Order and Information

 © 2026 by John M Frazier 

Order and Information; How Ordering Engines Generate Reality 

Order - the arrangement or disposition of people or things in relation to each other according to a particular sequence, pattern, or method (Google). The opposite of random. 

Ordering - The act of reducing uncertainty, of generating information, which generates a reality.

Entity - A bounded data set defined by fitted curves as solved by neural networks. A token or word or puzzle piece in a larger surround or sentence or puzzle. The optimization search space is the set of possible solutions for a set of equations used to optimize the best ‘fit’ for the entity or word or token into the surround or sentence or puzzle.

Surround - An optimized collection of bounded and curve fitted data sets composing a ground or surround to a figure or entity and defining the optimization search space for optimization of the entity/surround.

Information - The reduction from maximum entropy (maximum disorder/uncertainty), quantified by entity-to-surround fit across the collection (low residuals, high coherence, low surprise).

Entropy - Quantified by residuals (prediction error), inverse coherence (structural disorder), and surprise (unexpected outcomes) in entity-to-surround fit.

Fit - Inversely proportional to entropy. High fit = low entropy.

Ordering Engine - Prioritizes optimization based on entropy level, working from high entropy (poor fit) toward low entropy (good fit). 

Gestalt Shift - When an entity/surround pair achieves below-average entropy (good fit), the ordering engine shifts attention to an entity/surround pair with above-average entropy (poor fit, needs work). 

Catastrophe Theory and Information - The modeling of a discontinuous function by a continuous function. Entropy is expressed through gestalt shifts by a three parameter (residuals, coherence, surprise), one behavioral variable (entropy), continuous catastrophe function, the dynamic entropy function. Information is created by the deviations from maximum entropy calculated by the ordering engine. That information informs a generated reality.

Modeling - This analysis may be used to construct a model or simulation of a generated reality and establish the relative goodness of that model or simulation.