Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity
Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity

Author: Selesnick Steve A

Publisher: World Scientific

Published: 1998-03-12

Total Pages: 284

ISBN-13: 9814496979

DOWNLOAD EBOOK

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.

Quanta, Logic, and Spacetime
Quanta, Logic, and Spacetime

Author: Stephen Allan Selesnick

Publisher: World Scientific

Published: 1998

Total Pages: 286

ISBN-13: 9789810232559

DOWNLOAD EBOOK

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.

Quanta, Logic and Spacetime
Quanta, Logic and Spacetime

Author: Stephen Allan Selesnick

Publisher: World Scientific

Published: 2003

Total Pages: 487

ISBN-13: 9812386912

DOWNLOAD EBOOK

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.

Quantum-like Networks: An Approach To Neural Behavior Through Their Mathematics And Logic
Quantum-like Networks: An Approach To Neural Behavior Through Their Mathematics And Logic

Author: Stephen A Selesnick

Publisher: World Scientific

Published: 2022-08-03

Total Pages: 354

ISBN-13: 9811260710

DOWNLOAD EBOOK

Do brains compute? If they do, what do they compute and how do they do it? The first part of the book introduces the development of a model that simulates actual biological neurons more closely than do current standard models of neural networks, as well as the deduction of its physics-like and computational properties from first principles. The second part presents a collection of applications of the model to memory formation and loss, a general syntax for memory retrieval, language itself, and certain forms of aphasia. A linear development of the discussion with proofs in situ is employed by the author, making the book essentially self-contained. A pair of helpful appendices are provided to acquaint the reader with necessary fundamentals of topics in logic and mathematics. Quantum-like Networks: An Approach to Neural Behavior through their Mathematics and Logic will show you an entirely new approach to an ancient subject.

Modern Differential Geometry in Gauge Theories
Modern Differential Geometry in Gauge Theories

Author: Anastasios Mallios

Publisher: Springer Science & Business Media

Published: 2009-10-22

Total Pages: 244

ISBN-13: 0817646345

DOWNLOAD EBOOK

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

Quantum Relativity
Quantum Relativity

Author: David R. Finkelstein

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 584

ISBN-13: 3642609368

DOWNLOAD EBOOK

Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.

Flow of Time
Flow of Time

Author: Claus Birkholz

Publisher: BookRix

Published: 2014-12-02

Total Pages: 189

ISBN-13: 3736855842

DOWNLOAD EBOOK

Apply yesterday's variation principle to Gell-Mann's quarks, pepper it with the inconsistencies of unfounded ad-hoc tactics - and there you are with grandpa's classical "Standard" model having no strategy, no future, topped only by "string" fantasies "beyond" physics, with all the great questions left open. By marrying Planck's quanta with Einstein's General Relativity, the author is presenting the unified top-down model of a consistent "New Physics" (Quantum Gravity, including the Grand Unification) free of singularities and in accord with experiment. Space-time is bent, fully quantized and "background-independent". Old problems of fundamental physics emerge as self-explaining: 4-dimensionality, the quark confinement, flavours, cosmic inflation, the arrow of time, the physics of Black Holes with their event horizons, the origins of (ordinary and dark) matter, and much more is dropping out as self-evident properties of nature. Future starts to-day. Come along on the journey! The amazing success of "New Physics"/"Neue Physik" (with almost 10.000 copies sold in a single year) gave rise to this extended, 2nd edition renamed "Flow of Time". Main target groups: Students, physicists, mathematicians, but also people interested in philosophy or with an inclination to leave the beaten dead-end tracks of actual fundamental models of the old style in favour of more promising, novel ways.