MINI DICTIONARY -> DRIFT CORRECTION SET

DRIFT CORRECTION SET 1. Primitive Terms (Π‑Ontology Core) Primitive tensor Π The sole primitive object. Π is not spatial, not geometric, not material. Π is the configuration from which all emergent structure is computed. Constitutive_map Ψ(Iₖ) — algebraic mapping from invariants to operator weights. Invariant_set Iₖ — scalar functions of Π used by Ψ. No geometric interpretation. 2. Kinematic State Terms State_vector The active Π‑state components (e.g., P_xx, P_xy, P_yx, P_yy, S, Λ). No spatial meaning; purely algebraic DOFs. Reduced_state Π‑state missing P_yx. Causes shear–spin degeneracy. Expanded_state Π‑state including P_yx. Required for shear–spin separation. 3. Constitutive Tensor Terms Constitutive_tensor T = ∂Ψ/∂L — algebraic derivative of Ψ with respect to Π‑state. No physical interpretation. Nonreciprocal_tensor T_xy ≠ T_yx due to reduced invariant structure. 4. Projection Operators P_iso Isotropic sector projector. P_axial Axial deviatoric sector projector. P_shear Symmetric transverse projector. P_spin Antisymmetric transverse projector. 5. Operator Routing Terms Routing_map Maps projected sectors into operator channels (M_C, M_T, M_R). Operator_basis The fixed operator set used by the solver. 6. Degeneracy Terms Shear_spin_degeneracy Condition where P_shear = P_spin due to missing P_yx. Topological_collapse Loss of sector distinction caused by reduced Π‑state dimensionality. 7. Prototype Terms State_expansion_prototype Prototype branch adding P_yx and redesigned invariant I₂. Invariant_redesign Construction of symmetric transverse invariant over (P_xy, P_yx). Prototype_gate Logical conditions required before implementing any operator changes. 8. Forbidden Drift Terms (Gemini must NOT use) space / spatial / geometry / distance / rotation / medium / substrate / field / fluid / force / mass / momentum / energy / curvature / vorticity / material / physical system Gemini must replace all of these with Π‑ontology equivalents: Forbidden Allowed rotation antisymmetric component of Π shear symmetric transverse component of Π geometry emergent metric g(Π) space Π‑manifold index force gradient‑mechanical operator mass baryonic stress S curvature metric reconstruction g(Π) medium primitive tensor Π

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