UFT-ID 2.0: Lattice-Gated Information Dynamics and Lexicographic State SelectionTrent SladeQSOL-IMC (Quantum-Sourced Optimization Logic – Integrated Meme Company)ORCID: 0009-0002-4515-9237AbstractThis paper formalizes the Unified Field Theory of Information Dynamics (UFT-ID 2.0) as a geometrically typed, invariant-seeking dynamical system. Information dynamics are treated not as fundamental processes, but as constrained excitations on a discrete geometric substrate, such as an E₈ root lattice or spin-network geometry. We introduce the Law of Lattice-Gated Evolution , which asserts that unitary evolution is permissible if and only if the informational state remains within a geometrically admissible subset of the lattice. Violations of this constraint trigger a non-unitary regime switch governed by a Lexicographic Selection Map , which deterministically resolves invalid states by minimizing invariant (Casimir) violation subject to geometric legality. A dimensionless Shear Coefficient κ is defined to quantify the informational entropy produced during this correction. Within this framework, state collapse, hallucination, and associative tunneling are modeled not as probabilistic events, but as deterministic resolutions of geometric syntax errors. This approach is distinct from both standard quantum mechanics (probabilistic projection) and reinforcement learning (teleological optimization).Executive SummaryUFT-ID 2.0 addresses a structural instability shared by both quantum foundations and high-dimensional cognitive systems. Conventional approaches treat state reduction, error, or hallucination as emergent or probabilistic phenomena. In contrast, UFT-ID 2.0 redefines these events as type errors arising within a constrained dynamical system. Information and geometry are treated as coupled but distinct domains. Information evolves according to ideal unitary dynamics governed by SU(3) symmetry, while the geometric substrate is discrete, sparse, and unable to support all possible informational configurations. When an informational state proposes a configuration that the lattice cannot support, the system encounters a Geometric Syntax Error . Resolution proceeds via a deterministic correction pipeline that prioritizes structural invariants over spatial continuity. This unified mechanism accounts for both isomeric tunneling (non-local relocation to invariant-compatible lattice sites) andshear-induced entropy production , which manifests as hallucination or decoherence depending on domain.1. Introduction: The Structure–Dynamics MismatchModern models of information dynamics rely heavily on continuous state spaces to describe phenomena that exhibit discrete structural constraints. In quantum mechanics, unitary wavefunction evolution and non-unitary collapse are treated as fundamentally disjoint processes. In artificial intelligence, hallucination is modeled statistically rather than structurally. UFT-ID 2.0 resolves this mismatch by replacing continuous Hilbert space ontology with a Typed Lattice . Collapse is neither random nor observer-dependent; it is a deterministic constraint-satisfaction event triggered when a proposed informational state cannot be embedded in admissible geometry.2. Ontological CommitmentsUFT-ID 2.0 rests on four explicit commitments:Geometric Primacy.The discrete lattice Λ is the fundamental ontological substrate. Geometry exists prior to information.Constrained Excitation.An information state ρ exists if and only if it is supported on an admissible region of the lattice.Invariant Realism.The identity of an information state is defined by its SU(3) Casimir invariants, not by coordinate representation.Rejection of the Continuum.Continuous evolution is treated as an approximation valid only within admissible lattice regions.3. System DefinitionThe system is defined as: