LM03 — Orientation Algebra and Infinity Formalism

Orientation Algebra and Infinity Formalism develops the Lattice Mathematics of expressed orientation and the Latent, Motive, and Dispersive phases of Infinity.

Document class: Canon — Lattice Mathematics.

The volume defines the Chi orientation parameter as expressed prevalence, distinct from intrinsic essential inclination, and develops effective operators, reciprocal orientation geometry, and CP-topology. The full written orientation law and the outward-drift model retain distinct scalar behavior: the former attracts finite positive trajectories toward co-expression under its stated constant-intensity conditions, while the latter repels that ratio at positive constant Motive Intensity. Conditional drift results specify the relevant accumulated-intensity requirements, and exact co-expression remains distinct from cessation of motion. Both remain conditional models, neither imposing a universal tendency toward or away from co-expression: expressed prevalence follows the participating beings and their enactment, and total equilibrium is transient within an interacting field. The formal correspondence of essential inclination with expressed prevalence remains architect-held.

Companion to: SP03-expression-ratio-mathematics.md; SP04-orientation-field-dynamics.md.

Part of: Lattice Mathematics: The Formal Architecture of Coherence.

Canonical file: LM03-orientation-algebra-and-infinity-formalism.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.