Status as a Compensatory Layer_ Invariant Substitution Under Measurement Opacity

Abstract All persistent systems are governed by a scalar invariant that determines stability under perturbation. When that invariant can be directly evaluated at the rate required for coordination, selection proceeds by direct measurement. When it cannot, selection must proceed indirectly. This paper formalizes that necessity. We prove that under conditions of measurement opacity—where candidate generation exceeds evaluation capacity—systems are forced to substitute an indirect selection mechanism to preserve persistence. This substitution does not replace the governing invariant; it replaces access to it. The result is a compensatory layer that routes selection when direct evaluation is infeasible and deactivates when measurement becomes sufficient again. The invariant substitution law is structural and domain-independent. It follows from scale, bandwidth, and selection alone, without appeal to psychology, sociology, or normative assumptions.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-17
DOI
https://doi.org/10.5281/zenodo.17959504
Primary Topic
Game Theory and Applications
Type
article
Field-Weighted Citation Impact
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article

Status as a Compensatory Layer_ Invariant Substitution Under Measurement Opacity

Zenodo (CERN European Organization for Nuclear Research)
Game Theory and Applications
article

Status as a Compensatory Layer_ Invariant Substitution Under Measurement Opacity

article en

Abstract

Abstract All persistent systems are governed by a scalar invariant that determines stability under perturbation. When that invariant can be directly evaluated at the rate required for coordination, selection proceeds by direct measurement. When it cannot, selection must proceed indirectly. This paper formalizes that necessity. We prove that under conditions of measurement opacity—where candidate generation exceeds evaluation capacity—systems are forced to substitute an indirect selection mechanism to preserve persistence. This substitution does not replace the governing invariant; it replaces access to it. The result is a compensatory layer that routes selection when direct evaluation is infeasible and deactivates when measurement becomes sufficient again. The invariant substitution law is structural and domain-independent. It follows from scale, bandwidth, and selection alone, without appeal to psychology, sociology, or normative assumptions.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 31%
Game Theory and Applications
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