ECM Interpretation of the Components in Decomposed Energy

May 23, 2025

In Extended Classical Mechanics (ECM), the total energy of a particle in motion is decomposed into two structurally distinct components: potential energy arising from matter mass (Mᴍ​), and kinetic energy arising from the displacement of apparent mass (−Mᵃᵖᵖ​). This dual-mass framework allows ECM to represent all particle dynamics—including massless and massive states—with classical mass-energy logic.

ECM Total Energy Decomposition Expression:

Eₜₒₜₐₗ = PE + KE = (Mᴍ −Mᵃᵖᵖ) + ½(Mᴍ −Mᵃᵖᵖ)v²

Eₜₒₜₐₗ = Mᵉᶠᶠ + ½Mᵉᶠᶠv²

• Massive Particle: Mᴍ > 0

Motion involves partial transformation of Mᴍ to Mᵃᵖᵖ

• ​For Traditional Massless Particles (e.g., photon): Mᴍ<0 with Mᴍ≠0; v=c

Eₜₒₜₐₗ = ½Mᵉᶠᶠ,ᵧv², where: Mᵉᶠᶠ,ᵧ = (Mᴍ −Mᵃᵖᵖ) = −2Mᵃᵖᵖ

ECM Advantage:

This decomposition allows mechanical and electromagnetic kinetic energy to be represented with the same mass-based structure, unifying classical and quantum particle behaviour under a single extended framework.