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May 16, 2026Open Access

The Independence of Existence and Identity: Why Persistence Theory Requires Q1/Q2 Separation

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Authors

MMMarc Maibom

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Overview

Demonstrates Q1/Q2 separation in persistence theory, indicating that identity does not imply existence.

Key Points

  • The aim is to establish the structural independence of existence (Q1) and identity (Q2) in persistence theory.
  • Formal proof of the Q1/Q2 Separation Theorem.
  • Analysis of six domains to demonstrate structural separation: cognitive change, material replacement, organizational identity, personal development, political continuity, and mind-upload scenarios.
  • Development of the four-regime architecture consisting of Persistence, Transmutation, Collapse, and Dissolution.
  • Q2 presupposes Q1; existence does not guarantee identity, as established by Theorems 1-5.
  • Identity without existence is impossible; existence without identity is possible in certain conditions (Transmutation).
  • The structural impossibility ¬Q1 ∧ Q2 demonstrates that some combinations are not feasible.

Cite This Study

Marc Maibom (2026) studied this question.

synapsesocial.com/papers/6a0809d7a487c87a6a40ba0fhttps://doi.org/10.5281/zenodo.20183798
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Also Consider

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  1. 1Existence and Identity - Why the Persistence Debate Has Not Converged and What Resolves It2026
  2. 2Why the Identity Debate Did Not Converge: Eight Theories of Persistence and the Structural Conditions They Could Not Derive2026
  3. 3The Logical Architecture of Persistence - Minimal Assumptions, Derived Necessities, Formal Proofs, and the Regime Structure of Persistent Identity2026
  4. 4The Identity of Physical Order - A Formal Distinction Between Existence and Identity of Ordered States2026
  5. 5La Profilée - Structural Persistence and the Limits of Parfitian Reductionism2026