The Emergence of the Spherical Form via Topological Angular Mathematics (MAT)
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866901748306673664 |
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| author | Moulin, Pascal |
| author_facet | Moulin, Pascal |
| contents | <p>This article introduces **Topological Angular Mathematics ($\mathbf{MAT}$)**, a new formalism derived from the Angular Unification Theory ($\mathbf{TAU}$). $\mathbf{MAT}$ postulates that physical geometry is a **Specific Angular Topological Configuration ($\mathbf{CATS}$)** of fundamental units, the $\mathbf{QRDs}$. We apply $\mathbf{MAT}$ to the study of the **sphere ($\mathbf{G}_{\text{Sphere}}$)**, demonstrating that it represents the $\mathbf{CATS}$ that minimizes the surface Angular Potential ($\mathbf{\LambdaCoh}$) under the constraint of the Critical Pressure ($\mathbf{\Pcrit}$). The $\mathbf{G}_{\text{Sphere}}$ is characterized by a constant invariant of the **Angular Configuration Tensor ($\mathbf{T}_{\mathbf{CATS}}$)**, defining the most homogeneous curvature possible.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18060759 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Emergence of the Spherical Form via Topological Angular Mathematics (MAT) Moulin, Pascal Spherical Form Topological Angular Mathematics Angular Unification Theory surface Angular Potential Critical Pressure <p>This article introduces **Topological Angular Mathematics ($\mathbf{MAT}$)**, a new formalism derived from the Angular Unification Theory ($\mathbf{TAU}$). $\mathbf{MAT}$ postulates that physical geometry is a **Specific Angular Topological Configuration ($\mathbf{CATS}$)** of fundamental units, the $\mathbf{QRDs}$. We apply $\mathbf{MAT}$ to the study of the **sphere ($\mathbf{G}_{\text{Sphere}}$)**, demonstrating that it represents the $\mathbf{CATS}$ that minimizes the surface Angular Potential ($\mathbf{\LambdaCoh}$) under the constraint of the Critical Pressure ($\mathbf{\Pcrit}$). The $\mathbf{G}_{\text{Sphere}}$ is characterized by a constant invariant of the **Angular Configuration Tensor ($\mathbf{T}_{\mathbf{CATS}}$)**, defining the most homogeneous curvature possible.</p> |
| title | The Emergence of the Spherical Form via Topological Angular Mathematics (MAT) |
| topic | Spherical Form Topological Angular Mathematics Angular Unification Theory surface Angular Potential Critical Pressure |
| url | https://doi.org/10.5281/zenodo.18060759 |