Extended Classical Mechanics (ECM) redefines mass into distinct, interconnected concepts to explain its mass-re-configurative model of energy. This section breaks down each definition. Understanding these is key to grasping the entire framework.
Matter Mass (Mᴍ)
The total, original mass of a system before any energetic transformations. It's the complete material content from which all other mass components are derived or redistributed.
Displaced Mass (ΔMᴍ)
The portion of matter mass that is physically displaced to manifest as kinetic energy. It is the mass-equivalent of motion itself.
Effective Mass (Mᵉᶠᶠ)
The residual mass that remains after displacement. It's responsible for gravitational potential energy. Calculated as Mᴍ − ΔMᴍ.
Apparent Mass (Mᵃᵖᵖ)
A conceptual mass defined as the negative of displaced mass (ΔMᴍ). It's primarily used to describe the dynamics of light-speed particles like photons.
The Foundational Equations
The relationships between the different mass concepts are formalized in a set of core equations. These equations provide the mathematical backbone for ECM, ensuring dimensional consistency while describing total energy as a function of mass redistribution.
Total Energy as Mass Redistribution
The conceptual heart of ECM, showing that total mass is conserved by partitioning it into potential (effective) and kinetic (displaced) components.
Eₜₒₜₐₗ ⇒ (Mᴍ − ΔMᴍ) + ΔMᴍ
Full Energy Equation
The practical formula for calculating total energy, using effective mass for both potential and kinetic terms.
Eₜₒₜₐₗ = Mᵉᶠᶠgᵉᶠᶠh + ½Mᵉᶠᶠv²
Photon Energy (Light-Speed Dynamics)
ECM derives the energy of a photon non-relativistically, defining it as being equivalent to its displaced mass.
hf = ΔMᴍc²
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