
Current frameworks for understanding neurodevelopmental differences oscillate between the medical model('disorder to be treated') and the social model ('difference to be accommodated'). Both implicitly assume aqualitative distinction between 'typical' and 'atypical' brains. This paper proposes a unified mathematical frameworkthat reconceptualizes neurodiversity as variation in dynamical parameters rather than categorical difference.Drawing on the Landau-Stuart equation - which describes phase transitions across physical, biological, and socialsystems - we propose that neurological differences reflect variation in four key parameters: amplification(excitatory coupling), damping (inhibitory regulation), saturation (nonlinear self-limitation), and noise (stochasticvariability). What appear as discrete 'conditions' (ADHD, ASD, giftedness) may be regions in a continuousparameter space.This framework has significant implications: (1) 'Disorder' becomes environmentally relative - the same parametersproduce flourishing or dysfunction depending on context; (2) Twice-exceptional (2E) individuals represent specificparameter combinations rather than paradoxical co-occurrences; (3) Intervention design shifts from 'normalizingparameters' to 'matching environments to parameters.'
phase transition, Landau-Stuart equation, ADHD, autism, neurodiversity, dynamical systems, parameter space, giftedness, twice-exceptional
phase transition, Landau-Stuart equation, ADHD, autism, neurodiversity, dynamical systems, parameter space, giftedness, twice-exceptional
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