Every source with its why-cited note, bibliographic record and access links.
Source integrity
Sources, context and citation exports
This record contains every source used by the public explanation. Each reference is cited for the specific claim or context identified in its record; the project manuscript remains the source of the new construction. Each entry explains why it is cited, provides the authoritative bibliographic record and links to the DOI, publisher, an open-access copy and Google Scholar where available.
Inline author-year citations open a reference drawer without taking the reader away from the argument. The drawer explains why the source is cited, what it supports, the scope of the citation, and where the paper uses it before showing the full bibliographic record and access links.
The complete bibliography is also published as a record of its own, with stable identifiers, citation exports, source classifications and metadata-check dates.
Observational evidence from supernovae for an accelerating universe and a cosmological constant
Why cited here Cited in Sec. “Introduction”.
Scope of this citation Provides the empirical input, convention or comparison used at the cited step.
Cited at Sec. “Introduction”
Full bibliographic record A. G. Riess et al., Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116, 1009–1038 (1998) [astro-ph/9805201].
Measurements of Ω and Λ from 42 high-redshift supernovae
Why cited here Cited in Sec. “Introduction”.
Scope of this citation Provides the empirical input, convention or comparison used at the cited step.
Cited at Sec. “Introduction”
Full bibliographic record S. Perlmutter et al., Measurements of Ω and Λ from 42 high-redshift supernovae, Astrophys. J. 517, 565–586 (1999) [astro-ph/9812133].
Why cited here Supports or contextualizes the following controlled claim records: OBS-01 – Planck 2018 flat-ΛCDM inferred benchmark; OBS-02 – Numerical comparison with the Planck benchmark; CORR-03 – Gravity-only δB tolerance.
Scope of this citation Provides the empirical input, convention or comparison used at the cited step.
Cited at Sec. “Introduction”; Sec. “From compact response to cosmological curvature: global-source completion”; Sec. “Correction budget, predictions, and tests”, paragraph “Strict compact gravitational channel.”; Sec. “Correction budget, predictions, and tests”, paragraph “Observational tests.”; Sec. “Conclusion”
Why cited here Supports or contextualizes the following controlled claim records: SM-01 – Minimal Standard Model Euler coefficient; QCD-01 – QCD supplies a physical infrared mass scale; QCD-04 – Prepared B=1 QCD+QED sector has proton spectral floor; UNIT-01 – Planck-unit normalization covariance; NUM-01 – Leading strict-channel compact benchmark; plus 1 additional claim backlink(s).
Scope of this citation Provides the empirical input, convention or comparison used at the cited step.
Cited at Sec. “Introduction”, paragraph “Conventions.”; Sec. “Standard Model evaluation of the extracted datum”; Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “Gauge-consistent proton floor”; Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “Normalized matter/IR composite”
Why cited here Supports or contextualizes the following controlled claim records: CMP-01 – Specified compact channel closes the leading numerical chain.
Scope of this citation Supports the standard result or background statement for which it is cited.
Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)
Why cited here Cited in Sec. “Introduction”; Sec. “The compact-S⁴ vacuum-energy ambiguity”, subsection “Conventions.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Introduction”; Sec. “The compact-S⁴ vacuum-energy ambiguity”
Full bibliographic record J. Martin, Everything you always wanted to know about the cosmological constant problem (but were afraid to ask), Comptes Rendus Physique 13, 566–665 (2012) [arXiv:1205.3365].
Full bibliographic record C. P. Burgess, The cosmological constant problem: why it’s hard to get dark energy from micro-physics, arXiv:1309.4133 [hep-th].
Why cited here Supports or contextualizes the following controlled claim records: VAC-01 – Absolute vacuum offset is scheme dependent; VAC-02 – Compact S⁴ sharpens the vacuum ambiguity.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact-S⁴ vacuum-energy ambiguity”; Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Local counterterm ambiguities.”; Sec. “Standard Model evaluation of the extracted datum”
Stress-tensor conformal anomaly for scalar, spinor, and vector fields
Why cited here Supports or contextualizes the following controlled claim records: SM-01 – Minimal Standard Model Euler coefficient.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Free-scalar sign audit.”; Sec. “Standard Model evaluation of the extracted datum”
Full bibliographic record J. S. Dowker and R. Critchley, Stress-tensor conformal anomaly for scalar, spinor, and vector fields, Phys. Rev. D 16, 3390–3403 (1977).
Universal definition of the nonconformal trace anomaly
Why cited here Supports or contextualizes the following controlled claim records: CORR-01 – Full interacting curved-space Standard Model coefficient; TEST-02 – Microscopic field-content sensitivity.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Standard Model evaluation of the extracted datum”; Sec. “Correction budget, predictions, and tests”, paragraph “Interacting matter coefficient.”
Full bibliographic record R. Ferrero, S. A. Franchino-Viñas, M. B. Fröb, and W. C. C. Lima, Universal definition of the nonconformal trace anomaly, Phys. Rev. Lett. 132, 071601 (2024) [arXiv:2312.07666].
Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics
Why cited here Supports or contextualizes the following controlled claim records: VAC-01 – Absolute vacuum offset is scheme dependent; VAC-02 – Compact S⁴ sharpens the vacuum ambiguity.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact-S⁴ vacuum-energy ambiguity”
Full bibliographic record R. M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, University of Chicago Press, Chicago (1994).
The generalized Schwinger–DeWitt technique in gauge theories and quantum gravity
Why cited here Supports or contextualizes the following controlled claim records: DET-01 – No canonical absolute determinant constant on round S⁴.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact-S⁴ vacuum-energy ambiguity”; Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Local counterterm ambiguities.”; Appendix: “Determinant status of the strict compact weight”
Full bibliographic record A. O. Barvinsky and G. A. Vilkovisky, The generalized Schwinger–DeWitt technique in gauge theories and quantum gravity, Phys. Rep. 119, 1 (1985).
Why cited here Supports or contextualizes the following controlled claim records: IR-01 – Direct Planck-scale mechanisms tested do not supply the linear IR factor.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Standard Model evaluation of the extracted datum”
Full bibliographic record S. Hollands and R. M. Wald, Quantum field theory is not merely quantum mechanics applied to low energy effective degrees of freedom, Gen. Relativ. Gravit. 36, 2595 (2004).
Why cited here Supports or contextualizes the following controlled claim records: EXT-01 – Euler extraction theorem on conformally flat S⁴; EXT-03 – Standalone Type-A theorem across two de Sitter realisations; GR-01 – Ordinary-GR no-go for a linear compact source.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Introduction”, paragraph “Conventions.”; Sec. “Standard Model evaluation of the extracted datum”
Geometric classification of conformal anomalies in arbitrary dimensions
Why cited here Supports or contextualizes the following controlled claim records: EXT-01 – Euler extraction theorem on conformally flat S⁴; EXT-03 – Standalone Type-A theorem across two de Sitter realisations.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Introduction”, paragraph “Conventions.”; Sec. “Standard Model evaluation of the extracted datum”
Full bibliographic record S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions, Phys. Lett. B 309, 279 (1993).
Why cited here Supports or contextualizes the following controlled claim records: TOP-01 – Normalized Euler-Chern unit on S⁴; SAD-01 – Round-S⁴ Einstein action and Euler-normalized form.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Introduction”, paragraph “Conventions.”; Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Canonical topological cross-check.”
Why cited here Supports or contextualizes the following controlled claim records: TOP-01 – Normalized Euler-Chern unit on S⁴; TOP-02 – Degree-one equatorial clutching map.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One intrinsic Euler–Chern unit on the round sphere”
Why cited here Supports or contextualizes the following controlled claim records: EXT-01 – Euler extraction theorem on conformally flat S⁴; EXT-02 – Euler projector isolates the protected coordinate; EXT-03 – Standalone Type-A theorem across two de Sitter realisations.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Extraction criteria.”
Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories
Why cited here Supports or contextualizes the following controlled claim records: EXT-02 – Euler projector isolates the protected coordinate; CORR-01 – Full interacting curved-space Standard Model coefficient; TEST-02 – Microscopic field-content sensitivity.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Extraction criteria.”; Sec. “Standard Model evaluation of the extracted datum”; Sec. “Correction budget, predictions, and tests”, paragraph “Interacting matter coefficient.”
Full bibliographic record H. Osborn, Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories, Nucl. Phys. B 363, 486–526 (1991).
Full bibliographic record G. Aminov, C. Csáki, O. Telem, and S. Yankielowicz, Non-Abelian and type-A conformal anomalies from Euler descent, JHEP 07, 053 (2026) [arXiv:2601.18892].
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: GR-02 – Trace-free quotient leaves one scalar mode; GS-01 – Four-form global-source completion; GS-04 – Unit compact-to-global source pairing; MAP-01 – Compact response to cosmological curvature map; CMP-02 – Relation to trace-free and sequestering approaches.
Cited at Sec. “Ordinary-GR obstruction and the trace-free quotient”, paragraph “The local equation on the volume-counterterm quotient.”; Sec. “From compact response to cosmological curvature: global-source completion”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record J. C. Feng and P. Chen, Cosmological constant as an integration constant, Eur. Phys. J. C 84, 1331 (2024) [arXiv:2406.00932].
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: GS-01 – Four-form global-source completion; GS-04 – Unit compact-to-global source pairing; MAP-01 – Compact response to cosmological curvature map; CMP-02 – Relation to trace-free and sequestering approaches; CMP-04 – Independent support and structural convergence.
Cited at Sec. “From compact response to cosmological curvature: global-source completion”; Sec. “Discussion”, subsection “Independent structural convergence”
Manifestly local theory of vacuum energy sequestering
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: GS-01 – Four-form global-source completion; GS-04 – Unit compact-to-global source pairing; MAP-01 – Compact response to cosmological curvature map.
Cited at Sec. “From compact response to cosmological curvature: global-source completion”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record N. Kaloper, A. Padilla, D. Stefanyszyn, and G. Zahariade, Manifestly local theory of vacuum energy sequestering, Phys. Rev. Lett. 116, 051302 (2016) [arXiv:1505.01492].
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: GS-04 – Unit compact-to-global source pairing; CMP-02 – Relation to trace-free and sequestering approaches; CMP-04 – Independent support and structural convergence.
Cited at Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record N. Kaloper and A. Padilla, Vacuum Energy Sequestering and Graviton Loops, Phys. Rev. Lett. 118, 061303 (2017) [arXiv:1606.04958].
Why cited here Cited in Sec. “Extraction theorem on conformally flat S⁴”, subsection “Interpretation of the extracted datum.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Interpretation of the extracted datum.”
Full bibliographic record I. Antoniadis, P. O. Mazur, and E. Mottola, Physical states of the quantum conformal factor, Phys. Rev. D 55, 4770 (1997) [hep-th/9509169].
Conformal invariance, dark energy, and CMB non-Gaussianity
Why cited here Cited in Sec. “Extraction theorem on conformally flat S⁴”, subsection “Interpretation of the extracted datum.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Interpretation of the extracted datum.”
Full bibliographic record I. Antoniadis, P. O. Mazur, and E. Mottola, Conformal invariance, dark energy, and CMB non-Gaussianity, J. Cosmol. Astropart. Phys. 09, 024 (2012) [arXiv:1103.4164].
Why cited here Supports or contextualizes the following controlled claim records: SM-01 – Minimal Standard Model Euler coefficient; DET-01 – No canonical absolute determinant constant on round S⁴.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Standard Model evaluation of the extracted datum”; Appendix: “Determinant status of the strict compact weight”
Full bibliographic record E. S. Fradkin and A. A. Tseytlin, Conformal anomaly in Weyl theory and anomaly free superconformal theories, Phys. Lett. B 134, 187 (1984).
Action integrals and partition functions in quantum gravity
Why cited here Supports or contextualizes the following controlled claim records: SAD-01 – Round-S⁴ Einstein action and Euler-normalized form; SAD-06 – Classical strict-channel gravitational factor; INT-04 – Compact action-de Sitter entropy identity.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Round-sphere action.”; Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Canonical topological cross-check.”; Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Path integrals and the indefiniteness of the gravitational action
Why cited here Supports or contextualizes the following controlled claim records: SAD-02 – Decaying compact thimble.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Appendix: “Determinant status of the strict compact weight”
Full bibliographic record G. W. Gibbons, S. W. Hawking, and M. J. Perry, Path integrals and the indefiniteness of the gravitational action, Nucl. Phys. B 138, 141 (1978).
Why cited here Supports or contextualizes the following controlled claim records: SAD-02 – Decaying compact thimble.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Real no-boundary wave function in Lorentzian quantum cosmology
Why cited here Cited in Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”
Full bibliographic record J. Diaz Dorronsoro, J. J. Halliwell, J. B. Hartle, T. Hertog, and O. Janssen, Real no-boundary wave function in Lorentzian quantum cosmology, Phys. Rev. D 96, 043505 (2017).
Full bibliographic record DESI Collaboration, M. Abdul-Karim et al., DESI DR2 results. II. Measurements of baryon acoustic oscillations and cosmological constraints, Phys. Rev. D 112, 083515 (2025) [arXiv:2503.14738].
Full bibliographic record DES Collaboration, T. M. C. Abbott et al., Constraints on dynamical dark energy from multiple probes in the full Dark Energy Survey, arXiv:2605.27221 [astro-ph.CO].
Computation of the quantum effects due to a four-dimensional pseudoparticle
Why cited here Supports or contextualizes the following controlled claim records: IR-01 – Direct Planck-scale mechanisms tested do not supply the linear IR factor.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Standard Model evaluation of the extracted datum”
Investigating the near-criticality of the Higgs boson
Why cited here Supports or contextualizes the following controlled claim records: IR-01 – Direct Planck-scale mechanisms tested do not supply the linear IR factor.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Standard Model evaluation of the extracted datum”
Full bibliographic record D. Buttazzo, G. Degrassi, P. P. Giardino, G. F. Giudice, F. Sala, A. Salvio, and A. Strumia, Investigating the near-criticality of the Higgs boson, JHEP 12, 089 (2013) [arXiv:1307.3536].
Pseudoparticle solutions of the Yang–Mills equations
Why cited here Cited in Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One intrinsic Euler–Chern unit on the round sphere”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One intrinsic Euler–Chern unit on the round sphere”
Full bibliographic record A. A. Belavin, A. M. Polyakov, A. S. Schwarz, and Yu. S. Tyupkin, Pseudoparticle solutions of the Yang–Mills equations, Phys. Lett. B 59, 85–87 (1975), doi:10.1016/0370-2693(75)90163-X.
The Weyl anomaly in interacting quantum field theory on curved spacetimes
Why cited here Provides the explicit locally covariant φ⁴ calculation used as a structural check: after the stated first-order renormalization, the effective second-order interaction contribution to the Euler coefficient vanishes. It also supports the broader interacting-anomaly context for EXT-02, CORR-01 and TEST-02.
Scope of this citation Supports the stated φ⁴ result through second order in the interaction; it does not compute the full interacting curved-space Standard Model coefficient aeff.
Cited at Sec. “Standard Model evaluation of the extracted datum”; Sec. “Correction budget, predictions, and tests”, paragraph “Interacting matter coefficient.”
Full bibliographic record M. B. Fröb and J. Zahn, The Weyl anomaly in interacting quantum field theory on curved spacetimes, Ann. Henri Poincaré (2025), doi:10.1007/s00023-025-01635-2 [arXiv:2504.17854].
The effective theory of gravity and dynamical vacuum energy
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: CMP-04 – Independent support and structural convergence.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Interpretation of the extracted datum.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record E. Mottola, The effective theory of gravity and dynamical vacuum energy, J. High Energy Phys. 11, 037 (2022) [arXiv:2205.04703].
Small Cosmological Constant from the QCD Trace Anomaly?
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Cited in Sec. “Discussion”, subsection “Independent structural convergence”.
Cited at Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record R. Schützhold, Small Cosmological Constant from the QCD Trace Anomaly?, Phys. Rev. Lett. 89, 081302 (2002) [arXiv:gr-qc/0204018].
Why cited here Supports or contextualizes the following controlled claim records: SAD-02 – Decaying compact thimble.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points
Why cited here Cited in Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”
Full bibliographic record M. Honda, H. Matsui, K. Okabayashi, and T. Terada, Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points, Phys. Rev. D 110, 083508 (2024) [arXiv:2402.09981].
Features of the partition function of a Λ > 0 universe
Supports this step Directly supports the round S4 saddle as the leading semiclassical geometry in the four-dimensional Lambda>0 gravitational EFT at leading order. It does not independently derive the selected boundary-member prescription or umax=1 UV-domain endpoint, fix this observable's contour or quantum dressing, establish the QCD state-preparation premise, or validate the numerical benchmark.
Why cited here Supports or contextualizes the following controlled claim records: CMP-04 – Independent support and structural convergence.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Independent saddle support.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record D. Anninos, C. Baracco, S. Brian, and F. Denef, Features of the partition function of a Λ > 0 universe, JHEP 01, 141 (2026) [arXiv:2505.11330].
Full bibliographic record A. Addazi and G. Meluccio, Emergence of gravity’s dynamical and topological sectors from pregeometry, Phys. Rev. D 114, 044056 (2026).
Full bibliographic record M. M. Anber, Gauging the Standard Model 1-form symmetry via gravitational instantons, JHEP 02, 225 (2026) [arXiv:2509.22788].
Cosmological Constant from Quantum Gravitational θ Vacua and the Gravitational Hall Effect
Supports this step Directly supports the primitive large-SU(2)/inverse-cosmological-coupling architecture in exact nonperturbative canonical gravity. It does not independently derive this paper's compact action weight, select the boundary-member prescription, umax=1 or this observable's contour, establish the QCD state-preparation premise, or validate the numerical benchmark.
Why cited here Supports or contextualizes the following controlled claim records: CMP-04 – Independent support and structural convergence.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Canonical topological cross-check.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record S. Alexander, H. Bernardo, and A. Hui, Cosmological Constant from Quantum Gravitational θ Vacua and the Gravitational Hall Effect, Phys. Rev. Lett. 136, 151501 (2026) [arXiv:2506.14886].
Quantum de Sitter and Analytically Continued Chern Simons Theory
Supports this step Directly supports an explicit de Sitter Lefschetz-thimble architecture and anisotropic damping around the symmetric saddle. It does not independently select the boundary-member prescription, this observable's contour or umax=1, fix quantum dressing, establish the QCD state-preparation premise, or validate the numerical benchmark.
Why cited here Supports or contextualizes the following controlled claim records: CMP-04 – Independent support and structural convergence.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record S. Alexander and K. Blakey, Quantum de Sitter and Analytically Continued Chern Simons Theory, arXiv:2608.07467 [hep-th] (2026).
Why cited here Supports or contextualizes the following controlled claim records: DET-01 – No canonical absolute determinant constant on round S⁴; CORR-02 – Quantum gravitational dressing and higher-curvature action shift.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Determinant and higher-curvature status.”; Appendix: “Determinant status of the strict compact weight”
Why cited here Cited in Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record J. B. Hartle and S. W. Hawking, Wave function of the universe, Phys. Rev. D 28, 2960 (1983).
Why cited here Cited in Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Suppressed-thimble clause.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record A. Vilenkin, Quantum creation of universes, Phys. Rev. D 30, 509(R) (1984).
Artificial dynamical effects in quantum field theory
Why cited here Cited in Sec. “The compact-S⁴ vacuum-energy ambiguity”, subsection “Conventions.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact-S⁴ vacuum-energy ambiguity”
Full bibliographic record S. J. Brodsky, A. Deur, and C. D. Roberts, Artificial dynamical effects in quantum field theory, Nature Rev. Phys. 4, 489–495 (2022) [arXiv:2202.06051].
Broken scale invariance and the regularization of a conformal sector in gravity with Wess–Zumino actions
Why cited here Cited in Sec. “Extraction theorem on conformally flat S⁴”, subsection “Interpretation of the extracted datum.”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Extraction theorem on conformally flat S⁴”, paragraph “Interpretation of the extracted datum.”
Full bibliographic record C. Corianò, M. Cretì, and M. M. Maglio, Broken scale invariance and the regularization of a conformal sector in gravity with Wess–Zumino actions, Phys. Lett. B 843, 138003 (2023) [arXiv:2301.07460].
Full bibliographic record C. Bouchard, C. C. Chang, T. Kurth, K. Orginos, and A. Walker-Loud, On the Feynman–Hellmann theorem in quantum field theory and the calculation of matrix elements, Phys. Rev. D 96, 014504 (2017) [arXiv:1612.06963].
Full bibliographic record P. Lowdon, K. Y.-J. Chiu, and S. J. Brodsky, Rigorous constraints on the matrix elements of the energy-momentum tensor, Phys. Lett. B 774, 1–6 (2017) [arXiv:1707.06313].
Full bibliographic record B. Lucini, A. Patella, A. Ramos, and N. Tantalo, Charged hadrons in local finite-volume QED+QCD with C^(⋆) boundary conditions, JHEP 02, 076 (2016) [arXiv:1509.01636].
Full bibliographic record A. Riello, Symplectic reduction of Yang–Mills theory with boundaries: from superselection sectors to edge modes, and back, SciPost Phys. 10, 125 (2021) [arXiv:2010.15894].
Full bibliographic record L. Bushnaq et al. (RC^(⋆) Collaboration), First results on QCD+QED with C^(⋆) boundary conditions, JHEP 03, 012 (2023) [arXiv:2209.13183].
Full bibliographic record F. He, P. Sun, and Y.-B. Yang, Demonstration of the hadron mass origin from the QCD trace anomaly, Phys. Rev. D 104, 074507 (2021) [arXiv:2101.04942].
Full bibliographic record B. Wang, F. He, G. Wang, T. Draper, J. Liang, K.-F. Liu, and Y.-B. Yang, Trace anomaly form factors from lattice QCD, Phys. Rev. D 109, 094504 (2024) [arXiv:2401.05496].
Full bibliographic record M. F. Atiyah, N. J. Hitchin, and I. M. Singer, Self-duality in four-dimensional Riemannian geometry, Proc. R. Soc. Lond. A 362, 425–461 (1978), doi:10.1098/rspa.1978.0143.
Full bibliographic record E. Witten, Current algebra, baryons, and quark confinement, Nucl. Phys. B 223, 433–444 (1983), doi:10.1016/0550-3213(83)90064-0.
Full bibliographic record G. S. Adkins, C. R. Nappi, and E. Witten, Static properties of nucleons in the Skyrme model, Nucl. Phys. B 228, 552–566 (1983), doi:10.1016/0550-3213(83)90559-X.
Why cited here Supports or contextualizes the following controlled claim records: TOP-03 – Explicit degree-one spin-holonomy representative.
Scope of this citation Directly supports the spin-holonomy to Skyrme representative and degree relation used to construct Uspin. It does not independently establish the physical QCD flavour-state identification or the downstream cosmological map.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “The equatorial clutching map has degree one”
Full bibliographic record M. F. Atiyah and N. S. Manton, Skyrmions from instantons, Phys. Lett. B 222, 438–442 (1989), doi:10.1016/0370-2693(89)90340-7.
Why cited here Cited in Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One class-level QCD boundary premise”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One class-level QCD boundary premise”
Full bibliographic record H. Hata, T. Sakai, S. Sugimoto, and S. Yamato, Baryons from instantons in holographic QCD, Prog. Theor. Phys. 117, 1157 (2007) [arXiv:hep-th/0701280].
Why cited here Cited in Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One class-level QCD boundary premise”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One class-level QCD boundary premise”
Full bibliographic record M. F. Atiyah, N. S. Manton, and B. J. Schroers, Geometric models of matter, Proc. R. Soc. A 468, 1252–1279 (2012) [arXiv:1108.5151].
Why cited here Supports or contextualizes the following controlled claim records: TOP-03 – Explicit degree-one spin-holonomy representative.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “The equatorial clutching map has degree one”; Sec. “Intrinsic chiral-spin clutching and the QCD infrared response”, subsection “One class-level QCD boundary premise”
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Full bibliographic record Y. Tanizaki, Anomaly constraint on massless QCD and the role of Skyrmions in chiral symmetry breaking, JHEP 08, 171 (2018) [arXiv:1807.07666].
The physical principle that determines the value of the cosmological constant
Why cited here Cited in Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Canonical topological cross-check.”; Sec. “Discussion”, subsection “Independent structural convergence”.
Scope of this citation Supports the standard result or background statement for which it is cited.
Cited at Sec. “The compact de Sitter saddle weight e-24π²”, paragraph “Canonical topological cross-check.”; Sec. “Discussion”, subsection “Independent structural convergence”
Full bibliographic record T. Padmanabhan, The physical principle that determines the value of the cosmological constant, arXiv:1210.4174 (2012).
Full bibliographic record R. L. Jaffe, “Casimir effect and the quantum vacuum,” Phys. Rev. D 72, 021301(R) (2005), arXiv:hep-th/0503158, doi:10.1103/PhysRevD.72.021301.
Universal entanglement and boundary geometry in conformal field theory
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: EXT-03 – Standalone Type-A theorem across two de Sitter realisations.
Cited at Standalone Type-A theorem / boundary-sector cross-realisation record (claim EXT-03)
Full bibliographic record C. P. Herzog, K.-W. Huang, and K. Jensen, “Universal entanglement and boundary geometry in conformal field theory,” JHEP 01, 162 (2016), arXiv:1510.00021, doi:10.1007/JHEP01(2016)162.
Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: EXT-03 – Standalone Type-A theorem across two de Sitter realisations; CORR-02 – Quantum gravitational dressing and higher-curvature action shift.
Cited at Standalone Type-A theorem / sphere-partition-function cross-realisation record (claim EXT-03); determinant context
Full bibliographic record D. Anninos, F. Denef, Y. T. A. Law, and Z. Sun, “Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions,” JHEP 01, 088 (2022), arXiv:2009.12464, doi:10.1007/JHEP01(2022)088.
Structural convergence Provides a structurally related mechanism or precedent; it is contextual rather than a dependency of the numerical chain.
Why cited here Supports or contextualizes the following controlled claim records: EXT-03 – Standalone Type-A theorem across two de Sitter realisations; CORR-02 – Quantum gravitational dressing and higher-curvature action shift.
Cited at Standalone Type-A theorem / sphere path-integral cross-realisation record (claim EXT-03); determinant context
Full bibliographic record Y. T. Albert Law, “A compendium of sphere path integrals,” JHEP 12, 213 (2021), arXiv:2012.06345, doi:10.1007/JHEP12(2021)213.