|InterJournal Complex Systems, 1787
|Manuscript Number: |
Submission Date: 2006
|Biotic patterns in the Schrödinger’s equation and the early universe|
We regard the generation of complexity as a creative development. Just as the development of an individual organism is creative but originates in a set of determined structures (the genes), the evolution of the universe may be a creative development from a “cosmic gene”, rather than the product of chance and selection. The generation of a series of increasingly complex patterns (steady state, periods, chaos and bios) by bipolar feedback A(t+1) = A(t) + k * t * sin(A(t)) (Kauffman and Sabelli, Cybernetics and Systems 1998.) provides a model for creative development. Bios is a nonstationary expansive pattern generated by feedback and characterized by features of creativity (Sabelli, Bios, A Study of Creation, World Scientific, 2005). Bios differs from stochastic processes by demonstrable features of non-random causation. Bios differs from chaos in its creative properties: time-limited forms (complexes), increasing variance (diversification), less recurrence than random (novelty) and non random complexity. Sabelli and Kovacevic (Complexity, 2006) demonstrated that biotic processes appear in the Schrödinger equation (using a discrete approximation) and in the distribution of galaxies (recorded in two recent surveys) in the direction going back in time. We re-consider the Schrödinger equation using continuum solutions and show that the biotic behavior is not an artifact of the numerical discrete methods. We demonstrate that the equation generates bios at three different distance scales: atomic, nuclear and Planck (time and distance scale obtaining shortly after the big bang). This raises the possibility that biotic processes may account for expansive and creative phenomena in cosmological processes shortly after the beginning of the universe.
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