Quantitative Verification and Bioenergetic Aspects of Kantor Systems

Abstract

This paper presents a mathematical framework for Kantor systems — open, nonlinear and fractal systems in which the process of kantorization (iterative discarding of the superfluous) increases organizational order and informational quality. The core relation of the model is given by Lk≈(23)k,L_k \approx \left(\frac{2}{3}\right)^k,L_k \approx \left(\frac{2}{3}\right)^k, where LkL_kL_k denotes the fraction of the manifest sector.Quantitative verification is performed on two systems: the genetic system (exons, L≈0.015L \approx 0.015L \approx 0.015 → k≈10.36k \approx 10.36k \approx 10.36 ), the neurobiological system (synaptic pruning, L≈0.50L \approx 0.50L \approx 0.50 → k≈1.71k \approx 1.71k \approx 1.71 ). A bioenergetic model is also introduced, showing that moderate values of (k) maximize the metabolic efficiency of information processing in the brain. The work is offered as a research hypothesis and a starting point for further investigation, not as a confirmation of a universal theory.