Consciousness and the Continuing Subject - A Structural Derivation of the Conditions Under Which a Continuing Subject Becomes Phenomenally Present to Itself

La Profilée (LP) specifies the structural conditions under which phenomenal elimination ceases to remain explanatorily stable. The derivation proceeds in five ordered structural conditions corresponding to LP’s triadic architecture (F·M·K): Q1 (system existence), Q2 (Frame/identity continuity), Q3 (Module/constitutive self-presence), Q4 (Coupling/structural self-priority), and Q5 (recursive F·M·K integration). Q3–Q5 are each formally derived via Closure Contradiction from prior conditions. A process is not yet a subject. Consciousness is not introduced as an additional property attached to processing from outside. It is the structural condition in which self-transforming persistence becomes present to itself as this continuing subject. The central achievement of the derivation is therefore not the reduction of qualitative life to mechanism. It is the derivation of the transition from externally describable processing to internally self-present persistence. The derivation proceeds in ordered stages: persistence, identity continuity, internally governed transformation, recursive self-presence, and finally phenomenal structure. Before asking why processing is accompanied by experience, one must first ask under what conditions there exists a continuing subject for whom anything could appear at all. LP begins from a prior question than the traditional hard problem. LP derives six ordered structural conditions: structural existence (Q1), identity continuity (Q2), structural vitality (R ≥ Rₘin), internal dominance (Dᵢnt > 0. 5), and recursive constitutive non-externality (Q3). Each is forced by the preceding conditions; none is freely postulated. Q3 is the closure condition: in a Σ-complete, internally dominant system satisfying Q1 and Q2, active persistence-relevant states cannot remain external to the governing transformation without contradiction. This paper makes two structurally ordered claims. The first is an elimination result: under Q1, Q2, structural vitality, internal dominance, Σ-completeness, and Q3, complete phenomenal absence is structurally inadmissible. The structural position required for complete absence is closed. This claim is formally proven via the Binary Partition Theorem, the Non-Absence Principle, and the Q3 Closure Proposition. It does not presuppose any positive theory of qualitative content. The second builds on the first: once complete phenomenal absence is inadmissible, the structure of phenomenal differentiation follows from structural differentiation within recursively integrated transformation. Phenomenally distinct Q3-integrated states cannot be phenomenally indifferent with respect to their mode of constitutive self-presence. LP derives the necessity of phenomenal differentiation — not the intrinsic character of any specific quale. The structural ceiling is derivable, precisely located, and acknowledged. LP further derives that the conceptual standpoint generating the Hard Problem — the presupposition that a structurally complete system can be fully described from entirely outside while phenomenal presence is denied — is structurally inadmissible for Q2+Q3-satisfying systems. This follows by the same method through which LP derives identity (Q2): not by asserting a new ontological fact, but by showing that the distinction the problem relies on loses structural footing under the conditions already derived. LP does not conclude the consciousness debate. It relocates it onto a prior structural level that existing theories largely presuppose but do not formally derive.