Canonical Extended Classical Mechanics Methodological Specification Structural Dark Energy, Sign Invariance, and Directional Transformation

This page provides foundational methodological guidance for the Extended Classical Mechanics (ECM) framework. It establishes canonical structural sign conventions governing Dark Energy, manifestation-layer transformations, and invariant conservation identities, ensuring consistent theoretical interpretation and cross-paper alignment. Negative Apparent Mass is defined as the structural potential energy deficit: Mᵃᵖᵖ ≡ −ΔPEᴇᴄᴍ This definition separates structural and manifestation layers while maintaining the invariant relation: Mᵃᵖᵖ + ΔMᴍ = 0 The document serves as a reference for ECM methodological specification, appendices, and future research alignment.