23 December 2025

Extended Classical Mechanics (ECM) → Classical Mechanics Substitutions Dictionary

October 01, 2025

I’ve published a new reference page presenting a systematic, equation-by-equation substitution dictionary that maps Classical Mechanics / Newtonian Gravity expressions into their fully ECM-consistent forms.

Web page:

What this page provides

• A clear, side-by-side mapping of Newtonian gravitational expressions to their Extended Classical Mechanics (ECM) counterparts
      • A strict distinction between:
• Intrinsic matter mass Mᴍ
​• Effective mass Mᵉᶠᶠ = Mᴍ + (−Mᵃᵖᵖ)

•  Explicit reformulation of:

• Gravitational force
• Acceleration
• Potential energy
• Escape velocity
• Gravitational redshift
• Schwarzschild-type factors
• Kinetic energy
• Photon energy–momentum exchange

Key insight

In ECM, mass is dynamic and context-dependent.
Bare masses used in classical gravity are replaced—only where physically required—by effective mass, while preserving classical structure and interpretability.

This page is intended as:

        • a translation reference, not a replacement of classical mechanics
    • a bridge document for readers comparing Newtonian gravity, relativistic corrections, and ECM
     • a notation-consistent guide for researchers working across classical, relativistic, and ECM frameworks

Audience

• Researchers and students in gravitational physics
• Readers examining alternatives or extensions to standard formulations
• Anyone interested in mass–energy interpretation without spacetime curvature postulates

Feedback and technical discussion are welcome.

— Soumendra Nath Thakur
Extended Classical Mechanics (ECM)
postmasterenator@gmail.com

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