Hasan Sigergok

Population-Level Gating in Dusty Plasmas: Charge-Resolved Activation and Collision Kinetics in Polydisperse Granular Media

We develop a population formulation of threshold-conditioned grain dynamics in dusty plasmas. The formulation extends the Field-First hypothesis to polydisperse, compositionally heterogeneous populations while distinguishing electric mobilization from magnetic coupling. A charge-...

Covariant Q-Interaction Dynamics in Early-Universe Collective Regimes: An OFT–VGM Framework and Conditions for Gravitational Concentration

This paper presents Version 1.0 of a covariant Q-interaction framework for investigating collective field dynamics and the conditions that may precede gravitational concentration in the early Universe. Building on the original Q-Interaction manuscript developed on 9 January 2026...

Blind Prediction and Falsification in the OFT-Derived VGM Program: Immutable Pre-Test Contracts, Withheld Data, Decision Logic, and Failure-Closed Empirical Verdicts

This preprint develops the natural methodological continuation of VGM XV, moving from conditional identifiability and inference to prospectively specified empirical testing. It defines how a declared VGM prediction, measurement response, nuisance treatment, and inference procedur...

Conditional Identifiability and Inference for OFT-Derived VGM Measurement Predictions: Nuisance Geometry, Calibration, and an Exact Gaussian Benchmark

This paper develops a conditional inverse-analysis layer for OFT/VGM measurement predictions, following the forward-response framework of VGM XIV. It distinguishes equality of observation laws from equality of mean readouts, joint-parameter equivalence from nuisance-family overla...

Numerical Phase Construction in the OFT-Derived VGM Sector: Constraint-Preserving Continuation, Certified Branch Tracking, and Reproducible Atlas Generation

This paper develops a systematic numerical framework for constructing, tracking, and certifying physically admissible phase structures within the Organizational Field Theory (OFT)-derived Vectorial Gravitational Model (VGM). Building upon the preceding effective-field-theory desc...

Phase Architecture of the OFT-Derived VGM Sector: Control Manifolds, Stability Strata, and Critical Branch Transitions

Building upon the normalized effective-field-theory descent from Organizational Field Theory (OFT) to the Vectorial Gravitational Model (VGM), this paper develops a systematic mathematical framework for identifying, classifying, and testing physically admissible phase structures...

Existence and Consistency Conditions for a VGM Physical Response Law: Covariant Closure, Conservation, and the General-Relativistic Limit

This work investigates the existence and consistency conditions for a nontrivial physical response law within the VGM framework, formulated as an extension of the constructive architecture developed in Organizational Field Theory (OFT). The response tensor is derived from a covar...

OFT–VGM Constitutive Closure: From Organizational Dependency Architecture to Physically Admissible Response Laws

This work formulates the constitutive closure required to connect the constructive hierarchy of Organizational Field Theory (OFT) to the covariant physical-response sector of VGM. The full organizational ancestry, Ξ→Ω→κ→Φμ→Ψν\Xi \rightarrow \Omega \rightarrow \kappa \rightarrow \...

Static Spherical Realization of a VGM Physical Response Law: Exterior Massive-Vector Sector, Metric Backreaction, and Observable Residuals

This work develops a static, spherically symmetric realization of the VGM physical response framework, translating the general covariant response-law architecture into an explicit exterior field configuration. The analysis examines a massive-vector response sector, its induced me...

Constructive Observation Theory on Frozen Organizational Geometry: From Verified Numerical Solutions to Effective Predictions and Experimental Correspondence

This paper constructs the forward observation layer of Organizational Field Theory on the frozen geometry, solution architecture, and verified numerical realizations established through Papers 0–VII. Without modifying the inherited field equations, admissibility conditions, or so...

Constructive Solution Theory on Frozen Organizational Geometry: From Covariant Field Equations to Admissible Generation, Branches, and Effective Limits

This paper develops a constructive solution theory for the organizational field system established in Paper V. The configuration manifold, base metric, affine connection, and curvature are retained as frozen inherited geometry, while the organizational field, an independent field...

Constructive Solution Theory on Frozen Organizational Geometry: From Covariant Field Equations to Admissible Generation, Branches, and Effective Limits

This paper develops a constructive solution theory for the organizational field system established in Paper V. The configuration manifold, base metric, affine connection, and curvature are retained as frozen inherited geometry, while the organizational field, an independent field...

Constructive Observation Theory on Frozen Organizational Geometry: From Verified Numerical Solutions to Effective Predictions and Experimental Correspondence

This paper constructs the forward observation layer of Organizational Field Theory on the frozen geometry, solution architecture, and verified numerical realizations established through Papers 0–VII. Without modifying the inherited field equations, admissibility conditions, or so...

Constructive Organizational Field Dynamics: From Frozen Organizational Geometry to Covariant Field Evolution

This paper develops a constructive field-dynamical layer over the organizational geometry established in the preceding works of the Organizational Field Theory series. The configuration manifold, metric, affine connection, curvature, quotient structure, and inherited variational...

Constructive Organizational Field Dynamics: From Frozen Organizational Geometry to Covariant Field Evolution

This paper develops a constructive field-dynamical layer over the organizational geometry established in the preceding works of the Organizational Field Theory series. The configuration manifold, metric, affine connection, curvature, quotient structure, and inherited variational...

Constructive Organizational Geometry: From Configuration Structure to Transport, Connection, and Curvature

This paper develops the geometric layer of the Organizational Field Theory research program by examining how admissible organizational configurations can acquire a mathematically consistent geometric realization. Beginning with an organizational quotient rather than a preselected...

Rhombic Field Theory (RFT) Validation Chain V5.22: Schwarzschild Null-Geodesic Ray Tracing, Literature-Form Kernels, and the Global k_max(p, r_c) Benchmark

This technical report formalizes the V5.22 step of the Rhombic Field Theory (RFT) phenomenological validation chain. Its central numerical intervention is to replace the two-iteration curved-ray proxy used in V5.21 with an equatorial Schwarzschild null geodesic while holding fixe...

Flux-Aligned Stellar Cohesion Hypothesis: A Phenomenological Analysis of the Extreme Orbital Dynamics of S301 with the α-Alignment Operator

This preprint introduces the Flux-Aligned Stellar Cohesion Hypothesis (FASCH), a phenomenological application of the directional flux–electromagnetic alignment framework to the extreme orbit of S301 around Sagittarius A. The study investigates whether the α-alignment operator may...