{"product_id":"carathzsodory-trilogy-antonios-valamontes-9798277583074","title":"Carathéodory Trilogy: Thermodynamics, Geometry, and Variational Structure","description":"\u003cp\u003eThe \u003ci\u003eCarathéodory Trilogy\u003c\/i\u003e unites three groundbreaking mathematical and physical frameworks inspired by Constantin Carathéodory's original insights into thermodynamics, accessibility, and variational structure. This volume develops a coherent, modern reformulation of physical law through the lenses of \u003cb\u003eMultifaceted Coherence (MC)\u003c\/b\u003e, the \u003cb\u003eSuperluminal Graviton Condensate Vacuum (SGCV)\u003c\/b\u003e, the \u003cb\u003eCarnot-Carathéodory geometric tradition\u003c\/b\u003e, and the \u003cb\u003eDodecahedron Linear String Field Hypothesis (DLSFH)\u003c\/b\u003e.\u003c\/p\u003e\u003cp\u003eAcross these studies, classical thermodynamics is reinterpreted as a geometric theory of coherence; sub-Riemannian accessibility is extended into discrete quantum lattices; and variational principles are rebuilt using the infinite-layered tensor calculus of \u003cb\u003eInfinity Algebra\u003c\/b\u003e. A dedicated chapter expands Carathéodory's umbilic problem into a coherence-driven geometric program, linking smooth differential geometry with discrete dodecahedral structures and curvature flows.\u003c\/p\u003e\u003cp\u003eRigorous but accessible to advanced readers, this book offers: \u003cbr\u003e- A modern geometric interpretation of thermodynamics grounded in coherence theory\u003cbr\u003e- A discrete-to-continuum framework for diffusion, curvature, and accessibility\u003cbr\u003e- A full variational architecture for non-smooth, multi-level tensor fields\u003cbr\u003e- New perspectives on classical geometric conjectures through SGCV and MC dynamics\u003cbr\u003e- A unified conceptual bridge across physics, geometry, and information structure\u003c\/p\u003e\u003cp\u003eThe \u003ci\u003eCarathéodory Trilogy\u003c\/i\u003e is designed for mathematicians, physicists, and researchers interested in foundational geometry, quantum coherence, and emerging theoretical frameworks that extend beyond traditional field theory. It presents a cohesive vision in which deep mathematical structure and physical law are inseparably linked through coherence, curvature, and the geometry of accessible transformations.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Antonios Valamontes\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798277583074\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/05\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 112\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.61lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.23d","brand":"Antonios Valamontes","offers":[{"title":"Paperback","offer_id":48175880634623,"sku":"9798277583074","price":29.97,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_c16876f0-5c35-4be6-9f10-e858afc070e7.jpg?v=1771336195","url":"https:\/\/www.whiterainbookhouse.com\/products\/carathzsodory-trilogy-antonios-valamontes-9798277583074","provider":"WR Book House","version":"1.0","type":"link"}