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Other literature type . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Project milestone . 2026
License: CC BY
Data sources: Datacite
ZENODO
Project milestone . 2026
License: CC BY
Data sources: Datacite
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Geometric–Structural Layer Closure (Pasev): Introduction to Research Program

Authors: Pasev, Ivan;

Geometric–Structural Layer Closure (Pasev): Introduction to Research Program

Abstract

This work introduces the Geometric–Structural Layer Closure program, a formally defined mathematical framework for constructing geometric systems based on well-founded hierarchical structures, fiber bundle organization, and invariant-preserving transformations. The program addresses the absence of fully explicit and internally closed formulations in geometric unification approaches. It establishes a structure-first methodology in which all primary objects, mappings, and constraints are explicitly defined within a well-founded set-theoretic context. The framework is developed as a layered system: • Geometric Unity I – Foundational Structures • Geometric Unity II – Operators and Relational Geometry • Geometric Unity III – Structural Consistency, Limitations, and Closure Each layer extends the previous while preserving compatibility, invariance, and hierarchical integrity. This document defines the conceptual, methodological, and structural basis of the program and establishes its epistemic position as a pre-physical mathematical framework. The program is developed within the Global Institute of Logic & Cybernetics (GILC) and operates under the formal logic architecture of Digital Fabrica Theory (DFT).

Keywords

Geometric Structures, Ivan Pasev, Digital Fabrica Theory, Geometric Unity, Fiber Bundles, Geometry, Mathematical Foundations, Cybernetics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Green