United States Department of Labor

Generative Structural Theory v1.12: A Complete P-TEXT Decision for a Certified Eight-Rank Instance — Witnessed Satisfiability, Certified Obstruction, and the Minimum-Cause Structure of a Single Conflict Cut

This release presents Generative Structural Theory v1.12. For one fixed certified eight-rank instance, the paper gives a complete, UNKNOWN-free P-TEXT classification of all 7,616 provenance–rank cells. Of these cells, 7,548 are satisfiable and 68 are unsatisfiable. Every satisfia...

Generative Structural Theory v1.12: A Complete P-TEXT Decision for a Certified Eight-Rank Instance — Witnessed Satisfiability, Certified Obstruction, and the Minimum-Cause Structure of a Single Conflict Cut

This release presents Generative Structural Theory v1.12. For one fixed certified eight-rank instance, the paper gives a complete, UNKNOWN-free P-TEXT classification of all 7,616 provenance–rank cells. Of these cells, 7,548 are satisfiable and 68 are unsatisfiable. Every satisfia...

Generative Structural Theory v1.11: Selection-Independent Obstruction — A Seed–Cascade Incompatibility in a Certified Rank-9 Fragment

生成構造理論v1.11は、認証されたn=6の円錐インスタンスにおいて、選択に依存しない有限の障害を確立します。 論文では、プロベナンスθ408において、ポリシーに整合したランク9の選択が存在しないことを証明している。障害は、応答が選択される前のランク9シードデータによって固定される。すなわち、...

Generative Structural Theory v1.10.1: Global Positional Selection — A Finite Extension Obstruction in a Certified n = 6 Cone Instance

Version v1.10.1 corrects four causal-attribution statements across three source locations in v1.10. The fatal rank-9 load is generated by the rank-9 seeds and forced propagation, not by routing through the pre-existing entries of the named rank-8 map. Theorem 7.2, its proof, cert...

Generative Structural Theory v1.10.1: Global Positional Selection — A Finite Extension Obstruction in a Certified n = 6 Cone Instance

Version v1.10.1 corrects four causal-attribution statements across three source locations in v1.10. The fatal rank-9 load is generated by the rank-9 seeds and forced propagation, not by routing through the pre-existing entries of the named rank-8 map. Theorem 7.2, its proof, cert...

Generative Structural Theory v1.7: Zero-Boundary Events and the Extension to the Full Real Threshold Line

Generative Structural Theory v1.7 extends the threshold domain from the non-negative half-line to the full real line while retaining non-negative relation strengths. For a finite sector set and a relation-strength function R: Π → ℝ≥0, the strict threshold cut is Eε = {(P,Q) ∈ Π :...

Generative Structural Theory v1.6: Complete Classification of Event-Flag Non-Implications

Generative Structural Theory v1.6 gives complete realizability classifications for cut-flag states and event-flag states in finite non-negative relation-strength models. For a strict threshold cut Eε = {(P,Q) : P ≠ Q and R(P,Q) > ε}, the eight cut flags reduce to four coordinates...

Generative Structural Theory v1.6: Complete Classification of Event-Flag Non-Implications

Generative Structural Theory v1.6 gives complete realizability classifications for cut-flag states and event-flag states in finite non-negative relation-strength models. For a strict threshold cut Eε = {(P,Q) : P ≠ Q and R(P,Q) > ε}, the eight cut flags reduce to four coordinates...

Gravitational Manipulation Theory v3.1: Closure of the Synthetic Mechanism-Verification Workflow and Final Claim Boundary

This preprint provides the final closure report for the Gravitational Manipulation Theory v3.1 H3–H6 program. It consolidates the externally fixed pre-registration, operational-freeze, execution, replication, audit, and status-closure records into a self-contained account of the...

Gravitational Manipulation Theory v3.1: Closure of the Synthetic Mechanism-Verification Workflow and Final Claim Boundary

This preprint provides the final closure report for the Gravitational Manipulation Theory v3.1 H3–H6 program. It consolidates the externally fixed pre-registration, operational-freeze, execution, replication, audit, and status-closure records into a self-contained account of the...

Gravitational Manipulation Theory v3.0: An Auditable Mechanism-Verification Architecture for Sealed and Reproducible Physics Workflows

GMT v3.0 presents an auditable mechanism-verification architecture for sealed and reproducible physics workflows. It defines a controlled sequence for package admission, model freeze, trust-root authorization, deterministic execution, checkpoint protection, adjudication, provenan...

A Pre-Registered Identification Study of the Channel-Number Coordinate (n_chan) in Gravitational Manipulation Theory v2.9 (Rev.P)

This record contains the full preprint, figures, tables, and reproducibility package for GMT v2.9 Rev.P, a pre-registered identification study examining whether the channel-number index n_chan constitutes a recoverable operator-complexity coordinate or instead acts as a proxy abs...

HELM - Topology-Adaptive Geometric Routing with Non-Equilibrium Path Estimation and Orthogonal Channel Encoding

HELM (Hyperbolic Embedding with Langevin Manifolds) is a layered routing architecture for networks where topology and traffic both change faster than conventional protocols comfortably assume. It combines three separable layers: a geometric forwarding layer that selects between h...

Gravitational Manipulation Theory v2.4 — Apparatus-Space Scaling of Information Sufficiency

Gravitational Manipulation Theory (GMT) v2.4 extends the information-sufficiency program from a finite three-class robustness test to a pre-registered apparatus-design space. GMT v2.2 established, for a single Controlled Synthetic Apparatus (CSA), operator sufficiency at (L^*{\ma...

Gravitational Manipulation Theory v2.4 — Apparatus-Space Scaling of Information Sufficiency

Gravitational Manipulation Theory (GMT) v2.4 extends the information-sufficiency program from a finite three-class robustness test to a pre-registered apparatus-design space. GMT v2.2 established, for a single Controlled Synthetic Apparatus (CSA), operator sufficiency at (L^*{\ma...

Gravitational Manipulation Theory v2.5 — Range-Regime Scaling of Information Sufficiency

Gravitational Manipulation Theory (GMT) v2.5 — Range-Regime Scaling of Information Sufficiency GMT v2.5 extends the reconstruction-information sufficiency framework of GMT v2.4 from apparatus-design space to the joint apparatus × interaction-range domain. The interaction range is...

Gravitational Manipulation Theory v2.3 — Multi-Apparatus Information Sufficiency and Minimum-Record Robustness

GMT v2.2 established, for a single Controlled Synthetic Apparatus (CSA), a minimum record for reconstructing a precision-force constraint: operator sufficiency at L*_operator = I2 and a minimum sufficient set I_min = I4. That result was representative-class and was explicitly not...

Gravitational Manipulation Theory v1.9: Model-Dependence of Native Screening and Cross-Experiment Constraint Robustness

Gravitational Manipulation Theory (GMT) v1.9 tests whether the cross-experiment constraint structure established in GMT v1.7–v1.8 depends on the choice of screening model. GMT v1.7 made the screened-scalar constraint pipeline computationally reproducible, and GMT v1.8 reconstruct...

Gravitational Manipulation Theory v2.0: Model-Native Constraint Reconstruction Across Screening Mechanisms

Gravitational Manipulation Theory v2.0 — Model-Native Constraint Reconstruction Across Screening Mechanisms Version 2.0 advances the GMT program from the fixed-mapping “surface swap” tests of v1.9 to a fully model-native reconstruction framework. Each screened-scalar mechanism is...

Gravitational Manipulation Theory v1.8: First-Principles Single-Body Screening and Full Physics-Native Constraint Closure

Gravitational Manipulation Theory (GMT) v1.8 completes the transition of the GMT constraint pipeline from legacy-dependent reconstruction to a fully physics-native and reproducible framework. GMT v1.7 removed the legacy grid-generation dependency and reconstructed the two-body mu...