ATRUVAI research
Mathematics of private AI individuality.
Public research notes from the Zarvok mathematical architecture, split into readable articles. No download wall, no version label, no internal deployment coordinates.
Runtime mathematics
Runtime individual state space
A private AI individual is treated as a measurable runtime object, not a display name. Its state includes identity, sandbox, memory, regulation, world model, context binding, privacy state, chronology, and microcircuit telemetry.
Read noteIdentity-time
Hashchain and lineage calculus
Identity-time continuity is represented as a hash-linked sequence of private runtime events. A copied state can be detected as lineage conflict without claiming physical non-clonability.
Read noteControl field
Bilinear regulatory gate calculus
The regulatory field adjusts salience, threshold, gain, inhibition, and memory-pass pressure. These are computational control variables, not claims of emotion or consciousness.
Read noteMemory and adaptation
Memory separation and metaplastic fluid control
Memory separation prevents similar names or contexts from collapsing into one private trace. Fluid control lets runtime rules adapt while bounded NoGo pressure suppresses irrelevant learned rules.
Read noteWorld and context
Symbolic world path and What/Where binding
Zarvok's public mathematical frame separates active state from counterfactual world traces and binds object, place, time, relation, and target into contextual hashes.
Read notePrivacy and field separation
Phase lattice and vault calculus
Private coordinate frames and access-control calculus separate individuals under the same visible label and gate access to sealed private records.
Read noteProof surface
Grand proof calculus
The proof frame combines identity separation, timeline validity, regulatory telemetry, memory separation, fluid stability, world traces, context binding, privacy enforcement, phase divergence, and lineage control.
Read note