The Context-Abstraction Limit: Deriving the Critical Token Boundary in Interferometric Sector-Gate AGI
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2025
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| _version_ | 1866902326492528640 |
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| author | de ceuster, peter |
| author_facet | de ceuster, peter |
| contents | <p>We investigate the fundamental tension between context window scale and conceptual<br>abstraction in Artificial General Intelligence (AGI) architectures. Contrary to the prevailing<br>assumption that ”more context is always optimal,” we propose a governing computing law—<br>the Wolfram-AGI Limit—which defines a critical phase transition boundary. Below this<br>boundary, increased token count enhances the fidelity of the vector embedding; above it,<br>gate-limited tunneling capacities in the topological core induce decoherence, degrading the<br>quality of the Perfect Abstraction.<br>Building upon the Tunneling-First Principle [De Ceuster, 2025] and Sector-Gate Dynam-<br>ics, we construct a variational objective function that balances the Information Bottleneck<br>against the decoherence penalty of high-dimensional context. We mathematically demon-<br>strate that the optimal context window is not infinite but is strictly bounded by the ratio<br>of information density to the interferometric capacity of the ParityFuse gates. We conclude<br>by presenting the exact equation for this boundary, providing a theoretical target for fu-<br>ture 10-million-token experiments. The name of our law pays tribute to the founder of the<br>WolframAlpha system.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17923954 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Context-Abstraction Limit: Deriving the Critical Token Boundary in Interferometric Sector-Gate AGI de ceuster, peter AGI AI <p>We investigate the fundamental tension between context window scale and conceptual<br>abstraction in Artificial General Intelligence (AGI) architectures. Contrary to the prevailing<br>assumption that ”more context is always optimal,” we propose a governing computing law—<br>the Wolfram-AGI Limit—which defines a critical phase transition boundary. Below this<br>boundary, increased token count enhances the fidelity of the vector embedding; above it,<br>gate-limited tunneling capacities in the topological core induce decoherence, degrading the<br>quality of the Perfect Abstraction.<br>Building upon the Tunneling-First Principle [De Ceuster, 2025] and Sector-Gate Dynam-<br>ics, we construct a variational objective function that balances the Information Bottleneck<br>against the decoherence penalty of high-dimensional context. We mathematically demon-<br>strate that the optimal context window is not infinite but is strictly bounded by the ratio<br>of information density to the interferometric capacity of the ParityFuse gates. We conclude<br>by presenting the exact equation for this boundary, providing a theoretical target for fu-<br>ture 10-million-token experiments. The name of our law pays tribute to the founder of the<br>WolframAlpha system.</p> |
| title | The Context-Abstraction Limit: Deriving the Critical Token Boundary in Interferometric Sector-Gate AGI |
| topic | AGI AI |
| url | https://doi.org/10.5281/zenodo.17923954 |