This work explores a simple but often ignored question:

What if an AI system is allowed to not answer?

ΔX is a constraint-layer approach where output is conditional, not mandatory. Silence is treated as a valid system state, not a failure.

The goal is not better text generation, but behavioral justification: — when an answer is produced — when it is withheld — and why

All materials, protocols, and references are openly published on Zenodo. This is not a product launch, but a research disclosure.

Feedback, critique, and edge cases are welcome.