What question did this study set out to answer?

The aim is to demonstrate that all non-trivial persistence problems create a unique global persistence structure in systems.

April 10, 2026Open Access

La Profilée - The Inevitability of the Global Persistence Problem - A Final Bridge to Structural Necessity

Key Points

The aim is to demonstrate that all non-trivial persistence problems create a unique global persistence structure in systems.
Analyzed relationships between persistence problems and structural laws
Combined results from the Persistence Admissibility Theorem and Admissibility Necessity Theorem
Established a mathematical constraint involving real systems
Confirmed that every real system under transformation is bound by a unique global constraint
Showed that global persistence laws are essential and not optional formulations

Abstract

This paper establishes that every non-trivial persistence problem necessarily induces a global persistence structure. Combined with the Persistence Admissibility Theorem (PAT) and the Admissibility Necessity Theorem, this yields: every real system facing persistence under transformation is governed by a unique global constraint R ≤ F·M·K. Global persistence laws are not optional formulations. They are structurally unavoidable.

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Marc Maibom

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La Profilée - The Inevitability of the Global Persistence Problem - A Final Bridge to Structural Necessity

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Abstract

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