On The Principle Of Holographic Scaling

Holographic dualities are at the forefront of contemporary physics research, peering into the fundamental nature of our universe and providing best attempt answers to humankind's bold questions about basic physical phenomena. Yet, the concepts, ideas and mathematical rigors associated with these dualities have long been reserved for the specific field researchers and experts. This book shatters this long held paradigm by bringing several aspects of holography research into the class room, starting at the college physics level and moving up from there.

Holographic dualities are at the forefront of contemporary physics research: peering into the fundamental nature of our universe and providing best attempt answers to humankind's bold questions about basic physical phenomena. Yet, the concepts, ideas and mathematical rigors associated with these dualities have long been reserved for the specific field researchers and experts. In this book, we attempt to shatter this long held paradigm by bringing several aspects of holography research into the classroom, starting at the college-physics level and moving up from there. There are numerous examples of holographic dualities in physics, with the AdS/CFT correspondence of string theory being the most famous. Of particular interest to our work, and pedagogical implementation, are the holographic scaling properties of black holes and their gravitational fields. Exploiting these specific properties will allow us to introduce topics traditionally regarded as complicated, such as ADM mass, into the undergraduate classroom.

Holographic dualities are at the forefront of contemporary physics research, peering into the fundamental nature of our universe and providing best attempt answers to humankind's bold questions about basic physical phenomena. Yet, the concepts, ideas and mathematical rigors associated with these dualities have long been reserved for the specific field researchers and experts. This book shatters this long held paradigm by bringing several aspects of holography research into the class room, starting at the college physics level and moving up from there.

A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.

- A unique exposition of the foundations of the quantum theory of black holes including the impact of string theory, the idea of black hole complementarily and the holographic principle bull; Aims to educate the physicist or student of physics who is not an expert on string theory, on the revolution that has grown out of black hole physics and string theory

This volume is composed of extensive and detailed notes from the lectures given at the 40th Karpacz Winter School. This school focussed on quantum gravity phenomenology with emphasis on its relation to observational astrophysics and cosmology. These notes have been carefully edited with the aim to give advanced students and young researchers a balanced and accessible introduction to a rather heavily mathematical subject.

The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores Madelung fluid from a wave mechanics point of view, showing that confinement and asymptotic freedom are the fundamental laws of modern natural philosophy. It then probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. The book provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics. Key Features: Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics Provides the fundamental equations necessary for interpretation of matter, describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom Establishes a natural connection between the Newtonian forces and the Planck’s law from the point of view of space and time scale transition: both are expressions of invariance to scale transition The work will be of great interest to graduate students, doctoral candidates, and academic researchers working in mathematics and physics.

This book presents a method of linking the ordered structure of the cosmos with human thoughts: the theory of language holography. In the view presented here, the cosmos is in harmony with the human body and language, and human thoughts are holographic with the cosmos at the level of language. In a word, the holographic relation is nothing more than the bridge by means of which Guanlian Qian connects the cosmos, human, and language. This is a vitally important contribution to linguistic and philosophical studies that cannot be ignored. The book has two main focus areas: outer language holography and inner language holography. These two areas constitute the core of the dynamic and holistic view put forward in the theory of language holography. The book’s main properties can be summarized into the following points: First and foremost, it is a book created in toto by a Chinese scholar devoted to pragmatics, theoretical linguistics, and philosophy of language. Secondly, the book was accepted by a top Chinese publisher and was republished the second year, which reflected its value and appeal. Thirdly, in terms of writing style, the book is characterized by succinctness and logic. As a result, it reads fluidly and smoothly without redundancies, which is not that common in linguistic or even philosophical works. Lastly, as stated by the author in the introduction, “Creation is the development of previous capacities, but it is also the generation of new ones”; this book can be said to put this concept into practice. Overall, the book offers a unique resource to readers around the world who want to know more about the truly original and innovative studies of language in Chinese academia.