New Relativity in the Gravitational Universe


Book Description

Our vast Universe is filled with an enormous amount of matter and energy, which are the source of large gravitational potentials affecting all physical phenomena. Because this fact about the size and contents of the Universe was not known when our fundamental theories of dynamics and relativity were completed by the 1920s, the current theories - based as they are in empty space - fail to incorporate cosmic gravity. Though the current theories are consistent with the majority of empirical facts, there are some crucial discrepancies, which demand a drastic shift to a cosmic gravitational paradigm for the theories of relativity and dynamics. The book is a detailed and widely accessible account of this paradigm, called Cosmic Relativity, supported by ample empirical evidence. It is established that all motional relativistic effects are cosmic gravitational effects. The new theory of Cosmic Relativity solves and answers all outstanding questions and puzzles about dynamics and relativity.




Solved Problems in Classical Mechanics


Book Description

simulated motion on a computer screen, and to study the effects of changing parameters. --




Astrophysical Magnetic Fields


Book Description

This self-contained introduction to astrophysical magnetic fields provides a comprehensive review of the current state of the field and a critical discussion of the latest research. Its emphasis on results that are likely to form the basis for future progress benefits a broad audience of advanced students and active researchers.




Introduction to General Relativity, Black Holes, and Cosmology


Book Description

A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.




How the Universe Got Its Spots


Book Description

Is the universe infinite, or is it just really big? Does nature abhor infinity? In startling and beautiful prose, Janna Levin's diary of unsent letters to her mother describes what we know about the shape and extent of the universe, about its beginning and its end. She grants the uninitiated access to the astounding findings of contemporary theoretical physics and makes tangible the contours of space and time—those very real curves along which apples fall and planets orbit. Levin guides the reader through the observations and thought-experiments that have enabled physicists to begin charting the universe. She introduces the cosmic archaeology that makes sense of the pattern of hot spots left over from the big bang, a pursuit on the verge of discovering the shape of space itself. And she explains the topology and the geometry of the universe now coming into focus—a strange map of space full of black holes, chaotic flows, time warps, and invisible strings. Levin advances the controversial idea that this map is edgeless but finite—that the universe is huge but not unending—a radical revelation that would provide the ultimate twist to the Copernican revolution by locating our precise position in the cosmos. As she recounts our increasingly rewarding attempt to know the universe, Levin tells her personal story as a scientist isolated by her growing knowledge. This book is her remarkable effort to reach across the distance of that knowledge and share what she knows with family and friends—and with us. Highly personal and utterly original, this physicist’s diary is a breathtaking contemplation of our deep connection with the universe and our aspirations to comprehend it.




Relativistic Cosmology


Book Description

Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.




Principles of Neural Coding


Book Description

Understanding how populations of neurons encode information is the challenge faced by researchers in the field of neural coding. Focusing on the many mysteries and marvels of the mind has prompted a prominent team of experts in the field to put their heads together and fire up a book on the subject. Simply titled Principles of Neural Coding, this book covers the complexities of this discipline. It centers on some of the major developments in this area and presents a complete assessment of how neurons in the brain encode information. The book collaborators contribute various chapters that describe results in different systems (visual, auditory, somatosensory perception, etc.) and different species (monkeys, rats, humans, etc). Concentrating on the recording and analysis of the firing of single and multiple neurons, and the analysis and recording of other integrative measures of network activity and network states—such as local field potentials or current source densities—is the basis of the introductory chapters. Provides a comprehensive and interdisciplinary approach Describes topics of interest to a wide range of researchers The book then moves forward with the description of the principles of neural coding for different functions and in different species and concludes with theoretical and modeling works describing how information processing functions are implemented. The text not only contains the most important experimental findings, but gives an overview of the main methodological aspects for studying neural coding. In addition, the book describes alternative approaches based on simulations with neural networks and in silico modeling in this highly interdisciplinary topic. It can serve as an important reference to students and professionals.







Computational Complexity


Book Description

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.




Duality of Time


Book Description

The Duality of Time Theory is the result of more than two decades of ceaseless investigation and searching through ancient manuscripts of concealed philosophies and mystical traditions, comparing all that with the fundamental results of modern physics and cosmology, until all the contradicting jigsaw pieces were put together into this brilliant portrait. Without the overwhelming proofs and strong confirmations that accumulated over time, it would have been impossible to pursue this long research path, as it was extremely challenging to appreciate the unfathomable secret of time and the consequences of the ongoing perpetual creation of space, that result from the Single Monad Model of the Cosmos. The complex-time geometry of the Duality of Time Theory explains how the physical dimensions of space are sequentially being re-created in the inner levels of time, which makes the outward time genuinely imaginary with respect to the inner real levels. This is easily expressed in terms of the hyperbolic split-complex numbers, that characterize the Relativistic Lorentzian Symmetry. This will have deep implications because space-time has become naturally quantized in a way that explains and unites all the three principles of Relativity, leading to full Quantum Field Theory of Gravity, as well as explaining all the other fundamental interactions in terms of the new granular space-time geometry. This ultimate unification will solve many persisting problems in physics and cosmology. The homogeneity problem, for example, will instantly cease, since the Universe, no matter how large it could be, is re-created sequentially in the inner time, so all the states are updated and synchronized before they appear in the outer level that we encounter. Furthermore, the Duality of Time does not only unify all the fundamental interactions in terms of its genuinely-complex time-time geometry, but it unifies this whole physical world with the two other even more fundamental domains of the psychical and spiritual worlds. All these three conclusive and complementary realms are constructed on the same concept of space-time geometry that together form one single absolute and perfectly symmetrical space. This particular subject is treated at length in the Third Volume of this book series - the Ultimate Symmetry, which explores how the apparent physical and metaphysical multiplicity is emerging from the absolute Oneness of Divine Presence, descending through four fundamental levels of symmetry: ultimate, hyper, super and normal. Among many other astonishing consequences, this astounding conclusion means that the psychical world is composed of atoms and molecules that are identical with the physical world except that they are evolving in orthogonal time direction. It may appear initially impossible to believe how the incorporeal worlds may have the same atomic structure as the physical world, but it is more appropriate to say that physical structures are eventually incorporeal, because they become various wave phenomena and energy interactions as soon as we dive into their microscopic level, as it is now confirmed by Quantum Field Theories. In the Duality of Time Theory, since rigid space is created sequentially in the inner time, energy may become negative, imaginary and even multidimensional, which simply means that all things in creation are various kinds of energy moments that are spreading on different intersecting dimensions of time; so not only mass and energy are equivalent, but also charge and all other physical and metaphysical entities are interconvertible types of energy, including consciousness and information.