The Four Implicit Axioms of Static Life Cycle Assessment and Their Structural Failure in Non-Linear Environmental Systems

Static life cycle assessment treats a waste as a fixed, classified unit. This paper names the four implicit axioms underlying that practice (point estimation, linear characterization, path independence, categorical invariance), gives a taxonomy of eight failure modes, and proves four theorems: a finite prediction horizon (Lorenz), bimodal statistics near a fold, the impossibility of a single characterization factor under non-monotonic dose-response, and the predictive blindness of a fixed threshold near a bifurcation. This record contains both the French and the English version (PDF). Theory article of the program 'Waste as dynamical systems'.(Titre français / French title : Les quatre axiomes implicites de l'ACV statique et leur échec structurel dans les systèmes environnementaux non linéaires)

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-16
DOI
https://doi.org/10.5281/zenodo.20717151
Primary Topic
Probabilistic and Robust Engineering Design
Type
preprint
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preprint

The Four Implicit Axioms of Static Life Cycle Assessment and Their Structural Failure in Non-Linear Environmental Systems

Theo Piens
Zenodo (CERN European Organization for Nuclear Research)
Probabilistic and Robust Engineering Design
preprint

The Four Implicit Axioms of Static Life Cycle Assessment and Their Structural Failure in Non-Linear Environmental Systems

Theo Piens
preprint en

Abstract

Static life cycle assessment treats a waste as a fixed, classified unit. This paper names the four implicit axioms underlying that practice (point estimation, linear characterization, path independence, categorical invariance), gives a taxonomy of eight failure modes, and proves four theorems: a finite prediction horizon (Lorenz), bimodal statistics near a fold, the impossibility of a single characterization factor under non-monotonic dose-response, and the predictive blindness of a fixed threshold near a bifurcation. This record contains both the French and the English version (PDF). Theory article of the program 'Waste as dynamical systems'.(Titre français / French title : Les quatre axiomes implicites de l'ACV statique et leur échec structurel dans les systèmes environnementaux non linéaires)

Zenodo (CERN European Organization for Nuclear Research)
Responsible consumption and production
Probabilistic and Robust Engineering Design
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