The Ontological Shift
Modern cryptography operates in two security regimes:
- Information-theoretic secrecy (e.g., one-time pad)
- Computational inversion hardness (RSA, ECC, lattice-based PQC)
We introduce a third regime:
- Controlled Non-Identifiability
In this regime:
- Public transcripts are compatible with exponentially many valid private completions.
- Identity selection requires global data not present in the observable category.
- Verification does not collapse ambiguity.
- Security arises from epistemic asymmetry, not computational obscurity.
This is not obfuscation.
It is a categorical separation between:
- Local observables
- Global identity
- Quantum acceleration does not create information that is not present.
This makes the architecture orthogonal to Shor-style inversion attacks and not directly reducible to known hidden subgroup structures.