23 December 2025

๐Ÿ“Œ Classical → ECM Dynamics Reference: Extended Classical Mechanics Substitutions


I’m pleased to share a new reference page providing a definitive Classical → ECM Substitutions Dictionary — a complete, equation-level mapping from Classical Mechanics / Newtonian Gravity expressions to Extended Classical Mechanics (ECM) forms.

๐Ÿ”— Explore the page:

What this reference offers

• A systematic side-by-side comparison of Newtonian gravitational expressions and their ECM-consistent counterparts
• Clarification of how classical scalar quantities such as mass, force, acceleration, and potential energy are expressed in ECM notation
• Explicit definitions using ECM symbols such as
  • Mแด (intrinsic matter mass)
  • Mแต‰แถ แถ  = Mแด + (−Mแตƒแต–แต–) (effective mass)
• Reformulations of key classical terms including:
  – gravitational force and acceleration
  – escape velocity
  – potential energy
  – redshift expressions
  – momentum exchange in fields

Why this matters

This Substitutions Dictionary functions as a notation bridge between classical formulations and ECM, supporting readers and researchers who want consistent, unambiguous conversions — without reinterpretation of the underlying physics.

Who may benefit

✔ Researchers and students comparing classical and extended mechanics
✔ Physicists exploring alternative formulations of gravitational dynamics
✔ Authors preparing ECM-aligned manuscripts or teaching materials

Feedback and scholarly discussion are welcome.

— Soumendra Nath Thakur

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