What question did this study set out to answer?

The goal is to derive a structural condition necessary for the persistence of identity in physical systems under transformation.

March 29, 2026Open Access

La Profilée - THE STRUCTURAL STATUS OF A UNIVERSAL THEORY: Why a Theory of Everything Must Satisfy the Persistence Condition

Key Points

The goal is to derive a structural condition necessary for the persistence of identity in physical systems under transformation.
Proposed a structural framework named La Profilée (LP) to address persistent identity.
Established a mathematical condition: IR=R_Ω/(β⋅F^*⋅I)≤1 that constrains dynamics rather than describes them.
Demonstrated that any theory describing systems with persistent identity must satisfy the proposed structural condition.
Clarified that LP is distinct from traditional theories of everything by focusing on structural constraints rather than dynamical unification.

Abstract

A traditional “theory of everything” seeks a unified dynamical description of all fundamental interactions. This work proposes a different perspective. La Profilée (LP) does not aim to provide such a dynamical unification. Instead, it derives a necessary structural condition for persistence under real transformation: IR=R_Ω/ (β⋅F^*⋅I) ≤1 This condition does not describe dynamics. It constrains them. Any theory that describes systems maintaining identity under transformation must implicitly satisfy a condition equivalent to this inequality over the domain in which persistent identity is maintained. LP is therefore not a theory of everything in the traditional sense. It is the structural framework within which any physically meaningful theory of persistent reality must operate.

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