Lagrangian Deconstruction

This paper presents a unified physical theory derived from the topological decomposition of a five-dimensional action integral on a non-orientable manifold M K4 × R τ .We deconstruct the Lagrangian density into three distinct sectors: Curvature, Quantum, and Interaction.The Curvature Sector establishes the macroscopic geometry, identifying the vacuum expectation value of topological torsion as the source of dark energy, consistent with a derived coupling constant κ ≈ 1.1 × 10 -52 m 2 .The Quantum Sector introduces a deterministic Phase-Loop Criterion that replaces probabilistic wavefunction collapse with a geometric condition for selfconsistency across closed time-like loops.Finally, the Interaction Sector derives the Shear Flow Mechanism, demonstrating that baryonic mass and spin emerge as the kinematic vorticity of the Coherence Field forced against the manifold's self-intersection.This model resolves the measurement problem by internalizing the observer as a geometric necessity and offers a calculable, high-frequency origin for fundamental constants.