{"product_id":"causality-measurement-theory-and-the-differentiable-structure-of-space-time-hardback-9780521880541","title":"Causality, Measurement Theory and the Differentiable Structure of Space-Time (Hardback) 9780521880541","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCausality, Measurement Theory and the Differentiable Structure of Space-Time\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIntroduces graduate students and researchers to mathematical physics, providing a mathematical discourse on the relation between theoretical and experimental physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eR. N. Sen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521880541, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 11 February 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e412 pages\u003cbr\u003e25.3 x 18.1 x 2.8 cm, 0.89 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… this is a book for a devoted reader with special interests in this area …' MAA Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIntroducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePrologue\u003cbr\u003e Part I: Introduction to Part I\u003cbr\u003e 1. Mathematical structures on sets of points\u003cbr\u003e 2. Definition of causality on a structureless set\u003cbr\u003e 3. The topology of ordered spaces\u003cbr\u003e 4. Completions of ordered spaces\u003cbr\u003e 5. Structures on order-complete spaces\u003cbr\u003e Part II: Introduction to Part II\u003cbr\u003e 6. Real numbers and classical measurements\u003cbr\u003e 7. Special topics in quantum mechanics\u003cbr\u003e 8. Von Neumann's theory of measurement\u003cbr\u003e 9. Macroscopic observables in quantum physics\u003cbr\u003e 10. Sewell's theory of measurement\u003cbr\u003e 11. Summing-up\u003cbr\u003e 12. Large quantum systems\u003cbr\u003e Epilogue\u003cbr\u003e Appendixes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006053830936,"sku":"9780521880541","price":107.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521880541i_18a2e021-2682-4909-9c36-3e4ffdbe3b29.jpg?v=1691358795","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/causality-measurement-theory-and-the-differentiable-structure-of-space-time-hardback-9780521880541","provider":"Freshly Printed Books","version":"1.0","type":"link"}