General Theory of the Anomalon - Typed Residual Closure and the Anomalon Terminal

GTTA is the typed residual-closure role Ω_ΛΩ in the Omega Tower. It classifies residue that remains after declared obstructionchecks, transport, comparison, completion, and finite-shadow closure attempts. GTTA does not create authority from anomaly. It terminalizes non-absorbed residue into visible, typed outcomes. The release defines residuals, closure attempts, non-absorption, anomalon terminals, residual classifiers, residual transport, residual refusal, and the unified exact / closed-survivor / open trichotomy. It separates residual classification from origin claims and authority claims. The Anomalon denotes a typed residual terminal, not a second name for the layer and not an origin-of-difference principle. The `GTTA-14` authority firewall remains conditional until its explicit co-inhabitation witness clause is discharged. The `GTTA-18` Feynman-shadow application bridge remains a sketch with declared cofinality and convergence obligations.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20472003
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

General Theory of the Anomalon - Typed Residual Closure and the Anomalon Terminal

Jeremy H. Carroll
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

General Theory of the Anomalon - Typed Residual Closure and the Anomalon Terminal

Jeremy H. Carroll
preprint en

Abstract

GTTA is the typed residual-closure role Ω_ΛΩ in the Omega Tower. It classifies residue that remains after declared obstructionchecks, transport, comparison, completion, and finite-shadow closure attempts. GTTA does not create authority from anomaly. It terminalizes non-absorbed residue into visible, typed outcomes. The release defines residuals, closure attempts, non-absorption, anomalon terminals, residual classifiers, residual transport, residual refusal, and the unified exact / closed-survivor / open trichotomy. It separates residual classification from origin claims and authority claims. The Anomalon denotes a typed residual terminal, not a second name for the layer and not an origin-of-difference principle. The `GTTA-14` authority firewall remains conditional until its explicit co-inhabitation witness clause is discharged. The `GTTA-18` Feynman-shadow application bridge remains a sketch with declared cofinality and convergence obligations.

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Logic, programming, and type systems
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