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Author: Stephen Allan Selesnick Publisher: World Scientific ISBN: 9812386912 Category : Science Languages : en Pages : 487
Book Description
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for ? and an introduction to ? the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis ? that quantum physics at a fundamental level may itself be realized as a species of quantum computation ? is strongly underscored.
Author: Stephen Allan Selesnick Publisher: World Scientific ISBN: 9812386912 Category : Science Languages : en Pages : 487
Book Description
In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for ? and an introduction to ? the enterprise known as quantum computing.The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis ? that quantum physics at a fundamental level may itself be realized as a species of quantum computation ? is strongly underscored.
Author: Selesnick Steve A Publisher: World Scientific ISBN: 9814496979 Category : Science Languages : en Pages : 284
Book Description
In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given. Specifically, his suggestion that some sort of quantum-set-like structure should underlie our macroscopic perception of spacetime is developed to the point where a fair slice of fundamental physics (for a massless world) may be formally derived in an elementary fashion from the ground up. In detail, a model of what Finkelstein has dubbed a “quantum net”, in conjunction with a carefully and extensively articulated correspondence principle, gives rise to the standard Lagrangians for: massless Dirac fermions, general relativity, and Yang-Mills fields for the gauge groups, U(1) x SU(2), and SU(3). These Lagrangians emerge replete with (Feynman) gauge-fixing terms and ghost fields, and a chiral breaking mechanism in the case of SU(2). The results are interpreted in the light of the Standard Model.
Author: Emmerson, Parker Publisher: Parker Emmerson Publishes on Lulu ISBN: Category : Computers Languages : en Pages : 447
Book Description
This work is an attempt to describe various braches of mathematics and the analogies betwee them. Namely: 1) Symbolic Analogic 2) Lateral Algebraic Expressions 3) Calculus of Infin- ity Tensors Energy Number Synthesis 4) Perturbations in Waves of Calculus Structures (Group Theory of Calculus) 5) Algorithmic Formation of Symbols (Encoding Algorithms) The analogies between each of the branches (and most certainly other branches) of mathematics form, ”logic vectors.” Forming vector statements of logical analogies and semantic connections between the di↵erentiated branches of math- ematics is useful. It’s useful, because it gives us a linguistic notation from which we can derive other insights. These combined insights from the logical vector space connections yield a combination of Numeric Energy and the logic space. Thus, I have derived and notated many of the most useful tangent ideas from which even more correlations and connections ca be drawn. Using AI, these branches can be used to form even more connections through training of lan- guage engines on the derived models. Through the vector logic space and the discovery of new sheaf (Limbertwig), vast combinations of novel, mathematical statements are derived. This paves the way for an AGI that is not rigid, but flex- ible, like a Limbertwig. The Limbertwig sheaf is open, meaning it can receive other mathematical logic vectors with di↵erent designated meanings (of infi- nite or finite indicated elements). Furthermore, the articulation of these syntax forms evolves language away from imperative statements into a mathematically emotive space. Indeed, shown within, we see how the supramanifold of logic is shared with the supramanifold of space-time mathematically. Developing clean mathematical spaces can help meditation, thought pro- cess, acknowledgment of ideas spoken into that cognitive-spacetime and in turn, methods by which paradoxes can be resolved linguistically. This toolkit should be useful to all in the sciences as well as those bridging the humantities to mathematics. Using our memories as a toolkit to aggregate these ideas breaks down bound- aries between them in a new, exciting way. Merging philosophy and Quantum Mechanics together through the lens of symbolic analogies gives the tools to unravel this mystery of all mysteries. Mathematics thus exists as a bridge al- beit a complex one between the two disciplines, giving life to a composite art of problem-solving. Furthermore, mathematics yields to millions of other applications that are potentially limited only by our imagination. From massive data sets used for predictive analytics to emerging fields in medicine, mathematics is an energy and force at the center of possibilities. The power of mathematics to help manage life exists in its ability to shape and model the world in which we live and interact with one another. In conclusion, mathematics is a powerful tool that creates bridges and con- nections between many disciplines and serves as a powerful form of analytical data consumption. It provides language-rich bridges from which to assemble vast fields of theoretical investigations and create groundbreaking innovations. As we approach new horizons in the technology timeline, mathematics will con- tinue to be a powerful driver of creativity and progress.
Author: Anastasios Mallios Publisher: Springer Science & Business Media ISBN: 0817646345 Category : Mathematics Languages : en Pages : 244
Book Description
Original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Author: Amoroso Richard L Publisher: World Scientific ISBN: 9814719072 Category : Science Languages : en Pages : 620
Book Description
Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.
Author: Shyam Wuppuluri Publisher: Springer ISBN: 3319444182 Category : Science Languages : en Pages : 530
Book Description
In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Author: Samuel K. K. Blankson Publisher: Lulu.com ISBN: 1409268098 Category : Biography & Autobiography Languages : en Pages : 275
Book Description
PaperbackIn 1905, when Albert Einstein introduced a new theory of time as space-time, otherwise known as âlocal timeâ, some philosophers considered it as (probably) his greatest discovery. The reason, evidently, is that time is more important than anything else except life itself. But what, essentially, is it? Einstein did not give us the philosophical interpretation of space-time. That is a task for the philosophers. Samuel K. K. Blankson, the Ghanaian philosopher, gives one of the most lucid and logical interpretations of what Einstein called âtime, pure and simpleâ. The strange and extremely technical phenomenon known as âtime dilationâ, which inspired Einstein to discover his special theory of relativity, is lucidly explained. The reader will find the answer simple and most surprising, and, it is hoped, satisfactory too.
Author: Pravir Malik Publisher: Deep Order Technologies ISBN: 0990357481 Category : Science Languages : en Pages : 221
Book Description
This book leverages an alternative interpretation of Quantum Theory explored in the Cosmology of Light book series, to suggest an alternative way to conceive of the fledgling field of Quantum Computing. The dynamics of superposition and entanglement are explored from the point of view of precipitating layers of reality so set up by light traveling at slower and slower speeds down to c, to in fact arrive at a different notion of quanta, of superposition, and of entanglement, that will suggest that reality at the quantum-level may be different from the view commonly held today. The very basis of modern-day quantum computing that relies on infinite number of superposed quantum states, on probability, on observable measurement that brings things into reality, is bought into question in the Light-centered Interpretation discussed in this book. In fact from the point of view of the latter interpretation superposition, entanglement, and reality take on a different meaning and the infinite processing power allegedly true of quantum states, like the new clothes in Han Christian Andersen’s The Emperor’s New Clothes simply does not exist in the manner in which it has been conceived. In the mathematical model of Light presented in this book all emergences are a result of the underlying fourfold properties of Light. Everything can be understood as a precise application of the core Light-Space-Time Emergence model. This is not unlike using binary representation of ones and zeros to code anything. The coding scheme here is a multi-layered fourfold symmetry, capable of modeling infinite diversity that captures functional to practical aspects that define any phenomenon or object. This scheme of coding lends itself to phenomena such as creation and emergence, and hence to a vast range of potential creative computation applications. Such a difference between construction, the focus of digital computing, and creation, the possible focus of quantum computing as elaborated in this book, is perhaps best captured by this image suggested by Albert Einstein: "Nature shows us only the tail of the lion. But there is no doubt in my mind that the lion belongs with it even if he cannot reveal himself to the eye all at once because of his huge dimension."
Author: Carlo Rovelli Publisher: Penguin ISBN: 0735216118 Category : Science Languages : en Pages : 257
Book Description
One of TIME’s Ten Best Nonfiction Books of the Decade "Meet the new Stephen Hawking . . . The Order of Time is a dazzling book." --The Sunday Times From the bestselling author of Seven Brief Lessons on Physics, Reality Is Not What It Seems, Helgoland, and Anaximander comes a concise, elegant exploration of time. Why do we remember the past and not the future? What does it mean for time to "flow"? Do we exist in time or does time exist in us? In lyric, accessible prose, Carlo Rovelli invites us to consider questions about the nature of time that continue to puzzle physicists and philosophers alike. For most readers this is unfamiliar terrain. We all experience time, but the more scientists learn about it, the more mysterious it remains. We think of it as uniform and universal, moving steadily from past to future, measured by clocks. Rovelli tears down these assumptions one by one, revealing a strange universe where at the most fundamental level time disappears. He explains how the theory of quantum gravity attempts to understand and give meaning to the resulting extreme landscape of this timeless world. Weaving together ideas from philosophy, science and literature, he suggests that our perception of the flow of time depends on our perspective, better understood starting from the structure of our brain and emotions than from the physical universe. Already a bestseller in Italy, and written with the poetic vitality that made Seven Brief Lessons on Physics so appealing, The Order of Time offers a profoundly intelligent, culturally rich, novel appreciation of the mysteries of time.
Author: Stephen Allan Selesnick
Author: Stephen Allan Selesnick
Author: Selesnick Steve A
Author: Emmerson, Parker
Author: Anastasios Mallios
Author: Robert Mills
Author: Amoroso Richard L
Author: Shyam Wuppuluri
Author: Samuel K. K. Blankson
Author: Pravir Malik
Author: Carlo Rovelli