We all have a worldview, some way that we look at life and what we observe. There are certain assumptions we tend to operate from, often implicitly. Arguably, our worldview is shaped by our experiences: family, friendships, education, jobs, community organisations, and our cultural context (political, economic, and social).
A significant part of my life experience has been working in universities as a condensed matter physicist and being part of a broader scientific community. Writing a Condensed Matter Physics: A Very Short Introduction crystallised some of my thoughts about what CMP might mean in broader contexts. I am more aware of how my experience in CMP has had a significant influence on the way I view not just the scientific enterprise, but also broader philosophical and social issues. Here are a few concrete examples.
Complex systems. The objects studied in condensed matter physics have many interacting components (atoms). Further, there is an incredible diversity of systems (materials and phenomena) that are studied. Many different properties and parameters are needed to characterise a system and its possible states. There are many different ways of investigating each system. Similarly, almost everything else of interest in science and life is a complex system.
Emergence. This is central to CMP. The whole is greater than the sum of the parts. The whole is qualitatively different from the parts. Related features include robustness, universality, surprises, and the difficulty of making predictions. An emergent perspective can provide insights into other complex systems: from biology to psychology to politics.
Differentiation and integration. A key aspect of describing and understanding a complex system is conceptually breaking it into smaller parts (differentiation), determining how those parts interact with one another, and determining how those interacting parts combine to produce properties of the whole system (integration).
Diversity: The value of multiple perspectives and methods. Due to the complexity of condensed matter systems, multiple methods are needed to characterise their different properties. Due to emergence, there are various scales and hierarchies present. Investigating and describing the system at these different scales provides different perspectives on the system. What does the scientist do with all these different perspectives? Interpretation and synthesis are needed. That is not an easy or clearcut enterprise.
Navigating the middle ground. The most interesting CMP occurs in an intermediate interaction regime that is challenging theoretically. Insight can be gained by considering two extremes that are more amenable to analysis: weak interaction and strong interaction. I had fun using conservative-liberal political tensions as a metaphor for divisions in the strongly correlated electron community.
The Art of Interpretation. Everything requires interpretation: a phone text message, a newspaper article, a novel, a political event, data from a science experiment, and any scientific theory. With interpretation, we assign meaning and significance to something. How we do this is complex and draws on our worldview, both explicitly and implicitly. Regardless of our best intentions, interpretation always has subjective elements.
Synthesis. Given the diversity of data, perspectives, and interpretation, it is a challenge to synthesise them into some coherent and meaningful whole. All the pieces are rarely consistent with one another. Some will be ignored, some discarded, some considered peripheral, and others central. This synthesis is also an act of interpretation.
All models are wrong but some are useful. One way to understand complex systems is in terms of "simple" models that aim to capture the essential features of certain phenomena. In CMP significant progress (and many Nobel Prizes) has resulted from the proposal and study of such models. There is a zoo of them. Many are named after their main inventor or proponent: Ising, Anderson, Hubbard, Heisenberg, Landau, BCS,... All theories in CMP are also models since they involve some level of approximation, at least in their implementation. These models are all wrong, in the sense that they fail to describe all features and phenomena of the system. But, the best models are useful. Their simplicity makes them amenable to understanding, mathematical analysis, or computer simulation. Furthermore, the models can give insight into the essential physics underlying phenomena, predict trends, or be used to analyse experimental data.
The autonomy of academic disciplines. Reality is stratified. At each level of the hierarchy, one has unique phenomena, methods, concepts, and theories. Most of these are independent of the details of what happens at lower levels of the hierarchy. Given the richness at each level, I do not preference one discipline as more fundamental or important than the others.
Pragmatic limits to knowledge. We know so much. We know so little. On the one hand, it is amazing to me how successful CMP has been. We have achieved an excellent understanding, at least qualitatively of many emergent phenomena in systems that are chemically and structurally complex (e.g., liquid crystals and superconductivity in crystals involving many chemical elements). On the other hand, there are systems such as glasses and cuprate superconductors that have been incredibly resistant to understanding. Good research is very hard, even for the brilliant. Gains are often incremental and small. This experience leads me to have sober expectations about what is possible, particularly as one moves from CMP to more complex systems such as human societies, national economies, and brains.
Science is a human endeavour. Humans can be clever, creative, insightful, rational, objective, cooperative, fiercely independent and capable of great things. The achievements of science are a great testimony to the human spirit. Humans can also be stubborn, egotistical, greedy, petty, irrational, ruthlessly competitive, and prone to fads, mistakes and social pressures. Science always happens in a context: social, political, cultural, and economic. Context does not determine scientific outcomes but due to human nature, it can corrupt how science is done.
The humanity of scientists leads to a lack of objectivity captured in Walter Kauzmann's maxim: people will tend to believe what they want to believe rather than what the evidence before them suggests that they should believe. My decades of experience working as a scientist leads me to scepticism about extravagant claims that some scientists make, particularly hype about the potential significance (scientific, technological, or philosophical) of their latest discovery or their field of research. Too often such claims do not stand the test of time.
Humility. This brings together practically everything above. The world is complex, people are complex, and human-world interactions are complex. It is easy to be wrong. We often have a pretty limited perspective of what is going on.
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