Projection Mechanism and the Status of Quantum Objects in the Ontology of EFOS

This article offers a systematic interpretation of quantum objects within the ontology of EFOS (Entity That Forming Objects and Subjects). Key concept explained: EFO (Entity Forming Objects) is the hypothetical source of all objects that are not subjects: stars, planets, stones, elementary particles. EFO is not itself an object—it generates them, projects them into reality. Think of it as a projector that creates an image, but the projector itself is not visible on the screen. It is shown that quantum objects — superpositions, entangled states — can be understood as projections of EFOS at the quantum level of description (G = quantum). Superposition is interpreted as a "pre-projection sector" onto the classical register: a state in which an entity has not yet been projected into classical ontology. Wave function collapse is interpreted as a change in the level of description G (quantum → classical), rather than as a physical process. The projection operator P(G) is shown to form a semigroup, not a group — projection is irreversible, and part of the information about the source remains in the kernel of the operator and cannot be recovered from the screen. Decoherence is interpreted as the irreversible loss of information in this kernel. The Armstrong Principle is formulated: the inverse problem of recovering EFO from the projection is fundamentally incorrect. Quantum superpositions are classified as non-objects at G_quantum, but become objects at G_classical, demonstrating the relational nature of ontological categories. A comparison is made with alternative interpretations: Copenhagen, Everett, decoherence, Tarasov, relational quantum mechanics (Rovelli), and QBism. A testing program is proposed through measurable markers (I_PA, K_G, I_ARD, η_info) with numerical thresholds. The article concludes with open questions and an invitation to collaboration.