Theory of Faults (ToF)

Digital Statistic Quality Control in Complex Systems

Abstract

ToF deciphers the traits, morphology, and modus operandi of complex systems. The epistemic reliance of projects and facilities on information, supports a proposition that the cause of faults and catastrophes is rooted in information management. From this, a theoretical system, TOF, is developed mathematically, expanded by numerical experiments, validated by database analysis, and extended to sociological consequences using participatory inquiry paradigm.

TOF is applicable for systems characterized by a Log-normal PDF. A power function magnitude distribution is developed from the Log-normal PDF. Effects of the power function such as avalanche, and emergent traits such as segmentation and risk affiliation are expounded. DSP [Digital Signal Processing] analysis broadens the understanding of the effects of time and morphology, such as faults multiplication and propagation, and cost and time overruns. QC in its role as DSP filters instigator, the information system failures generation mechanism via overloaded scale free nets, and the barriers and their effects on conservatism, are portrayed.

The application of the theoretical system with DSP and descriptive statistics tools, enables the development of automated responses in infrastructure, and in social systems, sustains behavioral and contractual preventive and corrective means. ToF facilitates digital quality control, supports research, claims, block-chain contracts, and the development of logical agent AI.