Samples of prime numbers up to two million primes are studied. Linear and non-linear changes are associated. The individual mental creation must be followed by institutional and social processes. Prime numbers appear to be generated by a cumulative harmonic processes such as those that generate bios in mathematical recursions. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar positive and negative feedback that generate biotic patterns. An innovation is the materialization of a novel idea.
These measurements demonstrating causality and creativity in economic, social, and population processes indicate a non-stationary chaotic pattern Bios and suggest an alternative to current models that postulate either causal determinism or random change. Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2005. As number series abstract fundamental properties of action, and the generation of primes epitomizes causal novelty, the results support the notion that causality is creative, not deterministic. The law of quantity and quality posits a general relation between linear and nonlinear processes: changes in linear quantity generate nonlinear changes in quality, which may be gradual and linear or abrupt and nonlinear e. It should attract a wide audience of scholars with interest in mathematics, physics, natural sciences, computer science, economics, social sciences, psychology.
Professor Sabelli's Curriculum Vitae s available at His last lecture, produced by the HeartMath Institute 2011 , is available as an online video Hector's father, Antonio Sabelli, a physician and philosopher, died when Hector was just 14-years-old. Questions comparable to the lifestyles of a giant Bang, the neurobiological foundation concerning the coexistence of unfastened will and determinism, intercultural points of time, mathematical versions of time, psychopathological positive factors of time, and micro reversibility as opposed to macroscopic irreversibility are studied. Quantum computing forces a reexamination of logic. Hegel advanced the notion that quantitative change becomes qualitative change e. When only one time series is available, the opposite processes that produce it can presumably be brought to light by generating and examining the time series of the sine and the cosine of the data.
Novelty is the defining feature of bios that differentiates it from chaos. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar positive and negative feedback that generate biotic patterns. Bios is a pattern characterized by causal novelty measurable as reduction in recurrence by randomization. These studies support the hypothesis that natural processes are creative not determined and causal not random and that bipolar feedback plays a major role in their evolution. Expanding this concept, primes show that linear increases in quantity create novelty, quality and complexity. Order and quantity, ordinals and cardinals, grow together in the linear sequence of numbers. This fails to provide methods to foster healthy creative processes and to hinder the emergence of destructive ones.
Bios can be generated mathematically by bipolar feedback. The extreme sensitivity of Bios to initial conditions' external inputs indicates the possibility of modifying the course of social processes, and the need to develop flexible methods rather than planning economic development. The publication is going past common convention lawsuits in that it presents a large landscape of the astrophysics of gravitational waves and serves as a reference paintings for researchers within the box. In economics, markets are thought to tend to equilibrium with random and unpredictable deviations. Brand new book, sourced directly from publisher. Change is always a multiple of action units quanta. Natural and human processes are creative, i.
Ordinal, cardinal, and formal are not three series of numbers, but three aspects of each number. Seller Inventory B9789812561039 Book Description World Scientific Publishing Co Pte Ltd 2005-03-01, 2005. Thick lines show the results obtained with the original series. The basic principles of quantum physics are homologically repeated in fundamental processes at all levels of organization. Bios can be generated mathematically by bipolar feedback, a newly described process that we conjecture is a generator of creative phenomena at all levels of organization. Recursions of sinusoidal functions generate bios.
Mathematical models show that Bios patterns are generated by equations that combine recurring change recursion , bipolar opposition e. T hese results are consistent with the Bios Hypotheses: 1. Bios has been demonstrated in quantum, cosmological, meteorological, cardiac, population, and economic series. Recurrence plots of the detrended first 10000 primes, 50 embeddings, cutoff radius 1. Shuffling blurs and even erases completely such organization. This coexistence between numerical dependent and independent quality exemplifies a complementarity of opposites such as observed in harmonic processes.
A number of studies connect number theory, and in particular the prime series, with fundamental physical processes, as illustrated by the work of Hugh Montgomery, Andrew Odlyzko, and Alain Connes. Simple processes precede, coexist, constitute and surround the complex systems they generate priority of the simple. As the gravitational wave background dates from the trillionth-of-a-second after the Big Bang, these results indicate that causal and creative processes were important in the early universe, in contrast to the presumed predominance of random oscillations. While the empirical bases of the theory cannot be developed here, the article includes references to relevant scientific publications. His offices were in one of the homes that had belonged to Evita Peron.
Pythagoras was perhaps the first scientist to show the relation between quantity and quality, in his empirical study of the relation between the length of the chords and harmony between their musical sound. Generations, sex, nations, races and classes are fundamental oppositions in social processes that may explain the generation of Bios. He was both intense and playful. Biotic features of novelty, causation, diversification, non-random complexity, and episodic patterning are observed after detrending in the series of prime numbers, the differences between consecutive primes, and the distribution of primes. Table 1 summarizes the similarities and differences between biotic processes and random, chaotic and stochastic processes as measured by time series analyses. He was named assistant professor in the department of pharmacology of Chicago Medical School and remained there until 1964.
Book will be sent in robust, secure packaging to ensure it reaches you securely. Society for Chaos Theory in Psychology and Life Sciences Meeting. Definition and Empirical Characterization of Creative Processes. She taught him to strive for high scientific goals and to support his research with his clinical practice to be independent from academic hierarchies. Bios has been demonstrated in quantum, cosmological, meteorological, cardiac, population, and economic series. Complement plots: analyzing opposites reveals Mandala-like patterns in human heartbeats. In addition to the intrinsic mathematical interest of prime numbers, they also are the exemplar of novelty, in the sense that they are not multiples of any other, and they are generated mathematically, not by random chance.