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.
🔗 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
• Mᴍ (intrinsic matter mass)
• Mᵉᶠᶠ = Mᴍ + (−Mᵃᵖᵖ) (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
