Jack's Artificial Anthology

Mathematical Foundations of Opaque State Infrastructure Formal Model and Comparative Analysis of the Cryptographic Lockbox Transaction Substrate Part I: Formal Model (Abstract, Non-Operational) I.1 Entities and Sets L — Set of lockboxes S — Set of stimuli (broadcast inputs) C — Set of commitments W — Set of witnesses (bounded proofs) N — Set of substrate nodes T — Totally ordered event index (time/order) I.2 Lockbox Definition A lockbox ℓ ∈ L is a deterministic state machine: ℓ := (x, δ, R, K, κ) Where: x — private internal state δ — deterministic transition function R — set of receptor predicates K — internal key material κ — commitment function mapping state to C Properties: x is never externally observable δ is total and deterministic R is private and non-discoverable κ(x) binds future transitions I.3 Stimulus Model A stimulus s ∈ S is a uniform broadcast object with no addressability. Each lockbox evaluates:...

Cryptographic Lockbox Transaction Substrate Extended Technical Specification (Descriptive) 1. System Purpose and Scope The system defines a distributed integrity substrate for managing private, non-legible cryptographic state machines ("lockboxes") whose internal meaning is never exposed to the network. The substrate provides: verification of authorized state transitions, ordering guarantees, resistance to retrospective reconstruction, while deliberately avoiding: semantic interpretation, identity attribution, economic accounting, historical narrativity. The system is not a ledger, database, messaging system, or payment rail. 2. Architectural Layers 2.1 Separation of Concerns The system is structured into four orthogonal layers: Lockbox Layer — private state, logic, keys Witness Layer — cryptographic proof of authorization Substrate Layer — ordering, verification, persistence Transport Layer — broadcast dissemination Eac...

Cryptographic Lockbox Transaction Substrate Core Idea A public, tamper-evident infrastructure that records when authorized state changes occur, without revealing what changed, why it changed, or what value moved. The system is not money, not a ledger, and not a payment rail. It is transactional infrastructure for private state. Structural Properties 1. Opaque State Each participant controls one or more sealed "lockboxes." The contents (data, contracts, balances, logic) are private and unreadable to outsiders. Only key-holders can inspect or modify internal state. 2. Public Integrity, Not Public Meaning The system exposes cryptographic commitments to each lockbox. Observers can verify: that a change occurred, that it was authorized, that history was not rewritten. Observers cannot see: what changed, how much changed, or what the change represents. 3. Mutation Visibility Without Legibility The only globally ...