Effective Mass

Effective Mass is the mass a particle carries once its coupling to the recursive substrate is included, raised above its bare value by the local recursive density. The current definition gives it as the bare mass modified by recursive density, with a coupling strength α ≈ 10⁻²⁷ m³/kg: the denser the recursive substrate around a particle, the larger its effective mass. In Chapter 9 the book uses an effective mass m inside the Effective Field Equations, □φ + m²φ + λφ³ + g × R_op[φ] = 0, where the Recursive Coupling Constant g and a recursive operator R_op modify standard field dynamics; there the effective mass is tagged [𝕄·𝕋⁻¹]. The same quantity, written m⊹ and tagged [𝕄], sets the size of stable forms through the Characteristic Form Length Scale. The current definition's statement is m⊹ = m_0 × (1 + α × ρℜ), where m_0 is the rest mass, α the substrate coupling strength and ρℜ the recursive density. It connects to Apparent Mass, the Characteristic Form Length Scale, the Effective Field Equations and the Recursive Coupling Constant.