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.
Quanta, Logic and Spacetime
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.
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.
Limbertwig
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.
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.
Modern Differential Geometry in Gauge Theories
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
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
Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity
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.
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.
Unified Field Mechanics: Natural Science Beyond The Veil Of Spacetime - Proceedings Of The Ix Symposium Honoring Noted French Mathematical Physicist Jean-pierre Vigier
Author: Richard L Amoroso
Publisher: World Scientific
ISBN: 9814719072
Category : Science
Languages : en
Pages : 621
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.
Publisher: World Scientific
ISBN: 9814719072
Category : Science
Languages : en
Pages : 621
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.
Space, Time and the Limits of Human Understanding
Author: Shyam Wuppuluri
Publisher: Springer
ISBN: 3319444182
Category : Science
Languages : en
Pages : 524
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.
Publisher: Springer
ISBN: 3319444182
Category : Science
Languages : en
Pages : 524
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.
TIME in SCIENCE and LIFE the Greatest Legacy of Albert Einstein
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.
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.
Mathematical Reviews
Narratives on Prison Governmentality
Author: Marco Nocente
Publisher: Taylor & Francis
ISBN: 1000935108
Category : Social Science
Languages : en
Pages : 152
Book Description
Narratives on Prison Governmentality explores prison governmentality through the analysis of letters of prisoners. The collection of testimonies represents the opportunities and difficulties of resisting in a place of power, which, in recent years, has become more sophisticated and effective. In recent years there has been a progressive individualisation of the prison population and a continuous erosion of solidarity. The condition of prisoners is influenced by renewed governmental logic that has become more effective for management and even reproduced by the prisoners themselves. Italian prison governmentality has been presented in its softest and hardest discursive forms and material regimes as part of a whole differentiated repertoire. Through the narratives of prison letters, the book shows the sophistication of these carceral logics from the perspective of prisoners engaged in the struggle. Engaging theories of carceral geography and critical criminology, the book focuses on space and time as the dimensions from which to observe power relations and governmentality. Narratives on Prison Governmentality will be of great interest to students and scholars of Penology, Narrative Criminology, Carceral Geography, and Critical Criminology.
Publisher: Taylor & Francis
ISBN: 1000935108
Category : Social Science
Languages : en
Pages : 152
Book Description
Narratives on Prison Governmentality explores prison governmentality through the analysis of letters of prisoners. The collection of testimonies represents the opportunities and difficulties of resisting in a place of power, which, in recent years, has become more sophisticated and effective. In recent years there has been a progressive individualisation of the prison population and a continuous erosion of solidarity. The condition of prisoners is influenced by renewed governmental logic that has become more effective for management and even reproduced by the prisoners themselves. Italian prison governmentality has been presented in its softest and hardest discursive forms and material regimes as part of a whole differentiated repertoire. Through the narratives of prison letters, the book shows the sophistication of these carceral logics from the perspective of prisoners engaged in the struggle. Engaging theories of carceral geography and critical criminology, the book focuses on space and time as the dimensions from which to observe power relations and governmentality. Narratives on Prison Governmentality will be of great interest to students and scholars of Penology, Narrative Criminology, Carceral Geography, and Critical Criminology.
Religious and Philosophical Topics
Author: Gary Clifford Gibson
Publisher: Lulu.com
ISBN: 0557081688
Category : Religion
Languages : en
Pages : 236
Book Description
Religious and philosophical topics written between 2007 and 2009 form this collection of essays published by Gary C. Gibson in 2009.
Publisher: Lulu.com
ISBN: 0557081688
Category : Religion
Languages : en
Pages : 236
Book Description
Religious and philosophical topics written between 2007 and 2009 form this collection of essays published by Gary C. Gibson in 2009.