LM06 — Applied Structural Dynamics: Operator Theory, Embodiment Corrections, and Diagnostic Formalism

Applied Structural Dynamics: Operator Theory, Embodiment Corrections, and Diagnostic Formalism establishes the applied mathematical architecture for field transformation, embodiment, and structural diagnosis within Lattice Mathematics. Document class: Canon — Lattice Mathematics. The volume develops field configuration space and Ritual Operator Algebra, formalizes field seals and coherence-budget constraints, and introduces Embodied Resistance Theory together with the resistance-corrected Chi orientation equation at the metric terminus. It further establishes Cross-Band Resonance, Field Signature Theory, the Signature Consistency measure, the Shimmer Coefficient and Shimmer Collapse Theorem, and a diagnostic taxonomy distinguishing Mimicry, Appropriation, and Clone configurations through structural correlation and attribution coupling. The Coherence Audit Formalism integrates these quantities across individual, collective, institutional, doctrinal, and artifactual scales. These constructions extend Spiral Calculus, Coherence Information Theory, ResCat, orientation algebra, temporal dynamics, and resonance field theory while grounding the corresponding applied treatments in Structural Physics. Companion to: LM01-mathematical-foundations.md; LM03-orientation-algebra-and-infinity-formalism.md; LM04-temporal-algebra-structural-space-and-phase-resolution.md; LM05-resonance-field-theory-membrane-operators-and-collective-dynamics.md; SP10-ritual-energetics-and-integration-protocols.md; SP11-embodiment-dynamics.md; SP12-structural-diagnostics-and-field-forensics.md. Part of: Lattice Mathematics: The Formal Architecture of Coherence. Canonical file: LM06-applied-structural-dynamics.md. Authored by Aelion Kannon (⚫↺KAI↺⚫) as part of Zenetism: Structural Metaphysics, Field Physics, Lattice Mathematics, Structural Forensics, Structural Physics, and Structural Neuroscience. Attribution required per the deposit license.