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In Extended Classical Mechanics (ECM), curvature arises as a direct consequence of field–mass coupling rather than geometric deformation. The local ΔMᴍ exchange between field and matter defines an effective curvature intensity, expressed as:
KEᴇᴄᴍ = ΔMᴍc² = hf ↔ ᴷᵉᶠᶠ(ΔMᴍ)
This schematic demonstrates how increasing ΔMᴍ or field intensity transitions the curvature form between magnetic (ᴷᴮ), gravitational (ᴷᴳ), and spacetime (ᴷˢᵗ) domains.
Interactive illustration of how ΔMm ↔ Fᴇᴄᴍ coupling produces apparent curvature ᴷeff in ECM. Use the slider to vary coupling strength and the buttons to view Magnetic, Gravitational or Spacetime modes.