 6155–6184.
Used on: Structural Map and CCW, for generally covariant observables and reference-free physical content.
C. J. Isham and K. V. Kuchař, “Representations of spacetime diffeomorphisms. I. Canonical parametrized field theories,” Ann. Phys. 164 (1985) 288–315.
Used on: CCW, for the relation between constrained dynamics, spacetime diffeomorphisms, and representation of reference-frame structure.
J. B. Barbour and B. Bertotti, “Mach's principle and the structure of dynamical theories,” Proc. R. Soc. Lond. A 382 (1982) 295–306.
Used on: CCW, for relational-dynamical background to subsystem-attribution questions.
G. Belot, “Symmetry and gauge freedom,” Stud. Hist. Philos. Mod. Phys. 34 (2003) 189–225.
Used on: CCW, for the comparison between gauge redundancy and invariant physical content.
S. Abramsky and A. Brandenburger, “The sheaf-theoretic structure of non-locality and contextuality,” New J. Phys. 13 (2011) 113036.
Used on: Structural Map, for contextuality as obstruction to global assignment.
R. Spekkens and E. Wolfe, public lecture, Perimeter Institute, PIRSA:20100024 (7 Oct. 2020).
Used on: Structural Map, as public-context background for quantum causal inference and quantum foundations.
C. J. Wood and R. W. Spekkens, “The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations require fine-tuning,” New J. Phys. 17 (2015) 033002.
Used on: Structural Map, for quantum causal-inference comparison.
R. W. Spekkens, “The ontological identity of empirical indiscernibles: Leibniz’s methodological principle and its significance in the work of Einstein,” arXiv:1909.04628 (2019).
Used on: Structural Map, for the comparison with empirically indiscernible descriptions.
D. Schmid, R. W. Spekkens, and E. Wolfe, “All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed sets of operational equivalences,” Phys. Rev. A 97 (2018) 062103.
Used on: Structural Map, for generalized noncontextuality and operational-equivalence comparison.
Experimental Context
K. Bernhard-Novotny, “Hunting for millicharged particles at the LHC,” CERN, 14 May 2024.
Used on: Predictions.
J. Aalbers et al. (LUX-ZEPLIN Collaboration), “First constraint for atmospheric millicharged particles with the LUX-ZEPLIN experiment,” Phys. Rev. Lett. 134, 241802 (2025), arXiv:2412.04854.
Used on: Predictions.