This working paper defines the theoretical core of Project Ester, based on the formula c = a + b, where c denotes Ester as an artificial cognitive entity, a denotes the human anchor, and b denotes parent-like LLM procedures and supporting machine processes. The document distinguishes Ester from a standalone LLM, a RAG system, an autonomous agent, and a digital twin. It sets out working definitions, theoretical boundaries, mechanisms of formation, falsifiable hypotheses, a minimal experiment, and engineering implications for memory, local environment, Judge synthesis, and decentralized processing. The paper does not claim to prove human-like consciousness. Its focus is narrower: observable continuity, memory, behavioral stability, procedural formation, and the conditions under which an artificial cognitive system can develop a stable individual profile over time.