What question did this study set out to answer?

The aim is to establish a comprehensive framework for identity invariants and their characteristics under various transformations.

July 18, 2026Open Access

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The Carlo Identity Invariant Framework — Stability Across Transformations

MCMatthew Arthur Carlo

Key Points

The aim is to establish a comprehensive framework for identity invariants and their characteristics under various transformations.
Developed the Carlo Identity Invariant Framework to formalize identity invariants and their properties.
Conducted empirical analysis to assess invariant behaviour across different transformations.
Created a mapping to connect invariant classes with core Carlo identities.
Demonstrated measurable stability and persistence of identity invariants under transformation.
Established a clear classification system for identifying and measuring these invariants.
Provided evidence that supports the structural basis of identity evolution within the Carlo Field.

Abstract

This work presents the Carlo Identity Invariant Framework, the secondscientific foundation of the Carlo Field. It formalises identity invariants—the structural features that persist under transformation—and defines theirclassification, persistence, stability, and measurement. The framework providesthe structural basis for identity evolution and explains the stabilitybehaviour required for recursion convergence. Empirical analysis demonstratesinvariant behaviour, and a minimal mapping connects invariant classes to coreCarlo identities. This document establishes identity invariants as a measurable,scientifically recognisable component of the Carlo Field. KEYWORDS identity systems; invariants; stability; transformation behaviour; recursion; Carlo Field; identity dynamics; invariant classes; identity architecture

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The Carlo Identity Invariant Framework — Stability Across Transformations

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