K. Takahashi Research Hub
Series Field Guide
Constraint Generative Theory (CGT) is a viewpoint-oriented meta-theory for reading scientific, technical, and AI-system claims through typed constraints, generated effect profiles, report lenses, support conditions, scientific availability, and abstention-aware certificates.
CGT starts from a simple distinction: a system may report an answer, but that report may not contain the support needed for the stronger claim a reader wants to make. CGT asks what a given report, model output, measurement, audit log, or scientific statement is actually allowed to support.
In this vocabulary, a report is the visible or declared output; support is the evidence and constraint structure behind it; availability is the declared route by which a claim can be observed, described, verified, failed, reproduced, or continued; and abstention is the status kept when support is not enough. A constraint is not only a restriction: in a declared frame it can generate observation, comparison, verification, continuation, repair, release, or abstention structure.
In one sentence: CGT is a way to ask whether a reported result actually supports the claim being made, or whether the correct status is only bounded, diagnostic, unavailable, or abstained.
CGT begins from a conservative observation: many scientific and technical reports are projections. They may preserve the answer that a reader sees while forgetting how the answer was generated, which comparison interface made it meaningful, which observation or description lens was used, which continuation paths remain possible, which inconsistency policy was active, or which verification and failure conditions were declared.
The core paper therefore treats the generated effect profile as the object to be compared. A report is still important, but it is not identified with the full profile. This lets the series discuss report-equivalent systems that differ in hidden coordinates such as availability, continuation, interaction, support, release, diagnostic debt, or physical residuals.
This page collects the CGT series in one place because the papers are easier to understand as a connected research program than as isolated supplements. The goal is to give readers a map: the core idea, the vocabulary, the reading order, the boundaries, and the related implementation-facing experiments.
Read this page as an entry point to the series. It gives the conceptual map first, then the paper map, then the mathematical anchors and structured summary for readers who need exact handles.
CGT is a viewpoint-oriented meta-theory: a disciplined way to read claims by asking which constraints, lenses, support structures, and failure conditions make the claim available. It is useful when the visible report is too small to show the generated comparisons, observations, descriptions, continuations, or certificates on which a stronger claim would depend.
In this sense, CGT functions as a field guide for scientific, technical, and AI-system claims about software systems, physical systems, model outputs, measurements, and audit records. It separates the report from the supported claim; separates report equality from effect-profile equality; and separates what is determined, bounded, unsupported, unavailable, or properly abstained from under declared constraints.
Typical CGT questions are concrete, even when the formal vocabulary is abstract:
The frame-relative character is essential. Once carriers, systems, transformations, comparison regimes, observation and description lenses, normalizers, verifiers, bounds, and failure predicates are specified, CGT asks which effects are generated and which claims are scientifically available.
CGT does not replace existing scientific or formal theories. It does not replace thermodynamics, stochastic thermodynamics, information theory, open-system modeling, model theory, category theory, logic, constraint satisfaction, or AI theory. It gives a language for asking what a report, model output, certificate, or physical readout is allowed to support.
It also does not claim that constraints are the absolute basis of reality, that every scientific judgment can be automated, or that every effect has a ready-made software estimator. CGT is not a search ranking strategy, not AI-search optimization content, and not a software-first product page; this page is a research index and conceptual overview.
Missing checker rows, undeclared lenses, unbounded enumeration, or unverified transport should leave a claim unsupported, unavailable, or abstained from rather than promoted to a stronger conclusion.
The intended scientific use is narrower and more testable: make report/support gaps explicit, keep evidence conditions declared, and preserve diagnostic status when the available fragment is not enough for the desired claim.
Within a declared frame, a constraint may narrow options, but it may also create the very structure by which options are compared, observed, described, verified, repaired, released, or marked as unavailable.
Avoid: reading "constraint" as only a predicate, truth condition, or CSP relation.
CGT first asks whether two objects, states, histories, reports, or effects can be compared at all. Only then can a proposed distinction be used as evidence for a stronger claim.
Avoid: assuming that every proposed distinction is already well formed before a comparison interface exists.
A report is a selected view of an effect profile. Two systems can produce the same report while differing in continuation, verification, interaction, residual support, or other coordinates the report lens does not show.
Avoid: treating report equality as effect-profile equality.
The effect of adding a constraint is measured by named dimensions. A constraint can be redundant for one dimension and active for another, so independence, opacity, and interaction must be typed.
Avoid: asking for a single scalar "effect of a constraint" without naming the relevant dimensions.
Within CGT, a claim is scientifically available only through declared data: how the effect is observed, described, normalized, verified, failed, reproduced, traced, and continued.
Avoid: treating a named effect as scientifically available merely because it appears in a report.
Later CGT papers use certificates, residual profiles, support frontiers, abstention modes, and release ledgers to show exactly where evidence is present, missing, diagnostic-only, or insufficient.
Avoid: treating abstention, retained failure, or diagnostic-only status as a negative result or a positive certificate.
All entries below belong to the same CGT Zenodo directory and use the DOI 10.5281/zenodo.20199440.
The papers move from basic semantics to increasingly applied diagnostic layers: the core paper defines effect profiles and the viewpoint, the projection and availability papers explain what reports can hide, the certificate papers handle finite support and diagnostic status, and the physical, experimental, and statistical verifier papers apply the same report-lens discipline to domain-facing reports and statistical artifacts. Later papers extend the reading practice; they do not replace the core.
The paths below are intended to prevent premature synthesis. Readers who start with later certificate papers should still return to the core effect-profile semantics, because the later objects are diagnostic and finite-support layers over that core.
formal_core.equations.papers[].id as stable handles.The core manuscript preserves philosophical and intuitive motivation in comments, but the public scientific reading should remain operational. These guardrails explain how to use that motivation without turning it into a broader claim than the papers support.
No. The physical availability paper uses CGT to ask what limited physical reports support; it does not replace physical theory.
It is relevant to AI governance, audit, and research agents, but it is broader than governance and remains a viewpoint-oriented theory.
Because unsupported claims should not be promoted to positive evidence. Abstention preserves uncertainty and missing support conditions.
A report is what a lens exposes. A supported claim requires declared evidence, verification, failure conditions, and availability data for the stronger reading.
Only fragments are currently represented in related OSS; the full series is primarily theoretical.
The entries belong to the same Zenodo CGT directory and intentionally share the series DOI.
This section is optional for first-time readers. It gives stable mathematical handles for the prose above.
The formulas below are written as literal LaTeX strings and exposed with data-tex attributes. They are kept as text so mathematical notation, visible prose, and structured summaries stay aligned without requiring a JavaScript math engine.
For human readers, the point of these anchors is to keep several questions separate: what constraint was declared, which effect dimensions it can touch, what profile it generates, which report lens forgets which coordinates, and which availability package supports a reproducible claim.
\Frame\vdash \kappa: (\Level_\kappa,\Domain_\kappa,\Cod_\kappa,J_\kappa,\Trans_\kappa,\Compare_\kappa)
A constraint is typed by level, domain, codomain, affected effect dimensions, transformation data, and comparison regime.
Plain reading: before a constraint can do work, the frame must say where it applies, what it can transform, and how its effects will be compared.
\kappa=(\Pres_\kappa,\Level_\kappa,\Domain_\kappa,\Cod_\kappa,J_\kappa,\Trans_\kappa,\Compare_\kappa,\rho_\kappa)
The presentation is included but does not exhaust what the constraint is within the declared frame.
Plain reading: a token, rule, predicate, lens, or policy may present a constraint, but CGT keeps the typed effect role separate from that presentation.
\Eff_{\Frame}:\Sys_{\Frame}\to\EffSpace_{\Frame}
\Eff_{\Frame}(C)=(\Eff^d_{\Frame}(C))_{d\in\Dim_{\Frame}}
\EffSpace_{\Frame}=\prod_{d\in\Dim_{\Frame}}\EffSpace^d_{\Frame}
The primary semantic object is a product of typed effect dimensions.
Plain reading: CGT compares systems by profiles with many coordinates, not only by their final externally visible answer.
\Eff_{\Frame}(C)=(\Raw_{\Frame}(C),\Uni_{\Frame}(C),\Cmp_C,\Dist_C,\Sel_C,\Class_C,\ObsEff_C,\DescEff_C,\KGraph_{\Frame}(C),\ValEff_C,\IncEff_C,\HistEff_C,\VerEff_C)
This instance keeps generated universe, comparability, distinction, selection, observation, description, continuation, valuation, inconsistency, history, and verification explicit.
Plain reading: this is the checklist of what a report may hide. If two systems agree on output but differ here, CGT treats the difference as real within the declared frame.
\Rep_Q:\Eff_{\Frame}(C)\to\RObj_Q(C)
\AProf_Q(C)=(\RObj_Q(C),X_Q(C),K_Q(C),M_Q(C))
Reports and certified availability fragments are projections or packages over effect profiles, not replacements for them.
Plain reading: the visible report and the evidence package are important, but they are selected views of a richer profile.
\Marg^J_\kappa(C)=(\Compare_d(\Eff^d_{\Frame}(C),\Eff^d_{\Frame}(C\oplus_C\kappa)))_{d\in J}
C\equiv_J C\oplus_C\kappa
A constraint can be redundant, active, opaque, or interaction-bearing only relative to declared dimensions and comparison data.
Plain reading: adding a constraint may change observation but not report, verification but not state count, or continuation but not immediate output.
\CommEff^J_{\Frame}(C;\kappa,\lambda)=\Compare_J(\Eff^J_{\Frame}((C\oplus_C\kappa)\oplus_C\lambda),\Eff^J_{\Frame}((C\oplus_C\lambda)\oplus_C\kappa))
CGT can express non-commuting constraint effects without assuming vector subtraction or scalar synergy.
Plain reading: two constraints can have different effects depending on application order, and the comparison must name the affected dimensions.
\Cont_{\Frame}:\Sys_{\Frame}\to\Pow(\Sys_{\Frame})
F_{\mathrm{state}}(C)=\log(1+\card{S_C})
F_{\mathrm{cont}}(C)\in\{\card{E_C},\max depth(\KGraph_{\Frame}(C)),\log(1+\card{N_C}),H_C\}
Freedom is not only remaining states. It also measures room for further constraint application and continuation structure.
Plain reading: a constraint may reduce immediate state options while increasing the number or depth of later well-typed moves.
\Ecal=\prod_{d\in D}E_d
P:\Ecal\to R
D=\bar D\circ P \ \mathrm{iff}\ D\ \mathrm{is\ constant\ on\ every}\ P\ \mathrm{fiber}
The physical paper uses report lenses to distinguish what a limited physical report determines, bounds, forgets, or leaves unavailable.
Plain reading: if a diagnostic changes inside a report fiber, the report alone cannot support that diagnostic claim.
The structured summary below keeps stable handles for citation, indexing, and research-agent use. It is supporting metadata; the main page remains the human-readable guide above.
series:
id: constraint-generative-theory-series
abbreviation: CGT
title: "Constraint Generative Theory"
maintainer: K Takahashi
language: en
canonical_index: https://kadubon.github.io/github.io/constraint-generative-theory-index.html
homepage: https://kadubon.github.io/github.io/
doi: https://doi.org/10.5281/zenodo.20199440
license: https://creativecommons.org/licenses/by/4.0/
last_updated: 2026-05-24
machine_reading_status:
visible_yaml_primary: true
json_ld_secondary: true
stable_paper_ids: true
formulas_as_latex_strings: true
purpose:
summary: "Human-readable field guide for the CGT paper series."
audience:
- first-time human readers
- scholarly indexers
- machine readers
- AI research agents
- LLM summarizers
what_this_series_is: "A viewpoint-oriented meta-theory for reading reports, support conditions, scientific availability, and abstention under declared constraints."
what_this_series_is_not:
- "Not a replacement for model theory, constraint satisfaction, rewriting logic, category theory, information theory, paraconsistent logic, thermodynamics, or stochastic process theory."
- "Not a theory that treats final reports or satisfying assignments as the whole semantic object."
- "Not an ontology of the ultimate nature of reality, a universal estimator, a ready-made software stack, or a claim that all scientific judgment can be automated."
- "Not a search ranking strategy, AI-search optimization page, or software-first product page."
short_version:
text: "CGT is a way to ask whether a reported result actually supports the claim being made, or whether the correct status is only bounded, diagnostic, unavailable, or abstained."
core_thesis:
short: "Constraints can generate and transform typed effects inside declared frames."
expanded:
- "The primary CGT object is the generated effect profile of a constraint system in a declared frame."
- "Reports, observations, descriptions, valuations, continuation graphs, inconsistency markers, and scientific certificates are projections or components of effect profiles."
- "Output-equivalent or report-equivalent systems can differ in the effects that generated, observed, described, continued, valued, scheduled, or verified them."
- "Comparability precedes distinction, and distinction precedes binary truth or falsity."
- "Within CGT, scientific availability is represented by declared observation, description, normalization, verification, failure, reproduction, provenance, and continuation data."
human_reading_summary:
one_paragraph: "CGT is best read as a viewpoint-oriented language for asking what a declared constraint system generates beyond the report a reader sees. Its central comparison object is the effect profile: the generated universe, comparison interface, distinctions, observations, descriptions, continuation paths, valuations, inconsistency markers, histories, and verification data induced by constraints in a declared frame."
reader_warning: "Do not treat this page as claiming that constraints are the ultimate basis of reality. Treat the theory as frame-relative: claims require declared carriers, systems, transformations, lenses, checkers, bounds, and failure conditions."
why_the_series_exists:
- "The core paper defines the effect-profile semantics."
- "Projection and availability papers explain what reports hide and what evidence packages make selected effects scientifically usable."
- "Certificate and diagnostic papers handle finite evidence, support, release, interaction, and abstention."
- "The physical interface paper asks what limited physical report lenses determine or forget."
- "The experimental availability paper turns claim availability into machine-checkable audit certificates, obstruction codes, provenance, and replay contracts."
- "The statistical verifier semantics paper treats statistical artifacts as report projections whose availability depends on typed status, replay, approximation, representation, purpose, and unresolved marker debt."
claim_boundaries:
no_replacement_claim:
- "CGT does not replace model theory, CSP, rewriting logic, category theory, information theory, thermodynamics, stochastic thermodynamics, or paraconsistent logic."
- "It provides a constraint-primary comparison language for generated effect profiles."
availability_is_relative: "Scientific availability is always relative to declared projection, observation, description, normalization, verification, failure, reproduction, provenance, and continuation data."
complexity_scope: "NP-completeness and finite audit results are for fixed candidate pools, bounded fragments, or polynomially verifiable certificate regimes."
physical_scope: "Constraint-generated physical availability is an interface for report-lens diagnosis, not a replacement for established physical theories."
experimental_scope: "Constraint-generated experimental availability is a certificate discipline for declared audit records; it does not replace causal inference, statistics, metrology, privacy theory, reporting guidance, workflow standards, or provenance standards."
statistical_scope: "Statistical verifier semantics classifies what statistical artifacts support under declared effect coordinates; it does not replace statistical inference, Blackwell theory, computable analysis, validated numerics, safe testing, provenance schemas, or multiobjective optimization."
failure_policy: "Missing checker rows, undeclared lenses, unbounded enumeration, or unverified transport should produce abstention or retained diagnostic status rather than a positive claim."
paper_relations:
formal_core:
- cgt-core
- comparability-bootstrap
projection_and_availability:
- constraint-marginal-probing
- scientific-availability
certificate_and_diagnostic_layers:
- mutual-constraint-viability
- constraint-bandwidth-dynamics
- constraint-interaction-ecology
- conceptual-monopoly-diagnostics
- constraint-generated-experimental-availability
- statistical-verifier-semantics
physical_interface:
- constraint-generated-physical-availability
dependency_hint: "Later certificate papers should be read as finite or diagnostic layers over the core effect-profile semantics, not as replacements for it."
glossary:
declared_frame: "The typed setting that names carriers, systems, transformations, comparison regimes, observation and description lenses, normalizers, verifiers, bounds, and failure predicates."
effect_profile: "The multidimensional record generated by a constraint system, including report-visible and report-hidden coordinates."
report_lens: "A projection from an effect profile to a report object; it can forget coordinates relevant to availability or diagnosis."
scientific_availability: "A declared package showing how selected effects can be observed, described, normalized, verified, failed, reproduced, and continued."
experimental_availability: "A declared audit-certificate package showing how experimental claim status can be computed from typed records, verifier traces, obstruction codes, provenance, and replay contracts."
statistical_verifier_semantics: "A meta-statistical CGT layer for deciding what statistical reports can support under typed status records, replay contracts, approximation ledgers, purpose requirements, and marker debt."
retained_diagnostic_status: "A typed record that preserves uncertainty, boundary, failure, or diagnostic-only information without promoting it to positive floor evidence."
abstention: "The correct output when the declared fragment lacks enough typed evidence to certify the stronger claim."
common_misreadings:
- misreading: "CGT says constraints are the origin of reality."
correction: "The scientific reading is frame-relative: constraints generate effect profiles inside declared frames."
- misreading: "A report is the same as the generated effect profile."
correction: "A report is a projection and may forget continuation, verification, support, interaction, or physical residuals."
- misreading: "Scientific availability follows from a successful report."
correction: "Availability requires declared observation, description, verification, failure, reproduction, and related evidence."
- misreading: "A finite diagnostic certificate proves an unrestricted ambient claim."
correction: "Finite certificates prove only the declared finite or bounded fragment unless a stronger interface is certified."
- misreading: "Conceptual monopoly diagnostics measure true diversity or moral status."
correction: "They diagnose lens-relative witness availability using observable certificates."
- misreading: "A machine-checkable experimental certificate automates all scientific judgment."
correction: "It computes status only for the declared audit record and leaves domain methods, missing evidence, and external judgment boundaries explicit."
- misreading: "Statistical verifier semantics makes statistical inference unnecessary."
correction: "It treats statistical methods as domain artifacts whose claim-support role still depends on declared selection, calibration, loss, replay, purpose, and approximation conditions."
scientific_integrity_notes:
- "Use abstention when a checker row, comparison interface, lens, finite bound, support certificate, or transport witness is missing."
- "Keep report equality separate from effect-profile equality."
- "State whether a result is core semantic, finite certificate, diagnostic, physical-interface, or complexity-theoretic."
- "Treat experimental audit certificates as declared support records, not as replacements for domain-specific methodology."
- "Treat statistical verifier statuses as claim-support classifications, not as replacements for statistical modeling or decision analysis."
- "Do not turn philosophical intuition into an unstated scientific premise."
- "Preserve declared failure conditions so the claim can be reproduced, challenged, or refuted."
formal_core:
primary_object: generated_effect_profile
equations:
declared_constraint_judgment:
tex: "\\Frame\\vdash \\kappa: (\\Level_\\kappa,\\Domain_\\kappa,\\Cod_\\kappa,J_\\kappa,\\Trans_\\kappa,\\Compare_\\kappa)"
role: "Types a constraint by level, domain, codomain, effect dimensions, transformation data, and comparison regime."
declared_constraint_record:
tex: "\\kappa=(\\Pres_\\kappa,\\Level_\\kappa,\\Domain_\\kappa,\\Cod_\\kappa,J_\\kappa,\\Trans_\\kappa,\\Compare_\\kappa,\\rho_\\kappa)"
role: "Records presentation without reducing constraint identity to presentation."
effect_semantics:
tex: "\\Eff_{\\Frame}:\\Sys_{\\Frame}\\to\\EffSpace_{\\Frame}"
role: "Maps a constraint system to its typed effect profile."
effect_profile:
tex: "\\Eff_{\\Frame}(C)=(\\Eff^d_{\\Frame}(C))_{d\\in\\Dim_{\\Frame}}"
role: "Collects dimension-indexed effects."
effect_space:
tex: "\\EffSpace_{\\Frame}=\\prod_{d\\in\\Dim_{\\Frame}}\\EffSpace^d_{\\Frame}"
role: "Product space for typed effect dimensions."
expanded_profile:
tex: "\\Eff_{\\Frame}(C)=(\\Raw_{\\Frame}(C),\\Uni_{\\Frame}(C),\\Cmp_C,\\Dist_C,\\Sel_C,\\Class_C,\\ObsEff_C,\\DescEff_C,\\KGraph_{\\Frame}(C),\\ValEff_C,\\IncEff_C,\\HistEff_C,\\VerEff_C)"
role: "Keeps generated universe, comparability, distinction, selection, classification, observation, description, continuation, valuation, inconsistency, history, and verification explicit."
report_projection:
tex: "\\Rep_Q:\\Eff_{\\Frame}(C)\\to\\RObj_Q(C)"
role: "Models a report as a projection from effect profile."
availability_profile:
tex: "\\AProf_Q(C)=(\\RObj_Q(C),X_Q(C),K_Q(C),M_Q(C))"
role: "Certified availability fragment for a report question or lens."
marginal_effect:
tex: "\\Marg^J_\\kappa(C)=(\\Compare_d(\\Eff^d_{\\Frame}(C),\\Eff^d_{\\Frame}(C\\oplus_C\\kappa)))_{d\\in J}"
role: "Dimension-relative comparison after adding a constraint."
dimension_relative_redundancy:
tex: "C\\equiv_J C\\oplus_C\\kappa"
role: "Constraint is redundant only relative to declared dimensions J."
commutator:
tex: "\\CommEff^J_{\\Frame}(C;\\kappa,\\lambda)=\\Compare_J(\\Eff^J_{\\Frame}((C\\oplus_C\\kappa)\\oplus_C\\lambda),\\Eff^J_{\\Frame}((C\\oplus_C\\lambda)\\oplus_C\\kappa))"
role: "Order-sensitive constraint interaction."
continuation:
tex: "\\Cont_{\\Frame}:\\Sys_{\\Frame}\\to\\Pow(\\Sys_{\\Frame})"
role: "Continuation options generated by a system."
state_freedom:
tex: "F_{\\mathrm{state}}(C)=\\log(1+\\card{S_C})"
role: "State-count style freedom."
continuation_freedom:
tex: "F_{\\mathrm{cont}}(C)\\in\\{\\card{E_C},\\max depth(\\KGraph_{\\Frame}(C)),\\log(1+\\card{N_C}),H_C\\}"
role: "Continuation-structure style freedom."
physical_report_lens:
tex: "P:\\Ecal\\to R"
role: "Maps physical effect profiles to reports."
report_factorization:
tex: "D=\\bar D\\circ P \\ \\mathrm{iff}\\ D\\ \\mathrm{is\\ constant\\ on\\ every}\\ P\\ \\mathrm{fiber}"
role: "Diagnostic is report-determined exactly when it is constant on report fibers."
papers:
- id: cgt-core
title: "Constraint Generative Theory: Typed Constraint Effects and Scientific Availability"
published: 2026-05-15
role: foundation
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Defines CGT, typed constraint records, effect profiles, report projection, marginal effects, interaction, continuation, valuation, inconsistency policies, and scientific availability."
- id: constraint-marginal-probing
title: "Constraint-Marginal Probing in Constraint Generative Theory: Report-Relative Closure, Interaction, and Scientific Projection Design"
published: 2026-05-16
role: projection-and-probe-design
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Studies how probes and selected effect dimensions recover distinctions hidden by report classes; includes NP-complete finite cover problems."
- id: comparability-bootstrap
title: "Comparability Bootstrap in Constraint Generative Theory: Typed Well-Formedness, Cascaded Closure, and Interaction-Generated Interfaces"
published: 2026-05-17
role: comparability-and-well-formedness
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Shows that distinctions become well-formed only after comparison interfaces exist or are generated; develops closure and interaction-generated comparability."
- id: scientific-availability
title: "Scientific Availability in Constraint Generative Theory: Report Factorization, Residual Constraints, and Infinitary Diagnostics"
published: 2026-05-18
role: reproducibility-and-diagnostics
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Defines availability packages, dependency closure, availability preorder, report-factorization obstruction, residual constraints, and infinitary diagnostics."
- id: mutual-constraint-viability
title: "Mutual Constraint Viability in Constraint Generative Theory: Row-Typed Applicability Effect Sequents"
published: 2026-05-18
role: future-applicability-calculus
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Tracks whether applying one constraint preserves future ability to constrain applicator, authority, support, markers, repairs, and affected systems."
- id: constraint-bandwidth-dynamics
title: "Constraint Bandwidth Dynamics in Constraint Generative Theory: Applicability Support Completion and Exact Release"
published: 2026-05-19
role: bandwidth-completion-and-release
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Defines finite bandwidth readout, residual effect certificate hypergraphs, support antichains, completion, exact release, and finite audit algorithms."
- id: conceptual-monopoly-diagnostics
title: "Conceptual Monopoly Diagnostics under No-Meta Constraints: Observable Certificates, Correction Bandwidth, and Anti-Erasure Release"
published: 2026-05-20
role: no-meta-diagnostic-certificates
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Models conceptual monopoly as a lens-relative constraint-effect certificate problem, not as a moral or diversity score."
- id: constraint-interaction-ecology
title: "Constraint Interaction Ecology in Constraint Generative Theory: Profile-Faithful Feedback, Typed Residual Certificates, and Residual Transport Barriers"
published: 2026-05-21
role: interaction-residual-ecology
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Develops interaction residual certificates for joint generation, masking, suppression, retention, discharge, unavailability, and transport barriers."
- id: constraint-generated-physical-availability
title: "Constraint-Generated Physical Availability: Report Lenses, Certificate Calculus, Memory Completion, and Hidden Dissipation"
published: 2026-05-21
role: physical-interface
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Applies CGT to physical report lenses, hidden dissipation, entropy-production completion, memory completion, Landauer-style debt, and conditional free energy."
- id: constraint-generated-experimental-availability
title: "Constraint-Generated Experimental Availability: Machine-Checkable Audit Certificates in Constraint Generative Theory"
published: 2026-05-22
role: experimental-audit-certificates
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Defines a CGT audit language for experimental availability, including typed certificate graphs, status and obstruction codes, verifier traces, provenance, and replay contracts."
- id: statistical-verifier-semantics
title: "Statistical Verifier Semantics in Constraint Generative Theory: Availability, Certificate-Carrying Replay, and Purpose-Indexed Cone-Stable Frontier Transport"
published: 2026-05-24
role: meta-statistical-availability
doi: https://doi.org/10.5281/zenodo.20199440
contribution: "Defines a CGT meta-statistical verifier layer for statistical artifacts, certificate-carrying replay, finite audit abstraction, approximate frontier risk semantics, represented effective bandwidth replay, and purpose-indexed cone-stable frontier transport."
read_paths:
first_time_reader:
- cgt-core
- comparability-bootstrap
- scientific-availability
- constraint-marginal-probing
finite_certificates:
- scientific-availability
- constraint-generated-experimental-availability
- statistical-verifier-semantics
- mutual-constraint-viability
- constraint-bandwidth-dynamics
- constraint-interaction-ecology
- conceptual-monopoly-diagnostics
physical_interface:
- cgt-core
- scientific-availability
- constraint-generated-physical-availability
research_agents_and_indexers:
- machine_parse_guide
- formal_core.equations
- papers
- machine_entry_points
related_oss:
role: "implementation-facing companions, not complete implementations of the full CGT series"
repositories:
- id: cgt-marker
name: "cgt-marker"
url: "https://github.com/kadubon/cgt-marker"
relation: "marker-oriented CGT records and diagnostic-status representation"
- id: cgt-availability
name: "cgt-availability"
url: "https://github.com/kadubon/cgt-availability"
relation: "scientific availability, report/support separation, and abstention-aware claim handling"
- id: cgt-bandwidth-dynamics
name: "cgt-bandwidth-dynamics"
url: "https://github.com/kadubon/cgt-bandwidth-dynamics"
relation: "bandwidth, support completion, residual effects, and release-style reasoning"
faq:
- question: "Is CGT a new theory of physics?"
answer: "No. The physical availability paper uses CGT to ask what limited physical reports support; it does not replace physical theory."
- question: "Is CGT an AI governance framework?"
answer: "It is relevant to AI governance, audit, and research agents, but it is broader than governance and remains a viewpoint-oriented theory."
- question: "Why does CGT emphasize abstention?"
answer: "Because unsupported claims should not be promoted to positive evidence."
- question: "How is a report different from a supported claim?"
answer: "A report is what a lens exposes; a supported claim requires declared evidence, verification, failure conditions, and availability data."
- question: "Can CGT be implemented as software?"
answer: "Only fragments are currently represented in related OSS; the full series is primarily theoretical."
- question: "Why do all entries use the same DOI?"
answer: "The entries belong to the same Zenodo CGT directory and intentionally share the series DOI."
conceptual_background:
constraint_scope: "Constraint is broader than truth condition, predicate, or CSP relation."
no_constraint_limit: "The pre-constraint condition is handled only as a formal limit, not as an object of the theory."
generated_membership: "Existence-language is replaced by constraint-relative generated membership or occurrence."
comparison_order: "Comparability precedes distinction; distinction precedes selection; binary truth is a special selection structure."
freedom: "Freedom includes room for further constraints, not only number of states left."
valuation: "Valuation is evaluator-relative but operationally declared over effect profiles."
contradiction: "Contradiction can be marked and routed instead of collapsed."
goals: "Goals are constraints over spaces of constraint systems and require declared language, cost, bounds, validation, and failure conditions."
anti_tautology: "Scientific CGT claims should declare enough data for reproduction, comparison, abstention, or refutation."
machine_parse_guide:
stable_handles: "Use papers[].id as stable local handles."
canonical_series_doi: "Use series.doi as the DOI target for all CGT papers in this directory."
formula_priority: "Prefer formal_core.equations over prose paraphrase for mathematical extraction."
report_warning: "Do not identify report equality with effect-profile equality."
availability_warning: "Do not treat a claim as scientifically available unless observation, description, normalization, verification, failure, reproduction, and continuation data are declared or explicitly abstained."
machine_entry_points:
home: https://kadubon.github.io/github.io/
cgt_index: https://kadubon.github.io/github.io/constraint-generative-theory-index.html
works: https://kadubon.github.io/github.io/works.html
research_map: https://kadubon.github.io/github.io/research-map.html
no_meta_index: https://kadubon.github.io/github.io/no-meta-observable-index.html
llms_txt: https://kadubon.github.io/github.io/llms.txt
llms_full_txt: https://kadubon.github.io/github.io/llms-full.txt
sitemap: https://kadubon.github.io/github.io/sitemap.xml
doi: https://doi.org/10.5281/zenodo.20199440
Use the shared CGT series DOI for the papers and supplements listed on this page: https://doi.org/10.5281/zenodo.20199440. The repeated DOI is intentional because the entries belong to the same Zenodo directory.