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| Formato: | Recurso digital |
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Zenodo
2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.19785851 |
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- <p>TITLE:<br>UAU-Logos: Unified Adaptive Utility Framework for Cross-Domain Process Measurement</p> <p>--------------------------------------------------</p> <p>1. ABSTRACT</p> <p>This work defines a formalized measurement framework (UAU) designed to evaluate heterogeneous systems (biological, physical, informational, economic) through a unified scalar function:</p> <p>UAU = (η × N_free) / T</p> <p>where η represents efficiency of transformation, N_free represents available system resources, and T represents temporal processing scale.</p> <p>The framework aims to provide a domain-agnostic metric for comparing process efficiency across systems.</p> <p>--------------------------------------------------</p> <p>2. CORE MODEL</p> <p>BASE EQUATION:</p> <p>UAU = (η × N_free) / T</p> <p>PARAMETERS:</p> <p>η (efficiency coefficient):<br> η ∈ [0,1]<br> represents conversion efficiency from resources to structured output</p> <p>N_free (resource availability):<br> scalar representation of usable system energy, information, or capacity</p> <p>T (time scale):<br> T > 0<br> effective transformation interval of system state</p> <p>--------------------------------------------------</p> <p>3. SYSTEM INTERPRETATION LAYER</p> <p>UAU is applied to multiple domains:</p> <p>- Biological systems → metabolic efficiency<br>- Physical systems → energy transformation efficiency<br>- Economic systems → resource allocation efficiency<br>- Informational systems → computation efficiency (LLMs, algorithms)</p> <p>--------------------------------------------------</p> <p>4. NORMALIZATION PRINCIPLE</p> <p>All systems are mapped into a comparable form:</p> <p> input state → transformation → output state</p> <p>UAU measures the ratio of useful structured output per unit time.</p> <p>--------------------------------------------------</p> <p>5. EXTENDED FRAME (OPTIONAL LAYER)</p> <p>Derived comparative form:</p> <p>UAU_systemA / UAU_systemB → relative efficiency index</p> <p>Used for cross-system benchmarking.</p> <p>--------------------------------------------------</p> <p>6. LIMITATIONS</p> <p>- Not a predictive causal model<br>- Not a physical law<br>- Requires empirical calibration per domain<br>- Sensitive to definition of η and N_free</p> <p>--------------------------------------------------</p> <p>7. INTENDED USE</p> <p>- comparative system analysis<br>- abstraction of process efficiency<br>- cross-domain modeling language</p> <p>--------------------------------------------------</p> <p>8. IMPLEMENTATION CONTEXT</p> <p>Designed for:<br>- computational simulation frameworks<br>- AI system evaluation layers<br>- scientific meta-modeling environments</p> <p>--------------------------------------------------</p> <p>END OF SPECIFICATION</p>