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.
Original abstracts are shown only where reuse is permitted. Otherwise the site provides a clearly labelled summary written for this project.
Exports: BibTeX ·
RIS ·
CSL-JSON
Lee 2026, v1.0 Project record
Howard Lee, A compact S4 anomaly channel for the cosmological constant, version 1.0 (2026). doi:10.5281/zenodo.21771695
Why cited here Primary project manuscript supplying the complete derivation, logical-status table, appendices and strict numerical result.
The manuscript is the primary project record; citing it is not independent validation.
Supports- All website claims Project record Primary manuscript: every claim on this site resolves to a record in the version 1.0 paper and the claim register.
Cited in: top, problem, protected-response, calculation, why-these-factors, global-source, status
Site summary Complete full technical manuscript, version 1.0, including all appendices, logical-status tables, endpoint sensitivity tables and the strict numerical construction.
Key: LeeCC2026 · Metadata checked against the v1.0 source paper.
Calabrese et al. 2025 Primary paper
E. Calabrese et al., The Atacama Cosmology Telescope: DR6 constraints on extended cosmological models, arXiv:2503.14454 [astro-ph.CO].
Why cited here Current CMB constraints on extended cosmological models.
SupportsCited in: references or comparison context
Site summary Current CMB constraints on extended cosmological models. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: ACT2025 · Metadata checked against the v1.0 source paper.
Afroz & Mukherjee 2026 Primary paper
Afroz & Mukherjee, Dataset-consistency analysis of evolving dark energy, Phys. Rev. D 113, 083514 (2026), DOI 10.1103/k59d-l795.
Why cited here Supports the statement that the apparent evolving-dark-energy preference can depend on dataset consistency and systematics.
This analysis does not prove that all evolving-dark-energy evidence is spurious.
Supports- TEST-01 Test The completion predicts w = −1 exactly, at all redshifts; persistent cross-dataset, systematics-robust evidence for evolving dark energy would falsify the proposed completion or its identification with the observed acceleration, leaving the extraction theorem intact.
Cited in: status
Site summary Examines consistency between dataset combinations. Used to support calibrated language that significance can depend on consistency and systematics.
Key: AfrozMukherjee2026 · Metadata checked against the v1.0 source paper.
Aminov et al. 2026 Primary paper
G. Aminov et al., Non-Abelian and type-A conformal anomalies from Euler descent, JHEP 07, 053 (2026) [arXiv:2601.18892].
Why cited here Recent Euler-descent treatment providing current context for type-A anomaly cohomology.
Recent Euler-descent results provide context, not an independent derivation of the compact theorem.
Supports- EXT-02 Derived A constant-Weyl projector removes local counterterm contamination and isolates the Euler response.
Cited in: protected-response
Site summary Recent Euler-descent treatment providing current context for type-A anomaly cohomology. It is used for the stated ingredient and not as independent certification of the final result.
Key: Aminov2026 · Metadata checked against the v1.0 source paper.
Antoniadis et al. 1997 Primary paper
I. Antoniadis, P. O. Mazur, and E. Mottola, Physical states of the quantum conformal factor, Phys. Rev. D 55, 4770 (1997) [hep-th/9509169].
Why cited here Source for conformal-factor dynamics and the Paneitz-operator sign context used in the stability caveat.
Supports Contextual source
Site summary Source for conformal-factor dynamics and the Paneitz-operator sign context used in the stability caveat. It is used for the stated ingredient and not as independent certification of the final result.
Key: AMM1997 · Metadata checked against the v1.0 source paper.
Anninos et al. 2022 Primary paper
D. Anninos et al., Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions, JHEP 01, 088 (2022) [arXiv:2009.12464].
Why cited here Sphere and de Sitter one-loop calculations showing nontrivial spin-dependent factors relevant to the source-dependent gravitational dressing of the cap response.
These calculations show nontrivial factors are possible; they do not supply the missing determinant for this model.
Supports- NORM-02 Open calculation The open gravitational corrections are the source-dependent dressing of the cap response and ultraviolet corrections to the primitive action; both are computable tests of the formula.
- CORR-02 Open calculation The principal open gravitational corrections are the source-dependent gravitational dressing and ultraviolet corrections to the primitive action; source-independent factors cancel by construction.
Cited in: why-these-factors, status
Site summary Sphere and de Sitter one-loop calculations showing nontrivial spin-dependent factors relevant to the source-dependent gravitational dressing of the cap response. It is used for the stated ingredient and not as independent certification of the final result.
Key: AnninosDenefLawSun2022 · Metadata checked against the v1.0 source paper.
Appelquist & Carazzone 1975 Primary paper
T. Appelquist and J. Carazzone, Infrared singularities and massive fields, Phys. Rev. D 11, 2856 (1975).
Why cited here Foundational decoupling result used to describe how heavy weakly coupled species leave the active anomaly coefficient.
Decoupling supports the threshold logic but does not quantify the full curved-space determinant.
Supports- TEST-02 Test Additional active weakly coupled fields below the response scale shift the anomaly residue and the strict result once the source-dependent gravitational dressing and ultraviolet-action corrections are controlled.
Cited in: status
Site summary Foundational decoupling result used to describe how heavy weakly coupled species leave the active anomaly coefficient. It is used for the stated ingredient and not as independent certification of the final result.
Key: AppelquistCarazzone1975 · Metadata checked against the v1.0 source paper.
Bhattacharya et al. 2014 Primary data
T. Bhattacharya et al. (HotQCD Collaboration), QCD phase transition with chiral quarks and physical quark masses, Phys. Rev. Lett. 113, 082001 (2014) [arXiv:1402.5175].
Why cited here Physical-mass lattice determination of the QCD crossover temperature used for the 2πTc robustness comparison.
The thermal crossover does not qualify as the selected zero-temperature physical-pole endpoint.
Supports- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
Cited in: why-these-factors, status
Site summary Physical-mass lattice determination of the QCD crossover temperature used for the 2πTc robustness comparison. It is used for the stated ingredient and not as independent certification of the final result.
Key: Bhattacharya2014 · Metadata checked against the v1.0 source paper.
Bianchi & Rovelli 2010 Primary paper
E. Bianchi and C. Rovelli, Why all these prejudices against a constant?, arXiv:1002.3966 (2010).
Why cited here Supports the statement that the zero-point sum renormalises the cosmological term rather than defining an independently observable fluid.
SupportsCited in: references or comparison context
Site summary Supports the statement that the zero-point sum renormalises the cosmological term rather than defining an independently observable fluid. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: BianchiRovelli2010 · Metadata checked against the v1.0 source paper.
Birrell & Davies 1982 Primary text
N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge University Press, Cambridge (1982).
Why cited here Standard reference for renormalisation and quantum field theory on curved backgrounds.
It does not establish the new extraction theorem or strict compact mechanism.
Supports- VAC-01 Standard input Absolute zero-point energy is not by itself a scheme-independent observable.
- EXT-01 Derived Within the stated compact response class, one nonzero universal matter datum survives: the type-A Euler anomaly coefficient.
Cited in: problem, protected-response
Site summary Standard monograph on quantum fields in curved spacetime. Used for the renormalised stress tensor, local curvature counterterms and the conventional treatment of vacuum-energy ambiguities.
Key: BirrellDavies1982 · Metadata checked against the v1.0 source paper.
Bollweg et al. 2026 Primary paper
D. Bollweg et al., Lattice-QCD validation of hadron mass and trace-anomaly decomposition sum rules, Phys. Rev. Lett., accepted (2026), doi:10.1103/5n46-717z [arXiv:2601.13070].
Why cited here Recent first-principles validation of hadron mass and trace-anomaly decomposition relations.
Mass-decomposition validation does not select the proton endpoint.
Supports- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
Cited in: why-these-factors
Site summary Recent first-principles validation of hadron mass and trace-anomaly decomposition relations. It is used for the stated ingredient and not as independent certification of the final result.
Key: BollwegEtAl2026 · Metadata checked against the v1.0 source paper.
Bousso & Polchinski 2000 Primary paper
R. Bousso and J. Polchinski, Quantization of four-form fluxes and dynamical neutralization of the cosmological constant, JHEP 06, 006 (2000).
Why cited here Foundational flux-landscape mechanism used in the comparison section.
SupportsCited in: references or comparison context
Site summary Foundational flux-landscape mechanism used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Bousso2000 · Metadata checked against the v1.0 source paper.
Brown 1977 Primary paper
L. S. Brown, Stress-tensor trace anomaly in a gravitational metric: scalar fields, Phys. Rev. D 15, 1469–1483 (1977).
Why cited here Foundational scalar-field trace-anomaly calculation used in the per-field coefficient context.
Supports Contextual source
Site summary Foundational scalar-field trace-anomaly calculation used in the per-field coefficient context. It is used for the stated ingredient and not as independent certification of the final result.
Key: Brown1977 · Metadata checked against the v1.0 source paper.
Buttazzo et al. 2013 Primary paper
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, J. High Energy Phys. 12, 089 (2013) [arXiv:1307.3536].
Why cited here Source for Standard Model running and high-scale couplings used in the correction estimate.
SupportsCited in: references or comparison context
Site summary Source for Standard Model running and high-scale couplings used in the correction estimate. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Buttazzo2013 · Metadata checked against the v1.0 source paper.
Capper & Duff 1974 Primary paper
D. M. Capper and M. J. Duff, Trace anomalies in dimensional regularization, Nuovo Cimento A 23, 173 (1974).
Why cited here Early dimensional-regularisation calculation grounding the trace-anomaly convention.
Supports Contextual source
Site summary Early dimensional-regularisation calculation grounding the trace-anomaly convention. It is used for the stated ingredient and not as independent certification of the final result.
Key: CapperDuff1974 · Metadata checked against the v1.0 source paper.
Casimir 1948 Primary paper
H. B. G. Casimir, On the attraction between two perfectly conducting plates, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
Why cited here Foundational source for the measurable Casimir energy difference used to distinguish differences from absolute offsets.
SupportsCited in: references or comparison context
Site summary Foundational source for the measurable Casimir energy difference used to distinguish differences from absolute offsets. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Casimir1948 · Metadata checked against the v1.0 source paper.
Chen et al. 2025 Primary paper
Y. Chen, D. Stanford, H. Tang, and Z. Yang, On the phase of the de Sitter density of states, arXiv:2511.01400 [hep-th].
Why cited here Recent work on de Sitter density-of-states phases relevant to the open determinant/Stokes factor.
Supports Contextual source
Site summary Recent work on de Sitter density-of-states phases relevant to the open determinant/Stokes factor. It is used for the stated ingredient and not as independent certification of the final result.
Key: ChenStanfordTangYang2025 · Metadata checked against the v1.0 source paper.
Chern 1945 Mathematical foundation
S.-S. Chern, On the curvatura integra in a Riemannian manifold, Ann. Math. 46, 674-684 (1945).
Why cited here Establishes the Chern-Gauss-Bonnet theorem used for the compact Euler characteristic and the topological reading of the boundary exponent.
A mathematical identity; it does not select the gravitational sector or its boundary unit.
Supports- SAD-01 Derived At the specified Planck-curvature representative, the round-S⁴ saddle has tree-level action magnitude B = 24π².
Site summary Establishes the Chern-Gauss-Bonnet theorem used for the compact Euler characteristic and the topological reading of the boundary exponent.
Key: Chern1945 · Metadata checked against the v1.0 source paper.
Christensen & Duff 1980 Primary paper
S. M. Christensen and M. J. Duff, Quantizing gravity with a cosmological constant, Nucl. Phys. B 170, 480 (1980).
Why cited here Source for free-field anomaly coefficients in curved spacetime.
SupportsCited in: references or comparison context
Site summary Source for free-field anomaly coefficients in curved spacetime. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Christensen1980 · Metadata checked against the v1.0 source paper.
Coleman 1988 Primary paper
S. Coleman, Why there is nothing rather than something: A theory of the cosmological constant, Nucl. Phys. B 310, 643 (1988).
Why cited here Classic Euclidean/wormhole proposal used in the comparison section.
SupportsCited in: references or comparison context
Site summary Classic Euclidean/wormhole proposal used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Coleman1988 · Metadata checked against the v1.0 source paper.
Cortês & Liddle 2025 Primary paper
M. Cortês and A. R. Liddle, On DESI's DR2 exclusion of CDM, arXiv:2504.15336 [astro-ph.CO].
Why cited here Critical analysis of the DESI DR2 LambdaCDM exclusion claim.
SupportsCited in: references or comparison context
Site summary Critical analysis of the DESI DR2 LambdaCDM exclusion claim. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: CortesLiddle2025 · Metadata checked against the v1.0 source paper.
Dorronsoro et al. 2017 Technical foundation
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).
Why cited here Documents the contour dependence of no-boundary saddle weights in Lorentzian quantum cosmology, part of the motivation for declaring the thimble and orientation.
Does not select the strict channel's contour; it evidences that a contour must be declared.
Supports- SAD-02 Selected The strict channel selects the suppressed compact S⁴ thimble: the damped weight e^(-B) = e⁻²⁴π².
Site summary Documents the contour dependence of no-boundary saddle weights in Lorentzian quantum cosmology, part of the motivation for declaring the thimble and orientation.
Key: DDHHHT2017 · Metadata checked against the v1.0 source paper.
Degrassi et al. 2012 Primary paper
G. Degrassi, S. Di Vita, J. Elias-Miró, J. R. Espinosa, G. F. Giudice, G. Isidori and A. Strumia, Higgs mass and vacuum stability in the Standard Model at NNLO, J. High Energy Phys. 08, 098 (2012) [arXiv:1205.6497].
Why cited here Source for Standard Model high-scale consistency and electroweak vacuum-stability context.
SupportsCited in: references or comparison context
Site summary Source for Standard Model high-scale consistency and electroweak vacuum-stability context. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Degrassi2012 · Metadata checked against the v1.0 source paper.
DES 2026 Primary paper
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].
Why cited here Full Dark Energy Survey multi-probe result cited in the evolving-dark-energy status discussion.
SupportsCited in: references or comparison context
Site summary Full Dark Energy Survey multi-probe result cited in the evolving-dark-energy status discussion. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: DES2026 · Metadata checked against the v1.0 source paper.
Deser & Schwimmer 1993 Primary paper
S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions, Phys. Lett. B 309, 279 (1993).
Why cited here Supports the cohomological classification of conformal anomalies.
It classifies conformal anomalies generally; it does not prove the compact counterterm-by-counterterm theorem.
Supports- EXT-01 Derived Within the stated compact response class, one nonzero universal matter datum survives: the type-A Euler anomaly coefficient.
Cited in: protected-response
Site summary Foundational cohomological classification of conformal anomalies. Supports the distinction between Euler and Weyl cocycles underlying the extraction argument.
Key: Deser1993 · Metadata checked against the v1.0 source paper.
DESI 2025 Primary paper
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].
Why cited here Primary DESI DR2 cosmological-constraint source for the dated w-status discussion.
A dataset-dependent preference is not by itself a decisive falsification of asymptotic w=-1.
Supports- TEST-01 Test The completion predicts w = −1 exactly, at all redshifts; persistent cross-dataset, systematics-robust evidence for evolving dark energy would falsify the proposed completion or its identification with the observed acceleration, leaving the extraction theorem intact.
Cited in: status
Site summary Primary DESI DR2 BAO and cosmological-constraint release. Used in the dated observational-status panel.
Key: DESIDR2 · Metadata checked against the v1.0 source paper.
Dowker & Critchley 1977 Primary paper
J. S. Dowker and R. Critchley, Stress-tensor conformal anomaly for scalar, spinor, and vector fields, Phys. Rev. D 16, 3390–3403 (1977).
Why cited here Foundational calculation of conformal anomalies across the field spins used in the Standard Model census.
Supports Contextual source
Site summary Foundational calculation of conformal anomalies across the field spins used in the Standard Model census. It is used for the stated ingredient and not as independent certification of the final result.
Key: DowkerCritchley1977 · Metadata checked against the v1.0 source paper.
Duff 1994 Review
M. J. Duff, Twenty years of the Weyl anomaly, Class. Quant. Grav. 11, 1387 (1994).
Why cited here Canonical review of the four-dimensional Weyl anomaly and the a/c convention used in the paper.
The review does not derive this paper's class-relative uniqueness theorem or global completion.
Supports- EXT-01 Derived Within the stated compact response class, one nonzero universal matter datum survives: the type-A Euler anomaly coefficient.
- SM-01 Derived For the minimal Standard Model free-field census, the protected type-A coefficient is a_SM = 1991/720.
- GR-01 Derived Ordinary local anomaly backreaction has the wrong scaling: it produces an H⁴ stress, not the required small linear-curvature branch.
Cited in: protected-response, global-source
Site summary Canonical review of four-dimensional Weyl anomalies. Used for the type-A/type-B convention, free-field coefficients and standard relation between anomaly data and curvature invariants.
Key: Duff1994 · Metadata checked against the v1.0 source paper.
Ferrero et al. 2024 Primary paper
R. Ferrero et al., Universal definition of the nonconformal trace anomaly, Phys. Rev. Lett. 132, 071601 (2024) [arXiv:2312.07666].
Why cited here Modern treatment of trace anomalies away from exact conformal coupling, used to support the scalar-sector scope and nonminimal-coupling discussion.
Supports Contextual source
Site summary Modern treatment of trace anomalies away from exact conformal coupling, used to support the scalar-sector scope and nonminimal-coupling discussion. It is used for the stated ingredient and not as independent certification of the final result.
Key: Ferrero2024 · Metadata checked against the v1.0 source paper.
Feldbrugge et al. 2017 Technical foundation
J. Feldbrugge, J.-L. Lehners, and N. Turok, Lorentzian quantum cosmology, Phys. Rev. D 95, 103508 (2017).
Why cited here Picard-Lefschetz analysis of the minisuperspace path integral showing saddle weights depend on the integration contour, part of the motivation for the declared thimble.
Does not select the strict channel's contour; it evidences that a contour must be declared.
Supports- SAD-02 Selected The strict channel selects the suppressed compact S⁴ thimble: the damped weight e^(-B) = e⁻²⁴π².
Site summary Picard-Lefschetz analysis of the minisuperspace path integral showing saddle weights depend on the integration contour, part of the motivation for the declared thimble.
Key: FLT2017 · Metadata checked against the v1.0 source paper.
Fradkin & Tseytlin 1984 Primary paper
E. S. Fradkin and A. A. Tseytlin, Conformal anomaly in Weyl theory and anomaly free superconformal theories, Phys. Lett. B 134, 187 (1984).
Why cited here Source for free-field conformal anomaly coefficients.
SupportsCited in: references or comparison context
Site summary Source for free-field conformal anomaly coefficients. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Fradkin1984 · Metadata checked against the v1.0 source paper.
Fröb & Zahn 2025 Primary paper
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].
Why cited here Current interacting-QFT result used to motivate the matter-interaction correction discussion.
SupportsCited in: references or comparison context
Site summary Current interacting-QFT result used to motivate the matter-interaction correction discussion. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Frob2025 · Metadata checked against the v1.0 source paper.
Gibbons & Hawking 1977 Primary paper
G. W. Gibbons and S. W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15, 2752 (1977).
Why cited here Foundational source for compact Euclidean gravitational saddle actions and partition functions.
It does not select the suppressed contour, the exact boundary unit or the source-dependent dressing of the cap response.
Supports- SAD-01 Derived At the specified Planck-curvature representative, the round-S⁴ saddle has tree-level action magnitude B = 24π².
Cited in: calculation, why-these-factors
Site summary Foundational Euclidean gravitational path-integral treatment. Used for the on-shell compact de Sitter action and leading-saddle interpretation of the exponential.
Key: GH1977 · Metadata checked against the v1.0 source paper.
Gibbons et al. 1978 Primary paper
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 Foundational contour and conformal-factor context for the selected damped compact gravitational saddle.
The contour context does not uniquely select the suppressed thimble used here.
Supports- SAD-02 Selected The strict channel selects the suppressed compact S⁴ thimble: the damped weight e^(-B) = e⁻²⁴π².
- SAD-05 Derived The declared Planck boundary, not the sign of the anomaly coefficient, makes the reduced thimble integral finite.
Cited in: why-these-factors
Site summary Foundational contour and conformal-factor context for the selected damped compact gravitational saddle. It is used for the stated ingredient and not as independent certification of the final result.
Key: GHP1978 · Metadata checked against the v1.0 source paper.
Giacchini et al. 2022 Primary paper
B. L. Giacchini, T. de Paula Netto, and I. L. Shapiro, Effective quantum gravity, cosmological constant and the Standard Model of particle physics, Phys. Rev. D 105, 126025 (2022) [arXiv:2112.06314].
Why cited here Effective-gravity analysis connecting Standard Model assumptions to cosmological-constant questions and conditional BSM sensitivities.
The effective-gravity analysis is comparison context and not evidence for the compact source map.
Supports- TEST-02 Test Additional active weakly coupled fields below the response scale shift the anomaly residue and the strict result once the source-dependent gravitational dressing and ultraviolet-action corrections are controlled.
- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: status, comparisons
Site summary Effective-gravity analysis connecting Standard Model assumptions to cosmological-constant questions and conditional BSM sensitivities. It is used for the stated ingredient and not as independent certification of the final result.
Key: GiacchiniShapiro2022 · Metadata checked against the v1.0 source paper.
Giombi & Sun 2026 Primary paper
S. Giombi and Z. Sun, The phase of de Sitter higher spin gravity, arXiv:2601.15257 [hep-th].
Why cited here Current phase calculation illustrating that nontrivial de Sitter prefactors and phases are calculable.
Supports Contextual source
Site summary Current phase calculation illustrating that nontrivial de Sitter prefactors and phases are calculable. It is used for the stated ingredient and not as independent certification of the final result.
Key: GiombiSun2026 · Metadata checked against the v1.0 source paper.
Gross & Wilczek 1973 Primary paper
D. J. Gross and F. Wilczek, Ultraviolet behavior of non-Abelian gauge theories, Phys. Rev. Lett. 30, 1343 (1973).
Why cited here Foundational asymptotic-freedom result underlying QCD dimensional transmutation.
Asymptotic freedom does not select the proton endpoint or establish its gravitational role.
Supports- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
Cited in: calculation, why-these-factors
Site summary Foundational asymptotic-freedom result supporting QCD dimensional transmutation as the origin of a non-perturbatively generated infrared scale.
Key: GrossWilczek1973 · Metadata checked against the v1.0 source paper.
Hawking 1984 Primary paper
S. W. Hawking, The cosmological constant is probably zero, Phys. Lett. B 134, 403 (1984).
Why cited here Classic Euclidean proposal for the cosmological constant used in the comparison section.
SupportsCited in: references or comparison context
Site summary Classic Euclidean proposal for the cosmological constant used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Hawking1984 · Metadata checked against the v1.0 source paper.
Henneaux & Teitelboim 1989 Primary paper
M. Henneaux and C. Teitelboim, The cosmological constant and general covariance, Phys. Lett. B 222, 195 (1989).
Why cited here Foundational global-variable formulation related to the proposed four-form source action.
It does not contain the paper's Wess-Zumino source dictionary or calculate the residual value.
Supports- GS-01 Proposed A proposed compact global-source action supplies the scalar-curvature mode omitted by the trace-free local equation.
- GS-02 Derived Once the global-source action is adopted, its variations fix the residual curvature and cancel homogeneous vacuum shifts.
Cited in: global-source
Site summary Foundational generally covariant formulation using global variables and a four-form. Supplies structural precedent for the proposed action.
Key: HenneauxTeitelboim1989 · Metadata checked against the v1.0 source paper.
Hiller et al. 2024 Primary paper
G. Hiller et al., Vacuum stability in the Standard Model and beyond, Phys. Rev. D 110, 115017 (2024) [arXiv:2401.08811].
Why cited here Current high-scale Standard Model and BSM vacuum-stability context used in the evaluation-scale discussion.
Vacuum-stability analysis provides scale context, not a direct cosmological exclusion.
Supports- TEST-02 Test Additional active weakly coupled fields below the response scale shift the anomaly residue and the strict result once the source-dependent gravitational dressing and ultraviolet-action corrections are controlled.
Cited in: status
Site summary Current high-scale Standard Model and BSM vacuum-stability context used in the evaluation-scale discussion. It is used for the stated ingredient and not as independent certification of the final result.
Key: HillerHohneLitimSteudtner2024 · Metadata checked against the v1.0 source paper.
Hollands & Wald 2004 Primary paper
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 the scheme-dependent status of absolute vacuum energy in semiclassical gravity.
It supports the scheme-dependent status of absolute vacuum energy, not the Euler extraction theorem or cosmological map.
Supports- VAC-01 Standard input Absolute zero-point energy is not by itself a scheme-independent observable.
Cited in: problem
Site summary Used to ground the statement that curved-spacetime QFT does not assign regulator-independent physical meaning to an absolute zero-point fluid. The compact same-operator argument is the paper's sharper application.
Key: HollandsWald2004 · Metadata checked against the v1.0 source paper.
Jack & Poole 2015 Primary paper
I. Jack and C. Poole, The a-function for gauge theories, JHEP 01, 138 (2015) [arXiv:1411.1301].
Why cited here Scheme-invariant analysis used for the order and size of interaction corrections to the physical a coefficient.
Supports Contextual source
Site summary Scheme-invariant analysis used for the order and size of interaction corrections to the physical a coefficient. It is used for the stated ingredient and not as independent certification of the final result.
Key: JackPoole2015 · Metadata checked against the v1.0 source paper.
Jacobson 1995 Comparison family
T. Jacobson, Thermodynamics of spacetime: the Einstein equation of state, Phys. Rev. Lett. 75, 1260 (1995).
Why cited here Foundational reference for the thermodynamic reading of the gravitational field equations discussed in the comparison section.
Does not derive the compact construction; the overlap with thermodynamic approaches is structural.
Supports Contextual source
Cited in: comparisons
Site summary Foundational reference for the thermodynamic reading of the gravitational field equations discussed in the comparison section.
Key: Jacobson1995 · Metadata checked against the v1.0 source paper.
Jacobson & Visser 2022 Primary paper
T. Jacobson and M. R. Visser, Partition function for a volume of space, Phys. Rev. Lett. 130, 221501 (2023) [arXiv:2212.10607].
Why cited here Finite-volume gravitational thermodynamics context for the saddle-action/de Sitter-entropy identity.
Supports Contextual source
Site summary Finite-volume gravitational thermodynamics context for the saddle-action/de Sitter-entropy identity. It is used for the stated ingredient and not as independent certification of the final result.
Key: JacobsonVisser2022 · Metadata checked against the v1.0 source paper.
Jaffe 2005 Primary paper
R. L. Jaffe, Casimir effect and the quantum vacuum, Phys. Rev. D 72, 021301 (2005).
Why cited here Provides the alternative interaction-based interpretation of Casimir forces cited in the scope discussion.
SupportsCited in: references or comparison context
Site summary Provides the alternative interaction-based interpretation of Casimir forces cited in the scope discussion. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Jaffe2005 · Metadata checked against the v1.0 source paper.
Ji 1995 Primary paper
X.-D. Ji, Breakup of hadron masses and energy-momentum tensor of QCD, Phys. Rev. D 52, 271-281 (1995) [hep-ph/9502213].
Why cited here Supports the energy-momentum-tensor and trace-anomaly description of hadron mass.
Hadron mass decomposition does not prove that the proton must be the gravitational endpoint.
Supports- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
Cited in: why-these-factors
Site summary Develops the energy-momentum-tensor decomposition of hadron mass and the role of trace dynamics. Supports the interpretation of the proton mass as predominantly generated by QCD.
Key: Ji1995 · Metadata checked against the v1.0 source paper.
Jirousek 2023 Review
P. Jirousek, Unimodular approaches to the cosmological constant problem, Universe 9, 131 (2023) [arXiv:2301.01662].
Why cited here Modern review of unimodular approaches used in the comparison section.
It surveys unimodular approaches; it does not establish this global-source completion.
Supports- GR-02 Derived Removing the volume-counterterm representative leaves a unique trace-free local equation and one undetermined scalar-curvature mode.
- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: global-source, comparisons
Site summary Modern review of unimodular approaches. Used to compare the local trace-free equation and unresolved residual value.
Key: Jirousek2023 · Metadata checked against the v1.0 source paper.
Kaloper & Padilla 2014 Primary paper
N. Kaloper and A. Padilla, Sequestering the Standard Model vacuum energy, Phys. Rev. Lett. 112, 091304 (2014).
Why cited here Primary vacuum-energy sequestering reference used for comparison and structural context.
Sequestering does not derive the compact anomaly response or its source-charge convention.
Supports- GS-01 Proposed A proposed compact global-source action supplies the scalar-curvature mode omitted by the trace-free local equation.
- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: global-source, comparisons
Site summary Foundational vacuum-energy sequestering proposal. Used to compare mechanisms that cancel homogeneous vacuum shifts through global constraints.
Key: KaloperPadilla2014 · Metadata checked against the v1.0 source paper.
Kaloper et al. 2016 Primary paper
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].
Why cited here Primary manifestly local sequestering reference related to the four-form implementation.
The manifestly local construction does not imply this specific source action.
Supports- GS-01 Proposed A proposed compact global-source action supplies the scalar-curvature mode omitted by the trace-free local equation.
- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: global-source, comparisons
Site summary Manifestly local four-form implementation of sequestering. Used as close structural context for global constraints without new local propagating degrees of freedom.
Key: KaloperPadillaStefanyszynZahariade2016 · Metadata checked against the v1.0 source paper.
Khoury et al. 2026 Primary paper
J. Khoury, B. Muntz, and A. Padilla, A lapse in the cosmological constant problem, arXiv:2604.08659 [hep-th] (2026).
Why cited here Recent global-constraint approach used in the comparison with lapse-generated cosmological-constant mechanisms.
The lapse-generated constraint is a comparison family, not a derivation of this global-source action.
Supports- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: comparisons
Site summary Recent global-constraint approach used in the comparison with lapse-generated cosmological-constant mechanisms. It is used for the stated ingredient and not as independent certification of the final result.
Key: KhouryMuntzPadilla2026 · Metadata checked against the v1.0 source paper.
Larue et al. 2023 Primary paper
R. Larue, J. Quevillon, and R. Zwicky, Trace anomaly of Weyl fermions via the path integral, JHEP 12, 064 (2023) [arXiv:2309.08670].
Why cited here Modern path-integral check of the Weyl-fermion trace-anomaly coefficient.
Supports Contextual source
Site summary Modern path-integral check of the Weyl-fermion trace-anomaly coefficient. It is used for the stated ingredient and not as independent certification of the final result.
Key: LarueQuevillonZwicky2023 · Metadata checked against the v1.0 source paper.
Law 2021 Review
Y. T. A. Law, A compendium of sphere path integrals, JHEP 12, 213 (2021) [arXiv:2012.06345].
Why cited here Reference collection for sphere path integrals and determinant factors relevant to the omitted complete saddle calculation.
The compendium does not determine the source-dependent gravitational dressing of the cap response.
Supports- NORM-02 Open calculation The open gravitational corrections are the source-dependent dressing of the cap response and ultraviolet corrections to the primitive action; both are computable tests of the formula.
- CORR-02 Open calculation The principal open gravitational corrections are the source-dependent gravitational dressing and ultraviolet corrections to the primitive action; source-independent factors cancel by construction.
Cited in: why-these-factors, status
Site summary Reference collection for sphere path integrals and determinant factors relevant to the omitted complete saddle calculation. It is used for the stated ingredient and not as independent certification of the final result.
Key: Law2021 · Metadata checked against the v1.0 source paper.
Lee 2026 Project record
Howard Lee, The Universal Local de Sitter Anomaly Channel Is Uniquely Type A, version 2.0 (2026). Author-released preprint, Zenodo. doi:10.5281/zenodo.21809544.
Why cited here Cited for the theorem that the closed-sphere and observer-horizon descriptions of de Sitter space share one protected local matter coefficient: the type-A Euler coefficient. This supplies the matter-side reason for the a_SM factor used by the construction.
The theorem classifies a restricted local logarithmic quantum-response channel, not every effect of quantum matter in de Sitter space. It does not determine the proton matching, the gravitational saddle, the complete horizon theory or the gravity-side rule that sets Lambda.
Supports- EXT-03 Derived Within the protected local anomaly-response sector studied in Paper II, the closed-sphere and static-patch descriptions of de Sitter share one convention-independent matter coefficient: the type-A Euler coefficient a. For the minimal Standard Model free-field census, a_SM = 1991/720.
Site summary Standalone theorem paper: classifies the parity-even fixed-point local logarithmic anomaly response common to the closed S4 saddle and the round static-patch horizon and identifies the type-A coefficient as its unique microscopic QFT coordinate. The cosmological-constant construction is one application. It is used for the stated theorem and not as independent certification of the numerical result.
Key: LeeTypeA2026 · Metadata checked against the v1.0 source paper.
Lehners 2023 Review
J.-L. Lehners, Review of the no-boundary wave function, Phys. Rep. 1022, 1 (2023) [arXiv:2303.08802].
Why cited here Current review of the no-boundary wave-function and contour debate.
The review does not endorse the particular suppressed orientation adopted here.
Supports- SAD-02 Selected The strict channel selects the suppressed compact S⁴ thimble: the damped weight e^(-B) = e⁻²⁴π².
Cited in: why-these-factors
Site summary Review of the no-boundary wave function and contour debate. Used to locate the selected thimble within the unresolved quantum-cosmology literature.
Key: Lehners2023 · Metadata checked against the v1.0 source paper.
Maldacena 2024 Primary paper
J. Maldacena, Real observers solving imaginary problems, arXiv:2412.14014 [hep-th].
Why cited here Recent discussion of phases and interpretations in de Sitter path integrals relevant to the open source-dependent dressing of the cap response.
Supports Contextual source
Site summary Recent discussion of phases and interpretations in de Sitter path integrals relevant to the open source-dependent dressing of the cap response. It is used for the stated ingredient and not as independent certification of the final result.
Key: Maldacena2024 · Metadata checked against the v1.0 source paper.
Mazur & Mottola 1990 Primary paper
P. O. Mazur and E. Mottola, The path integral measure, conformal factor problem and stability of the ground state of quantum gravity, Nucl. Phys. B 341, 187 (1990).
Why cited here Source for the conformal-factor measure and stabilising sign context used in the zero-mode and Paneitz discussion.
The conformal-factor analysis does not select the contour or establish complete metric/ghost control.
Supports- SAD-05 Derived The declared Planck boundary, not the sign of the anomaly coefficient, makes the reduced thimble integral finite.
Cited in: why-these-factors
Site summary Source for the conformal-factor measure and stabilising sign context used in the zero-mode and Paneitz discussion. It is used for the stated ingredient and not as independent certification of the final result.
Key: MazurMottola1990 · Metadata checked against the v1.0 source paper.
Morningstar & Peardon 1999 Primary paper
C. J. Morningstar and M. Peardon, The glueball spectrum from an anisotropic lattice study, Phys. Rev. D 60, 034509 (1999) [hep-lat/9901004].
Why cited here Source for the quoted pure-Yang–Mills 0++ scale used as a non-eligible endpoint proxy.
A pure-Yang–Mills glueball scale is not a full-Standard-Model stable asymptotic pole.
Supports- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
Cited in: why-these-factors, status
Site summary Source for the quoted pure-Yang–Mills 0++ scale used as a non-eligible endpoint proxy. It is used for the stated ingredient and not as independent certification of the final result.
Key: MorningstarPeardon1999 · Metadata checked against the v1.0 source paper.
Mottola 2022 Review
E. Mottola, The effective theory of gravity and dynamical vacuum energy, JHEP 11, 037 (2022) [arXiv:2205.04703].
Why cited here Modern anomaly-gravity context for nonlocal Wess–Zumino representatives and dynamical vacuum energy.
Supports Contextual source
Site summary Modern anomaly-gravity context for nonlocal Wess–Zumino representatives and dynamical vacuum energy. It is used for the stated ingredient and not as independent certification of the final result.
Key: Mottola2022 · Metadata checked against the v1.0 source paper.
Osborn 1991 Primary paper
H. Osborn, Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories, Nucl. Phys. B 363, 486–526 (1991).
Why cited here Foundational local-RG framework used for the running-theory Euler-cocycle projection and beta-function/operator-mixing separation.
The local-RG framework does not prove the compact extraction theorem by itself.
Supports- EXT-02 Derived A constant-Weyl projector removes local counterterm contamination and isolates the Euler response.
Cited in: protected-response
Site summary Foundational local-RG framework used for the running-theory Euler-cocycle projection and beta-function/operator-mixing separation. It is used for the stated ingredient and not as independent certification of the final result.
Key: Osborn1991 · Metadata checked against the v1.0 source paper.
Padmanabhan 2012 Comparison family
T. Padmanabhan, The physical principle that determines the value of the cosmological constant, arXiv:1210.4174 [hep-th].
Why cited here Source of the mode-count formula whose numerical form parallels the strict result; the comparison panel states why the shared form is neither precedence nor corroboration.
The shared coefficient 24 pi^2 is a structural parallel; neither construction derives or corroborates the other.
Supports Contextual source
Cited in: comparisons
Site summary Phase-space count of Hubble-crossing modes through cosmic history; distinct calculational objects from the compact channel.
Key: Padmanabhan2012 · Metadata checked against the v1.0 source paper.
Padmanabhan & Padmanabhan 2013 Comparison family
H. Padmanabhan and T. Padmanabhan, CosMIn: The solution to the cosmological constant problem, Int. J. Mod. Phys. D 22, 1342001 (2013) [arXiv:1302.3226].
Why cited here Representative emergent-gravity proposal tying the cosmological constant to horizon-information counting, cited for the thermodynamic and emergent-gravity comparison.
Its mechanism is not used by the strict channel; the comparison is structural.
Supports Contextual source
Cited in: comparisons
Site summary Representative emergent-gravity proposal tying the cosmological constant to horizon-information counting, cited for the thermodynamic and emergent-gravity comparison.
Key: PadmanabhanCosMIn2013 · Metadata checked against the v1.0 source paper.
Brout et al. 2022 Primary paper
D. Brout et al., The Pantheon+ analysis: cosmological constraints, Astrophys. J. 938, 110 (2022) [arXiv:2202.04077].
Why cited here Primary supernova cosmology source entering current dark-energy constraints.
SupportsCited in: references or comparison context
Site summary Primary supernova cosmology source entering current dark-energy constraints. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: PantheonPlus2022 · Metadata checked against the v1.0 source paper.
PDG 2026 Official data
F. Takahashi et al. (Particle Data Group), Review of Particle Physics, Int. J. Mod. Phys. A 41, 2630011 (2026).
Why cited here Authoritative 2026 particle-data source for the proton mass, Planck mass convention, particle content and stability assignments.
The data source does not select the compact channel or endpoint criteria.
Supports- SM-01 Derived For the minimal Standard Model free-field census, the protected type-A coefficient is a_SM = 1991/720.
- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
- TEST-02 Test Additional active weakly coupled fields below the response scale shift the anomaly residue and the strict result once the source-dependent gravitational dressing and ultraviolet-action corrections are controlled.
Cited in: protected-response, calculation, why-these-factors, status
Site summary Authoritative 2026 particle-data source for the proton mass, Planck mass convention, particle content and stability assignments. It is used for the stated ingredient and not as independent certification of the final result.
Key: PDG2026 · Metadata checked against the v1.0 source paper.
Percacci 2018 Primary paper
R. Percacci, Unimodular quantum gravity and the cosmological constant, Found. Phys. 48, 1364-1379 (2018) [arXiv:1712.09903].
Why cited here Reference for unimodular gravity and the integration-constant form of the cosmological term.
The review does not fix the integration constant or endorse the compact source.
Supports- GR-02 Derived Removing the volume-counterterm representative leaves a unique trace-free local equation and one undetermined scalar-curvature mode.
- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: global-source, comparisons
Site summary Review of unimodular quantum gravity. Used to situate the trace-free quotient and residual scalar integration constant.
Key: Percacci2018 · Metadata checked against the v1.0 source paper.
Perlmutter et al. 1999 Observational record
S. Perlmutter et al., Measurements of Omega and Lambda from 42 high-redshift supernovae, Astrophys. J. 517, 565-586 (1999) [astro-ph/9812133].
Why cited here Discovery record: one of the two 1998-99 supernova analyses that established the accelerating expansion attributed to a positive cosmological constant.
The site's numerical comparison uses the Planck 2018 flat-LambdaCDM-inferred value, not these measurements directly.
Supports Contextual source
Site summary Discovery record: one of the two 1998-99 supernova analyses that established the accelerating expansion attributed to a positive cosmological constant.
Key: Perlmutter1999 · Metadata checked against the v1.0 source paper.
Planck 2018 Primary paper
Planck Collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020) [arXiv:1807.06209].
Why cited here Provides the cosmological parameters used for the observed Lambda comparison.
The data supply the measured value; they do not quantify theoretical systematics of the compact channel.
Supports- OBS-01 Standard input Planck 2018 flat-ΛCDM-inferred value: 2.85 × 10⁻¹²².
Cited in: top, calculation, status
Site summary Primary cosmological-parameter source used for the dimensionless observed cosmological constant and quoted observational uncertainty.
Key: Planck2018 · Metadata checked against the v1.0 source paper.
Politzer 1973 Primary paper
H. D. Politzer, Reliable perturbative results for strong interactions?, Phys. Rev. Lett. 30, 1346 (1973).
Why cited here Foundational asymptotic-freedom result underlying QCD dimensional transmutation.
It does not determine which physical hadronic pole represents the endpoint.
Supports- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
Cited in: calculation, why-these-factors
Site summary Independent foundational result on asymptotic freedom. Used with Gross and Wilczek to ground the QCD-generated hierarchy.
Key: Politzer1973 · Metadata checked against the v1.0 source paper.
Riegert 1984 Primary paper
R. J. Riegert, A non-local action for the trace anomaly, Phys. Lett. B 134, 56 (1984).
Why cited here Supports the nonlocal anomaly-induced effective action underlying the compact logarithmic response.
The anomaly action does not select the curvature-charge source coordinate.
Supports- EXT-02 Derived A constant-Weyl projector removes local counterterm contamination and isolates the Euler response.
- SRC-01 Derived In the declared curvature-charge coordinate, the anomaly response yields the factor h²/M_P².
Cited in: protected-response, why-these-factors
Site summary Constructs a non-local action for the four-dimensional trace anomaly. Used to interpret the logarithmic Euler response as a compact Wess-Zumino response.
Key: Riegert1984 · Metadata checked against the v1.0 source paper.
Riess et al. 1998 Observational 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].
Why cited here Discovery record: one of the two 1998-99 supernova analyses that established the accelerating expansion attributed to a positive cosmological constant.
The site's numerical comparison uses the Planck 2018 flat-LambdaCDM-inferred value, not these measurements directly.
Supports Contextual source
Site summary Discovery record: one of the two 1998-99 supernova analyses that established the accelerating expansion attributed to a positive cosmological constant.
Key: Riess1998 · Metadata checked against the v1.0 source paper.
Schützhold 2002 Primary paper
R. Schützhold, Small cosmological constant from the QCD trace anomaly?, Phys. Rev. Lett. 89, 081302 (2002).
Why cited here Representative QCD trace-anomaly proposal used in the comparison section.
SupportsCited in: references or comparison context
Site summary Representative QCD trace-anomaly proposal used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Schutzhold2002 · Metadata checked against the v1.0 source paper.
Susskind 2003 Primary paper
L. Susskind, The anthropic landscape of string theory, arXiv:hep-th/0302219.
Why cited here Foundational landscape framing used in the comparison section.
SupportsCited in: references or comparison context
Site summary Foundational landscape framing used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Susskind2003 · Metadata checked against the v1.0 source paper.
Tanaka 2025 Primary paper
K. Tanaka, Proton mass decompositions in the NNLO QCD, arXiv:2511.18310 [hep-ph].
Why cited here Recent NNLO analysis clarifying scheme and scale dependence in proton-mass decompositions.
Supports Contextual source
Site summary Recent NNLO analysis clarifying scheme and scale dependence in proton-mass decompositions. It is used for the stated ingredient and not as independent certification of the final result.
Key: Tanaka2025 · Metadata checked against the v1.0 source paper.
’t Hooft 1976 Primary paper
G. ’t Hooft, Computation of the quantum effects due to a four-dimensional pseudoparticle, Phys. Rev. D 14, 3432 (1976).
Why cited here Foundational instanton calculation used for the Planck-scale QCD-instanton suppression comparison.
Supports Contextual source
Site summary Foundational instanton calculation used for the Planck-scale QCD-instanton suppression comparison. It is used for the stated ingredient and not as independent certification of the final result.
Key: tHooft1976 · Metadata checked against the v1.0 source paper.
Turyshev 2026 Primary paper
Turyshev, Dataset-dependent evidence for evolving dark energy, Phys. Rev. D 113, 103540 (2026), DOI 10.1103/dqxw-yp1j.
Why cited here Supports the calibrated statement that the evolving-dark-energy preference is dataset dependent.
Dataset dependence does not establish w=-1 as the final observational answer.
Supports- TEST-01 Test The completion predicts w = −1 exactly, at all redshifts; persistent cross-dataset, systematics-robust evidence for evolving dark energy would falsify the proposed completion or its identification with the observed acceleration, leaving the extraction theorem intact.
Cited in: status
Site summary Analyses how evolving-dark-energy significance changes across dataset combinations. Used to avoid presenting current hints as settled.
Key: Turyshev2026 · Metadata checked against the v1.0 source paper.
Vassilevich 2003 Review
D. V. Vassilevich, Heat kernel expansion: user's manual, Phys. Rep. 388, 279 (2003).
Why cited here Standard heat-kernel reference supporting the even-power structure of perturbative mass corrections.
The heat-kernel argument is not a no-go theorem for every non-local UV effect.
Supports- IR-01 Derived A separate infrared input is required; the direct Planck-scale mechanisms tested do not generate the needed linear QCD hierarchy.
Cited in: why-these-factors
Site summary Standard heat-kernel review. Used for the even-power structure of perturbative mass corrections on compact Riemannian manifolds.
Key: Vassilevich2003 · Metadata checked against the v1.0 source paper.
Wald 1994 Primary text
R. M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, University of Chicago Press, Chicago (1994).
Why cited here Standard curved-spacetime QFT foundation for stress-tensor renormalisation and semiclassical gravity.
It does not supply the compact S4 sharpening or numerical construction.
Supports- VAC-01 Standard input Absolute zero-point energy is not by itself a scheme-independent observable.
Cited in: problem
Site summary Authoritative treatment of QFT in curved spacetime. Used for renormalisation freedom of the stress tensor and the status of local gravitational counterterms.
Key: Wald1994 · Metadata checked against the v1.0 source paper.
Wang et al. 2024 Primary paper
B. Wang et al., Trace anomaly form factors from lattice QCD, Phys. Rev. D 109, 094504 (2024) [arXiv:2401.05496].
Why cited here Recent lattice determination of trace-anomaly form factors used in the QCD endpoint context.
Supports Contextual source
Site summary Recent lattice determination of trace-anomaly form factors used in the QCD endpoint context. It is used for the stated ingredient and not as independent certification of the final result.
Key: WangEtAl2024 · Metadata checked against the v1.0 source paper.
Weinberg 1987 Primary paper
S. Weinberg, Anthropic bound on the cosmological constant, Phys. Rev. Lett. 59, 2607-2610 (1987).
Why cited here Foundational anthropic bound used in the comparison section.
SupportsCited in: references or comparison context
Site summary Foundational anthropic bound used in the comparison section. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: Weinberg1987 · Metadata checked against the v1.0 source paper.
Weinberg 1989 Review
S. Weinberg, The cosmological constant problem, Rev. Mod. Phys. 61, 1 (1989).
Why cited here Canonical review of the cosmological-constant problem and comparison baseline.
The review is a comparison baseline, not evidence for the new mechanism.
Supports- CMP-01 Derived The proposal closes the full numerical chain within a specified compact channel while exposing the physical selections that remain.
Cited in: comparisons
Site summary Canonical review of the cosmological-constant problem. Used to frame the scale of the problem and major classes of proposed resolution.
Key: Weinberg1989 · Metadata checked against the v1.0 source paper.
Wess & Zumino 1971 Primary paper
J. Wess and B. Zumino, Consequences of anomalous Ward identities, Phys. Lett. B 37, 95 (1971).
Why cited here Foundational consistency condition protecting anomaly coefficients.
Consistency protects anomaly structure but does not select the saddle or source map.
Supports- EXT-01 Derived Within the stated compact response class, one nonzero universal matter datum survives: the type-A Euler anomaly coefficient.
Cited in: protected-response
Site summary Foundational consistency conditions for anomalous Ward identities. Used to explain why the Euler coefficient is protected rather than removable by a finite local convention.
Key: WessZumino1971 · Metadata checked against the v1.0 source paper.
Witten 2011 Primary paper
E. Witten, Analytic continuation of Chern-Simons theory, AMS/IP Stud. Adv. Math. 50, 347 (2011) [arXiv:1001.2933].
Why cited here Reference for analytic continuation and Lefschetz-thimble methods.
Picard-Lefschetz theory does not provide a universal de Sitter contour independent of boundary conditions.
Supports- SAD-02 Selected The strict channel selects the suppressed compact S⁴ thimble: the damped weight e^(-B) = e⁻²⁴π².
Cited in: why-these-factors
Site summary General framework for analytic continuation and Lefschetz thimbles. Used to frame the compact saddle as a contour-dependent contribution and state the limits of its selection.
Key: Witten2011 · Metadata checked against the v1.0 source paper.
Yang et al. 2018 Primary paper
Y.-B. Yang, J. Liang, Y.-J. Bi, Y. Chen, T. Draper, K.-F. Liu, and Z. Liu, Proton mass decomposition from the QCD energy momentum tensor, Phys. Rev. Lett. 121, 212001 (2018) [arXiv:1808.08677].
Why cited here Lattice-QCD evidence for the QCD origin and decomposition of the proton mass.
The lattice decomposition does not derive the paired-cap matching hypothesis.
Supports- QCD-01 Standard input QCD dimensional transmutation produces the infrared scale hierarchy; the measured proton-to-Planck ratio is m_p/M_P = 7.685 × 10⁻²⁰.
- QCD-02 Selected The strict QCD endpoint is the proton: the lightest stable hadronic colour-singlet pole satisfying the stated zero-temperature source criteria.
Cited in: why-these-factors
Site summary Lattice-QCD calculation of proton mass contributions. Used as modern evidence that the proton is a stable physical pole whose mass is largely generated by QCD dynamics.
Key: Yang2018 · Metadata checked against the v1.0 source paper.
Zhong & Jain 2025 Primary paper
K. Zhong and B. Jain, Tests of evolving dark energy with geometric probes of the late-time universe, arXiv:2509.26480 [astro-ph.CO].
Why cited here Recent analysis of evolving dark energy with geometric probes.
SupportsCited in: references or comparison context
Site summary Recent analysis of evolving dark energy with geometric probes. It should be read as support for the stated ingredient, not as external validation of the complete mechanism.
Key: ZhongJain2025 · Metadata checked against the v1.0 source paper.