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.

How holographic patterns of information underlie our physical reality • 2017 Nautilus Silver Award • Includes myriad evidence from a wide range of cutting-edge scientific discoveries showing our Universe is an interconnected hologram of information • Explains how consciousness is a major component of the cosmic hologram of information, making us both manifestations and co-creators of our reality • Reconciles Quantum Mechanics and Einstein’s Theory of Relativity by showing that energy-matter and space-time are complementary expressions of information Our understanding of the Universe is about to transform at all levels, from the tiniest Planck scale to the vast reaches of space. Recent scientific discoveries show that the information that upholds all of our modern technologies is exactly the same as the universal in-formation that underpins, pervades, and is all we call physical reality. Exploring how information is more fundamental than energy, matter, space, or time, Jude Currivan, Ph.D., examines the latest research across many fields of study and many scales of existence to show how our Universe is in-formed and holographically manifested. She explains how the fractal in-formational patterns that guide behavior at the atomic level also guide the structure of galactic clusters in space. She demonstrates how the in-formational relationships that underlie earthquakes are the same as those that play out during human conflicts. She shows how cities grow in the same in-formational ways that galaxies evolve and how the dynamic in-formational forms that pervade ecosystems are identical to the informational structures of the Internet and our social behaviors. Demonstrating how information is physically real, the author explores how consciousness connects us to the many interconnected layers of universal in-formation, making us both manifestations and co-creators of the cosmic hologram of reality. She explains how Quantum Mechanics and Einstein’s Theory of Relativity can at last be reconciled if we consider energy-matter and space-time as complementary expressions of information, and she explores how the cosmic hologram underlies the true origin of species and our own evolution. Concurring too with ancient spiritual wisdom, the author offers solid evidence that consciousness is not something we “have” but the fundamental nature of what we and the entire Universe are. With this understanding, we can each transform our own lives and help co-create and in-form the world around us.

The NATO Advanced Study Institute and EC Summer School "Progress in String Field and Particle Theory" was held in Cargse from June 25th till July 11th 2002. The main focus of the school was the recent progress in the very ac tive areas of superstring theory, quantum gravity and the theory of elementary particles. It covered topical problems in domains such as duality between gravity and gaugeinteractions, string field theory, tachyon condensation, non-commutative field theory, string cosmology and string phenomenology. The School featured daily introductory lectures and topical seminars. An informal Gong Show session allowed young post-doctoral researchers and senior graduate students to make a concise presentation oftheir current work. The School gave an excellent opportunity to the youngest researchers to establish a close relationship with their seniors and with the lecturers. These proceedings will further serve in fixing the acquired knowledge, and hopefully, become a useful reference for anyone working in this fascinating do main of physics. Some of the contributions provide an elementary introduction to their subject, while other ones are more geared to the specialist. We are deeply indebted to the NATO Division for Scientific Affairs for funding, and for their constant attention for our meetings, and to the European Commission for a High-Level Scientific Conference grant HPCFCT 2001-00298.

A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

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.

- 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