02 May 2018
 | 02 May 2018
Status: this discussion paper is a preprint. It has been under review for the journal Earth System Dynamics (ESD). The manuscript was not accepted for further review after discussion.

Dynamics of finite causal processes

Kalman Ziha

Abstract. Earth and environmental mechanisms and phenomena are often physically finite dynamical causal processes and need more precise mathematical elaboration. Therefore this article at the beginning resumes the decomposition of general infinite circular causal relations with linear feedbacks to primary causal effects and to interactions among boundless effects and causes. In the sequel it reveals the mathematical model of general finite cause-and-effect interaction with non-linear feedback induced by finiteness of causal processes with exhaustible causal capacities. The study also uncovers that the reverse application of the mathematical model makes it possible to discover and to estimate the unknown ultimate causal capacities from relevant information of supposedly finite causal processes beyond the instant of observation. The article at the end demonstrates that the environmental relations among global climate change and ice mass losses monitored recently on Greenland and Antarctica ice sheets are plausibly finite dynamical climate processes in interaction with cryosphere.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
Kalman Ziha
Kalman Ziha
Kalman Ziha


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Short summary
Finiteness is the fate of the world we know by experience. Many earth and environmental phenomena are finite causal processes of complex interactions and feedbacks. Finite causal processes with exhaustible causal capacities relate the observable past and the imaginable future separated by the present moment. Concept of finiteness has a mathematical formulation that can discover and estimate finiteness of observable environmental processes such as the climate change and melting of ice sheets.