From Complexity to Peace A series of articles and lectures to advocate love
This page includes links to a few papers and presentations that explain how modern research on natural complexity, through its detailed study of order and disorder, provides a suitable framework for visualizing the dynamics of mankind's actions, from which a case for peace may be drawn.
While the papers appeared in the journals: E:CO: Emergence: Complexity and Organization and Omega: Indian Journal for Science and Religion, the presentations were given at various venues worldwide.
Paper 1. Lessons from complexity: The hypotenuse the pathway of peace
This work explains how recent universal results pertaining to multiplicative cascades and fully developed turbulence entice all of us, in a logical way, to seek peace in a condition typified by the hypotenuse of a right-angled triangle.
Paper 2. More lessons from complexity: The origin the root of peace
This work explains how recent universal results pertaining to the transition from order to chaos via a cascade of bifurcations point us to a serene state, symbolized by the convergence to the origin in the root of a Feigenbaum's tree, in which we all may achieve peace.
Paper 3. Yet more lessons from complexity: Unity the key of peace
This work explains how recent universal results pertaining to power-laws, self-organized criticality and space-filling transformations provide additional and pertinent reminders that point us to unity as an essential element for us to achieve peace.
Paper 1. On the Nature of Equilibrium
Searching for equilibrium and its implied contentment is one of the most instinctive and fundamental tasks we human beings perform in our lives. This is particularly difficult in this day and age when the "turbulent forces" of modernity induce a fast pace of life that hinders our ability to be fully attentive to one another and to ourselves. During the past few decades a host of ideas have been established in order to study natural complexity, and in particular the one produced by turbulence. This work explains how such modern notions help us visualize the essential options we all face regarding equilibrium and shows how such ideas point us to one and only one serene state in which we all may achieve real peace. It is argued, citing a variety of Biblical passages, that such a desired condition may be approached via the dynamic practice of humility, repentance and love, in a manner that is epitomized by the teachings of Jesus Christ.
Paper 2. Faith Lessons from Chaotic Fig Trees
Searching for order and its implied harmony is one of the most pressing tasks we humans attempt during our lives. This quest is particularly difficult when the "evil" of "chaotic forces" propels us into restless and often helpless states whose intrinsic disorder hampers our ability to find our way to peace. During the past few decades a host of ideas have been established in order to study natural complexity, including the identification of pathways that progressively degrade "order" into the specific disorder of "chaos" and that define a host of chaotic trees, as epitomized by the iconic Feigenbaum tree, or "fig tree" in German. This work explains how such notions help us visualize the essential options we all face regarding order and disorder and shows how the ideas point us to the straight roots of such trees as the only common ground (i.e., "under the fig tree") where we all may achieve true order and peace. It is argued, citing a host of Biblical passages, that the modern concepts provide a rich symbolism consistent with ancient Scripture that, in particular, allows us to further appreciate, in a strikingly coincidental fashion, why Jesus may have, seemingly out of character, cursed and withered a fruitless fig tree as he rebuked the wind (evil in of itself in both instances) and why he may have asked us to learn a lesson from a fig tree and other trees (even from those chaotic ones budding in science twenty centuries later) as a mysterious and urgent precursor to his second coming. The implications of the notions regarding our need to be always watchful, including our prescribed conversion by coming down our own "fig trees," are emphasized.
Paper 3. On the Unitive Art of the Holy Trinity
The belief that God is made of three distinct persons: the Father, the Son and the Holy Spirit, is a fundamental doctrine in Christianity. This article introduces a mathematical construction having three united components that, in a special limiting case, helps us visualize key attributes of the Blessed Trinity: the Father in heaven via a loving and light-conducting bell curve concentrated at infinity, the Son in a uniform and serene histogram that satisfies the adagium "cut the mountains and fill the valleys," and the Holy Spirit in a space-filling transformation built by mid-point additions of unity that joins the Father and the Son and proceeds from both of them. This work explains how the scientific construct and contrary notions regarding power laws in natural and man-made complexity provides a general framework that allows us to appreciate the essential options we all face in our lives regarding order and disorder and shows how the ideas invite us to find order, peace and love, but only in the artful limit. The specific connections of the ideas with a variety of Biblical citations are emphasized.
Two posters presented at the 2008 NFLC conference may be downloaded here: one and two
Two talks related to papers 1 and 2 may be seen here: one and two
A series of lectures delivered in Rome in 2013 is here.
A series of lectures for the Jubilee of Mercy, and beyond, is here.
Carlos is available to share presentations about his work on peace. Contact him at firstname.lastname@example.org.