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This work aims to establish a methodological framework for the Extended Classical Mechanics (ECM) related to dark energy.

February 28, 2026Open Access

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

Key Points

This work aims to establish a methodological framework for the Extended Classical Mechanics (ECM) related to dark energy.
Defined structural sign conventions for dark energy.
Introduced the concept of Negative Apparent Mass as structural potential energy deficit.
Maintained invariant relations for theoretical consistency.
Established consistent sign conventions for theoretical interpretation.
Clarified the relationship between structural and manifestation layers.
Provided a reference framework for future ECM studies.

Abstract

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.

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