Coherent Education II: Nonlinear Knowledge Flow Dynamics and Observer-Dependent Control of Learning Systems — Overview
Extension of coherent education theory in three directions. (1) Nonlinear cognitive flow balance equation with coherence multiplier Γ(B,S)=4B(1−B)S formalising
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Extension of coherent education theory in three directions. (1) Nonlinear cognitive flow balance equation with coherence multiplier Γ(B,S)=4B(1−B)S formalising observer-dependent knowledge assimilation. (2) Cascade coherence model for multi-level educational systems: S_cas=1−∏(1−S_k), demonstrating nine-order-of-magnitude lifetime increase from multi-level organisation. (3) 3/2 power law connecting cognitive flow to coherence by analogy with Child–Langmuir law, establishing threshold conditions for individual-to-collective learning transition. All formulas verified analytically and numerically to 50 significant digits.