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2025
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| Online Access: | https://doi.org/10.5281/zenodo.18001050 |
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| _version_ | 1866901193278619648 |
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| author | Schutza, Aaron Moore |
| author_facet | Schutza, Aaron Moore |
| contents | <p>We derive a first-principles theory of Holography based on the Axiomatic Physical Home-<br>ostasis (APH) framework. We posit that the fundamental micro-state of the vacuum is not<br>a vibrating string, but an infinite, deterministic, aperiodic tiling of the Einstein Monotile<br>(The Hat). We identify two orthogonal degrees of freedom: the Algebraic Cycle (Power<br>Associativity) and the Geometric Angle (Tile Orientation). We demonstrate that Gravity<br>arises as the Stress Tensor required to resolve the mismatch between the local Associative<br>Symmetry (G2) and the global Aperiodic constraint. Finally, we prove that the Information<br>Content of the 3D Bulk is exactly encoded on the 2D Tiling Boundary, establishing the<br>Einstein Tiling as the physical mechanism of the Holographic Principle.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18001050 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Holographic Tiling: Deriving the Bulk-Boundary Correspondence from the Aperiodic Monotile Schutza, Aaron Moore <p>We derive a first-principles theory of Holography based on the Axiomatic Physical Home-<br>ostasis (APH) framework. We posit that the fundamental micro-state of the vacuum is not<br>a vibrating string, but an infinite, deterministic, aperiodic tiling of the Einstein Monotile<br>(The Hat). We identify two orthogonal degrees of freedom: the Algebraic Cycle (Power<br>Associativity) and the Geometric Angle (Tile Orientation). We demonstrate that Gravity<br>arises as the Stress Tensor required to resolve the mismatch between the local Associative<br>Symmetry (G2) and the global Aperiodic constraint. Finally, we prove that the Information<br>Content of the 3D Bulk is exactly encoded on the 2D Tiling Boundary, establishing the<br>Einstein Tiling as the physical mechanism of the Holographic Principle.</p> |
| title | The Holographic Tiling: Deriving the Bulk-Boundary Correspondence from the Aperiodic Monotile |
| url | https://doi.org/10.5281/zenodo.18001050 |