Nigel Goldenfeld, a physicist renowned for his insights on the universe's complexities, joins co-host Steven Strogatz. They dive into why science succeeds in unraveling nature's enigmas, despite its apparent complexity. The pair discuss the importance of asking the right questions and the surprising phenomenon of emergence, where new properties arise in different scales. They also explore the intersection of mathematics and various scientific fields, from physics to biology, and reflect on how simple theoretical frameworks often yield profound insights.
The simplicity of physical laws enables significant advancements in understanding the natural world, though many complexities remain unexplained.
Emergence allows scientists to explore phenomena at different scales, highlighting the challenges of applying straightforward models to complex fields like biology and economics.
Deep dives
Nature's Comprehensibility
The podcast delves into the philosophical inquiry raised by Albert Einstein regarding the comprehensibility of the natural world. Physicist Nigel Goldenfeld discusses how the simplicity of physical laws allows humans to discover and apply these laws, which leads to significant advancements across various scientific fields, including biology and economics. This prompts a contemplation of whether the world is truly understandable and what this means for explaining complex phenomena. Goldenfeld emphasizes that while there are notable successes in physics, many unexplained areas linger, casting doubt on the assumption that everything can be understood scientifically.
The Unreasonable Effectiveness of Mathematics
The discussion highlights the seemingly miraculous effectiveness of mathematics in explaining physical phenomena, referencing James Clerk Maxwell's equations of electromagnetism as a pivotal example. These equations succinctly encapsulate the principles governing electricity and magnetism and have far-reaching implications, including the technology behind wireless communication. Goldenfeld and the host explore how great discoveries often arise from simple insights transformed into sophisticated mathematical frameworks, yet they also acknowledge the limitations encountered when applying these mathematical concepts to more complex fields such as biology. This raises questions about the inherent effectiveness of mathematics and what might happen when faced with scientifically challenging problems.
Emergence and Scientific Inquiry
The podcast introduces the idea of emergence, which facilitates scientific inquiry by allowing researchers to study phenomena at various scales without needing to fully understand the minutiae of lower levels. An example given is a phase transition in physics, where the behavior of materials near critical temperatures yields predictable outcomes that transcend the specifics of the individual atoms involved. This separation of scales enables scientists to derive accurate models and theories, suggesting that not all areas of science are amenable to straightforward analysis. Goldenfeld stresses the significance of asking the right questions within science to uncover comprehensible phenomena, while acknowledging that certain complex interactions may resist such simplification.
Challenges in Biology and Economics
The conversation turns to the challenges in translating the principles of physics into fields like biology and economics, where the complexity and interdependence of variables often obscure understanding. Goldenfeld points out that while physics may yield clear predictive models, fields such as economics involve emergent phenomena that complicate straightforward predictions. He illustrates this with the 2010 flash crash in the stock market, where individual actions collectively led to significant systemic changes. The inability to predict outcomes effectively in such complex systems underscores the notion that interdependencies can hinder scientific exploration and challenge conventional approaches to understanding.
The universe seems like it should be unfathomably complex. How then is science able to crack fundamental questions about nature and life? Scientists and philosophers alike have often commented on the “unreasonable” success of mathematics at describing the universe. That success has helped science probe some profound mysteries — but as the physicist Nigel Goldenfeld points out, it also helps that the “hard” physical sciences, where this progress is most evident, are in major ways simpler than the “soft” biological sciences.
In this episode, Goldenfeld speaks with co-host Steven Strogatz about the scientific importance of asking the right questions at the right time. They also discuss the mysterious effects of “emergence,” the phenomenon that allows new properties to arise in systems at different scales, imposing unexpected order on cosmic complexity.
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