Professor James Ladyman of Bristol University is leading a three-year AHRC sponsored project on The Foundations of Structuralism. The project aims to integrate work in philosophical logic, mathematics and physics concerning the nature of objects and individuality. The project is investigating various formulations of structuralism, paying special attention to its conceptual and logical foundations. A list of preliminary questions provides a starting point to the research.
. After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the…
. Abstract: The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With…
- Ref: cds.cern.ch/record/2700089
- This monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Providing a thorough overview of mathematical modeling of physical systems, this book is a useful resource for graduate students and researchers.
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D. Dolce. chapter 4 in "Beyond Peaceful Coexistence The Emergence of Space, Time and Quantum", IMPERIAL COLLEGE PRESS (2016), (2017)cite arxiv:1707.00677Comment: Revised version of the published chapter 4 in "Beyond Peaceful Coexistence The Emergence of Space, Time and Quantum", IMPERIAL COLLEGE PRESS (2016).