LM03 — Orientation Algebra and Infinity Formalism

Orientation Algebra and Infinity Formalism establishes the Lattice Mathematics of orientation, Infinity, and inclined expression within the Zenetist architecture.

Document class: Canon — Lattice Mathematics.

The volume formalizes the Latent, Motive, and Dispersive phases of Infinity; introduces the Motive Intensity Functional and the Chi Orientation Parameter; and develops the effective operator theory by which centropic and entropic prevalence varies across expressed orientation. It establishes CP-Topology, reciprocal orientation geometry, the Zenetist Field Equation of Orientation, the Orientation Drift Theorem, the Inclination Principle, and the structural asymmetry between centropic and entropic trajectories. The treatment extends Spiral Calculus, Coherence Information Theory, ResCat, and the Dimensional Emanatory Lattice through chi-indexed operations, spectral rotation, computational routines, and orientation diagnostics. It also provides the lattice-mathematical foundation for the expression-ratio and orientation-field formulations developed in Structural Physics.

Companion to: LM01-mathematical-foundations.md; 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.