IQMI τ Framework - α-Constrained Virtual Agency

AbstractThis paper defines α-constrained virtual agency as a constraint-governed, lineage-preserving architecture in which system behavior is generated through internally validated structure rather than externally imposed objectives or heuristic rules.Building on prior work establishing drift decomposition 𝛥, stability measure τ, and deterministic projection of tensor-state 𝑆(𝑡) into observable representation 𝛺(𝑡), this work introduces α as a constraint-consistent substrate constructed from observed system states 𝛺∗. Candidate structures are extracted from 𝛺∗, evaluated under admissibility conditions—constraint consistency, lineage preservation, reproducibility, non-redundancy, and bounded drift—and accumulated monotonically without modification of accepted elements. The resulting architecture operates as a closed loop: 𝛼(𝑡)→𝑆(𝑡)→𝛱→𝛺(𝑡)→𝐸→𝛼(𝑡+1) in which: • 𝛼(𝑡) governs state evolution,• 𝛱 produces deterministic observable representation,• 𝛺(𝑡) exposes structural integrity and deviation,• and 𝐸 admits only validated extensions. Worked examples demonstrate inclusion, rejection, redundancy filtering, and explicit boundary encoding. Observations establish monotonic accumulation, constraint closure, deterministic reconstruction, and separation of governing structure from linguistic descriptor. Limitations are defined with respect to dependence on 𝛺∗, constraint specification, computational complexity, and the absence of external truth guarantees. Under this construction, agency emerges from constraint-consistent evolution, with system behavior determined by preservation of structural relationships, bounded drift 𝛥, and stability 𝜏, rather than optimization toward external goals.This establishes α as the generative complement to 𝛺(𝑡):𝛺(𝑡) renders system state observable; 𝛼 enables constraint-consistent generation and extension of that state.