Fundamental Critique, Systemic Positioning, and Physical Unification of Riemannian Geometry

This paper provides a foundational critique and systemic positioning of Riemannian geometry within Pythagorean Frustum Unified System II (V11.4). It identifies limitations of the continuous manifold assumption, reinterprets Riemannian geometry as a local approximation of discrete coupling structure, and proposes a unified geometric reconstruction under five-element closure and the bicone model.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-27
DOI
https://doi.org/10.5281/zenodo.19820776
Primary Topic
Control and Stability of Dynamical Systems
Type
article
Field-Weighted Citation Impact
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article

Fundamental Critique, Systemic Positioning, and Physical Unification of Riemannian Geometry

Zhenmin Wang
Zenodo (CERN European Organization for Nuclear Research)
Control and Stability of Dynamical Systems
article

Fundamental Critique, Systemic Positioning, and Physical Unification of Riemannian Geometry

Zhenmin Wang
article en

Abstract

This paper provides a foundational critique and systemic positioning of Riemannian geometry within Pythagorean Frustum Unified System II (V11.4). It identifies limitations of the continuous manifold assumption, reinterprets Riemannian geometry as a local approximation of discrete coupling structure, and proposes a unified geometric reconstruction under five-element closure and the bicone model.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Control and Stability of Dynamical Systems
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