A New Ontology Based on Mock Theta Functions
Holosystems – Ontological Security Division
Positioning
Holosystems develops a cryptographic architecture grounded not in inversion hardness, but in controlled structural non-identifiability.
Classical public-key cryptography relies on a silent axiom:
Public data uniquely determines the secret;
security depends on the computational difficulty of recovering it.
Our architecture breaks this axiom.
In the regime we implement, public data is:
Complete
Deterministic
Verifiable
Yet it does not canonically determine a single global identity.
The secret is not hidden.
It is structurally underdetermined by accessible observables.
This paradigm emerges from the mathematics of mock modular and mock theta functions — first introduced by Ramanujan, later formalized by Zwegers, and conceptually reframed by Zagier — and translated into a cryptographic system with formal attacker models, verification operators, and discrete implementations.
