Real v/s Unreal through Samkhya : The Normal Distribution as "Vikara (defect) " and the Ontology of Mathematical Law

Research

The ubiquitous Normal Distribution, or Bell Curve, governing phenomena from human heights to particle velocities, may not represent true reality but rather a fundamental defect. This radical ontological hypothesis redefines the physical world's adherence to the bell curve as Vikara, a Sanskrit term denoting imperfect modification, defect, or deviation from a primordial, perfect state.

In this inverted ontology, the observable spread and scatter of the Bell Curve—the statistical Variance ($\sigma^2$)—is identified as "noise" or "distortion" introduced by the medium of manifestation (Prakriti or Maya). Conversely, the only true reality (Sat or Atman) is t...