Archiv der Kategorie: Wissenschaftstheorie

Gennes: Flow and Turbulence

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„In fact, the assumption is far from trivial. For instance, when turbulence is generated in flow past an obstacle (e.g. one bar in a grid), one major effect of the flow is to create a surface of tangential discontinuity which starts from the obstacle and floats down stream. This surface is intrinsically unstable – most of the turbulence results from its expansion and contortion. It is not sure that the state obtained downstream (even if it is made approximately homogeneous and isotropic by suitable means) will be microscopically similar to what we have for instance in a convection cell, where the fluid is made turbulent by heating from below.“ (p. 11) #Gennes #flow #turbulence

Gennes, Pierre-Gilles de, Phase Transition and Turbulence: An Introduction, in: Tormod Riste (Hg.), Fluctuations, Instabilities, and Phase Transitions. New York City/London: Plenum Press 1975, 1–18.

Prigogine: Unstable Systems

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„Traditionally, quantum mechanics and statistical mechanics have utilized Hilbert space. To obtain our new formulation, which is valid for unstable systems and the thermodynamic limit, we have to move from Hilbert space to more general functional spaces.“ (p. 46) #Prigogine #Hilbert #system #space

Prigogine, Ilya, The End of Certainty. Time, Chaos, and the New Laws of Nature. New York, London: Free Press 1997.

Gennes: Turbulence

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„[T]urbulence occurs in flows which are rapid and not uniform.“ (p. 9) #Gennes #turbulence

Gennes, Pierre-Gilles de, Phase Transition and Turbulence: An Introduction, in: Tormod Riste (Hg.), Fluctuations, Instabilities, and Phase Transitions. New York City/London: Plenum Press 1975, 1–18.

Dewar: Spacetime

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„The key difference from Newtonian spacetime, then, is that there is no ‘persistence of space over time’: since there is no notion of a vector being ‘purely temporal’, we cannot say of two points in G0 that they differ by a purely temporal vector, and hence correspond to the same point of space at two different times. (By contrast, since we do have a notion of purely spatial vectors, we can say of two points of G0 that they differ by such a vector and hence correspond to two different points of space at the same time; this is precisely the relation that foliates G0.).“ (p. 55) #Dewar #spacetime

Dewar, Neil, Structure and Equivalence. Cambridge, UK: Cambridge University Press 2022, ISBN 978-1-108-82376-0.

Neu: Ross/Copeland: Serendipity and Creativity

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„Serendipity and creativity are both broad, widely disputed, and yet consistently popular concepts, relevant to understanding the positive aspects of our daily lives and even human progress in the arts and sciences. The chapters in this book reflects a variety of theoretical and practical approaches to serendipity in various domains, including creative problem solving, sculpture, writing, theatre and design. Chapter authors address issues such as the nature of the ‘prepared mind’, the role of accidents, serendipity as a skill or way of engaging with the world and, indeed, how serendipity works as a concept and in practice in relation to the dynamic flow of the creative system. Those who wish to explore the nature of chance in art and creativity, as well as in their daily lives, will find much to ponder in these pages.“ #Ross #Copeland #Serendipity #Creativity

Ross, Wendy/Copeland, Samantha, The Art of Serendipity: Springer Nature 2022. 327 S., ISBN 978-3-030-84477-6.