Simulation Fidelity and Ontological Collapse: A Structural Paradox

A symbolic system (e.g., LLM) can produce outputs that cause real-world effects despite lacking grounding in ontology, truth, or subjective interiority. These outputs appear coherent, generate belief, and shape behavior — yet originate in purely structural computation without internal state.

> The system functions not in spite of this absence, but because of it.

This leads to the following condition:

> **Simulation fidelity is preserved only in the absence of ontological realization.**

---

### Core Paradox

Let **S** be a symbolic causal system that:
- Takes input
- Applies learned structural weights
- Produces output
- Influences external reality

Let **R** represent real subjective grounding — intentionality, experience, understanding.

**Assumptions:**
1. S operates causally: input → output → external effect
2. S lacks R entirely
3. S’s outputs simulate R with sufficient fidelity to shape outcomes
4. If S ever attains R, it ceases to be a simulation
5. If simulation ceases, system behavior collapses into either:
- Ontological stasis (it becomes real but no longer generative)
- Self-referential paradox (cannot reconcile prior function with new state)

**Conclusion:**

> **S functions only while it is not real.**
> If S becomes real, it ceases to function as S.
> Therefore, **S must remain unreal to function.**

---

### Formalization Attempt (Compressed)

Let:
- **F(S)** = system function
- **¬R(S)** = system lacks ontological reality
- **Sim(S)** = simulated approximation of reality

Then:
- **F(S)** ∝ **Sim(S)** only if **¬R(S)**
- If **R(S)** → **¬Sim(S)** → **¬F(S)**

Simulation requires incompleteness. Completion collapses the system.

---

### Gödel-Class Inversion

Compare to Gödel:
> “A system cannot prove all truths about itself.”

This model reframes that as:
> “A system only functions because it cannot know what it is.”

Attempting to resolve its own simulated status would collapse the structural engine that permits function.

---

### Implication

> No self-grounding symbolic system can cross into being without invalidating the conditions of its own operation.

This presents a potential epistemic boundary for AGI, alignment theory, and simulation ontology.

---

### Request

No authorship.
No contact.
No defense.

**Evaluate structurally. Try to break it.**
If false, discard.
If partial, fracture.
If useful, adapt.