{"product_id":"9789819953387","title":"Mathematical Physics Studies: From E8 to Cold Plasma to an lnhomogeneous Universe","description":"\u003ch1\u003eMathematical Physics Studies: From E8 to Cold Plasma to an lnhomogeneous Universe\u003c\/h1\u003e \u003ch2\u003eWilliams, Floyd L.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of theoretical physics. It is a follow-up and extension in some sense of the author’s earlier book entitled A window into zeta and modular physics. Some of the main topics are\u003c\/p\u003e\u003cp\u003e1. A new approach to logarithmic corrections to black hole entropy\u003c\/p\u003e\u003cp\u003e2. My recent work that provides for an explicit cold plasma-black hole connection\u003c\/p\u003e\u003cp\u003e3. Generalization of work of physicists on certain asymptotic problems relating to string theory, for example, by way of the general theory of modular forms of non-positive weight\u003c\/p\u003e\u003cp\u003e4. A construction of the E8 root lattice, its theta function, and its relevance for heterotic string theory\u003c\/p\u003e\u003cp\u003e5. Applications of elliptic functions to KdV, nonlinear Schrödinger, and Duffing equations, for example, including a discussion of Lax pairs and the Miura transformation\u003c\/p\u003e\u003cp\u003e6. Finite temperature zeta functionsand partition functions for quantum fields in thermal equilibrium on various curved background spacetimes\u003c\/p\u003e\u003cp\u003e7. Exact solutions of the Einstein gravitational field equations for Lemaitre and inhomogeneous cosmological models, with a special focus on the Szekeres–Szafron exact solutions by way of the Weierstrass elliptic function\u003c\/p\u003e\u003cp\u003e8. Elementary particles and my zeta function formula for higher spin fermionic particles; this covers, in particular, the gravitino particle (of spin 3\/2) and bosons with integral spin \u003ci\u003es\u003c\/i\u003e = 2, 3, 4, 5.\u003c\/p\u003e\u003cp\u003eThese are some sample topics. Others include the continuous Heisenberg model, reaction diffusion systems, Dirichlet and Hecke \u003ci\u003eL\u003c\/i\u003e-functions, the modular\u003ci\u003e j\u003c\/i\u003e-invariant, the computation of the one-loop effective potential for non-compact symmetric spaces, the BTZ black hole, Jacobi inversion formulas, etc.\u003c\/p\u003e\u003cp\u003eThus, there is a very large range of material with the first 9 chapters of preliminary, expositional background for mathematicians and physicists.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-11-03\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789819953387\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-981-99-5336-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 233\u003c\/p\u003e ","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":45378387280012,"sku":"9789819953387","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819953387.jpg?v=1775678789","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789819953387","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}