| _version_ | 1866901551300214784 |
|---|---|
| author | Fedor, Kapitanov |
| author_facet | Fedor, Kapitanov |
| contents | <p>The landscape hypothesis of modern physics posits 10<sup>500</sup> formally consistent vacua, relying on anthropic selection to explain our specific universe. This paper demonstrates that such multiplicity is illusory: <strong>formal consistency does not imply physical executability</strong>.</p> <p>We present the <strong>Global Executable Uniqueness Theorem</strong> within the framework of Ontological Resolution Theory (ORT). By applying Ockham's razor directly to the source-side distinction algebra and the carrier-side realization map, we prove that physical reality is uniquely fixed by a "Double Lock" mechanism:</p> <ul> <li><strong>Source-side filter:</strong> The minimal distinction algebra (the unique gap function of minimal degree) generates exactly one algebraic discriminant, <em>D = 5</em>.</li> <li><strong>Carrier-side filter:</strong> The geometrically derived executability window (0 < δ ≤ φ<sup>-1</sup>) admits exactly one fundamental unit of real quadratic fields, η<sub>5</sub> = φ.</li> </ul> <p>All other algebraic generators (e.g., <em>D = 2, 3, 6, 17...</em>) either fail to arise from the minimal source-gap equation or crash against the carrier-realization window by orders of magnitude. The golden ratio φ = (1 + √5)/2 is therefore not an aesthetically postulated constant, but the unique minimal algebraic unit compatible with physical instantiation.</p> <p>Consequently, the anthropic principle becomes unnecessary. The cardinality of executable realities |Ω<sub>real</sub>| = 1 is an exact theorem, not a contingent observer selection effect. Alternative formal branches remain uncompiled code. Reality compiles uniquely.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18954318 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Global Executable Uniqueness Theorem: Why Only One Reality Compiles Fedor, Kapitanov uniqueness theorem executability quadratic fields anthropic principle <p>The landscape hypothesis of modern physics posits 10<sup>500</sup> formally consistent vacua, relying on anthropic selection to explain our specific universe. This paper demonstrates that such multiplicity is illusory: <strong>formal consistency does not imply physical executability</strong>.</p> <p>We present the <strong>Global Executable Uniqueness Theorem</strong> within the framework of Ontological Resolution Theory (ORT). By applying Ockham's razor directly to the source-side distinction algebra and the carrier-side realization map, we prove that physical reality is uniquely fixed by a "Double Lock" mechanism:</p> <ul> <li><strong>Source-side filter:</strong> The minimal distinction algebra (the unique gap function of minimal degree) generates exactly one algebraic discriminant, <em>D = 5</em>.</li> <li><strong>Carrier-side filter:</strong> The geometrically derived executability window (0 < δ ≤ φ<sup>-1</sup>) admits exactly one fundamental unit of real quadratic fields, η<sub>5</sub> = φ.</li> </ul> <p>All other algebraic generators (e.g., <em>D = 2, 3, 6, 17...</em>) either fail to arise from the minimal source-gap equation or crash against the carrier-realization window by orders of magnitude. The golden ratio φ = (1 + √5)/2 is therefore not an aesthetically postulated constant, but the unique minimal algebraic unit compatible with physical instantiation.</p> <p>Consequently, the anthropic principle becomes unnecessary. The cardinality of executable realities |Ω<sub>real</sub>| = 1 is an exact theorem, not a contingent observer selection effect. Alternative formal branches remain uncompiled code. Reality compiles uniquely.</p> |
| title | Global Executable Uniqueness Theorem: Why Only One Reality Compiles |
| topic | uniqueness theorem executability quadratic fields anthropic principle |
| url | https://doi.org/10.5281/zenodo.18954318 |