What question did this study set out to answer?

The aim is to define the conditions that allow a system to maintain its identity during transformations.

March 27, 2026Open Access

La Profilée — The Persistence Boundary - A Necessary Constraint on All Real Systems

Key Points

The aim is to define the conditions that allow a system to maintain its identity during transformations.
Analyzing minimal assumptions about system states and transformations
Exploring concepts of distinguishable states and irreversibility
Deriving implications of structural constraints on system identity
Identity erosion begins when structural constraints are violated
Persistence in systems is only feasible under specific conditions
Transformations must follow strict rules to maintain system identity

Abstract

All sciences describe how systems behave under transformation.None defines the condition under which a system can remain the same system at all. From minimal assumptions — distinguishable states, realizable transformation, and irreversibility — it follows that persistence is only possible under a strict structural constraint: If this condition is violated, identity erosion is already structurally in progress.

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