Smolin, Lee 1955
Overview
Works:  59 works in 314 publications in 15 languages and 8,271 library holdings 

Genres:  History Popular works Educational films Internet videos Exhibition catalogs 
Roles:  Author, Other 
Classifications:  QC6, 530.14 
Publication Timeline
.
Most widely held works about
Lee Smolin
 The source of all love : Catholicity and the Trinity by Heidi Russell( Book )
 The timeless unfolding in time : the spatialization of time and its role in human consciousness by Michael Brendan Moore( )
Most widely held works by
Lee Smolin
The trouble with physics : the rise of string theory, the fall of a science, and what comes next by
Lee Smolin(
Book
)
68 editions published between 2006 and 2016 in 11 languages and held by 2,320 WorldCat member libraries worldwide
A theoretical physicist describes how the current focus on exotic particles, string theory, multiple universes, and other provocative but untested ideas dominates the field of physics and may hinder the progress of science
68 editions published between 2006 and 2016 in 11 languages and held by 2,320 WorldCat member libraries worldwide
A theoretical physicist describes how the current focus on exotic particles, string theory, multiple universes, and other provocative but untested ideas dominates the field of physics and may hinder the progress of science
The life of the cosmos by
Lee Smolin(
Book
)
45 editions published between 1996 and 2009 in 4 languages and held by 1,977 WorldCat member libraries worldwide
Cosmologist Lee Smolin offers a startling new theory of the universe that is at once elegant, comprehensive, and radically different from anything proposed before. In The Life of the Cosmos, Smolin cuts the Gordian knot of cosmology with a simple, powerful idea: "The underlying structure of our world," he writes, "is to be found in the logic of evolution." Today's physicists have overturned Newton's view of the universe, yet they continue to cling to an understanding of reality not unlike Newton's own  as a clock, an intricate mechanism, governed by laws which are mathematical and eternally true. Smolin argues that the laws of nature we observe may be in part the result of a process of natural selection which took place before the big bang. Smolin's ideas are based on recent developments in cosmology, quantum theory, relativity and string theory, yet they offer, at the same time, an unprecedented view of how these developments may fit together to form a new theory of cosmology. From this perspective, the lines between the simple and the complex, the fundamental and the emergent, and even between the biological and the physical are redrawn. The result is a framework that illuminates many intractable problems, from the paradoxes of quantum theory and the nature of space and time to the problem of constructing a final theory of physics. As he argues for this new view, Smolin introduces the reader to recent developments in a wide range of fields, from string theory and quantum gravity to evolutionary theory the structure of galaxies. He examines the philosophical roots of controversies in the foundations of physics, and shows how they may be transformed as science moves toward understanding the universe as an interrelated, selfconstructed entity, within which life and complexity have a natural place, and in which "the occurrence of novelty, indeed the perpetual birth of novelty, can be understood."
45 editions published between 1996 and 2009 in 4 languages and held by 1,977 WorldCat member libraries worldwide
Cosmologist Lee Smolin offers a startling new theory of the universe that is at once elegant, comprehensive, and radically different from anything proposed before. In The Life of the Cosmos, Smolin cuts the Gordian knot of cosmology with a simple, powerful idea: "The underlying structure of our world," he writes, "is to be found in the logic of evolution." Today's physicists have overturned Newton's view of the universe, yet they continue to cling to an understanding of reality not unlike Newton's own  as a clock, an intricate mechanism, governed by laws which are mathematical and eternally true. Smolin argues that the laws of nature we observe may be in part the result of a process of natural selection which took place before the big bang. Smolin's ideas are based on recent developments in cosmology, quantum theory, relativity and string theory, yet they offer, at the same time, an unprecedented view of how these developments may fit together to form a new theory of cosmology. From this perspective, the lines between the simple and the complex, the fundamental and the emergent, and even between the biological and the physical are redrawn. The result is a framework that illuminates many intractable problems, from the paradoxes of quantum theory and the nature of space and time to the problem of constructing a final theory of physics. As he argues for this new view, Smolin introduces the reader to recent developments in a wide range of fields, from string theory and quantum gravity to evolutionary theory the structure of galaxies. He examines the philosophical roots of controversies in the foundations of physics, and shows how they may be transformed as science moves toward understanding the universe as an interrelated, selfconstructed entity, within which life and complexity have a natural place, and in which "the occurrence of novelty, indeed the perpetual birth of novelty, can be understood."
Three roads to quantum gravity by
Lee Smolin(
Book
)
55 editions published between 2000 and 2017 in 4 languages and held by 1,792 WorldCat member libraries worldwide
"It is a search for a view of the universe that unites two seemingly opposed pillars of modern science: Einstein's theory of general relativity, which deals with large scale phenomena like planets, solar systems and galaxies, and quantum theory, which deals with the world of the very small  molecules, atoms and electrons. In the last few years, physicists have made big steps toward their goal of a completely new theory of space, time and the universe, a "theory of everything." In Three Roads to Quantum Gravity, Lee Smolin, who has spent his career at the forefront of these new discoveries, presents the main ideas behind the new developments that have brought a quantum theory of gravity in sight. He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings and black holes. As he does so, he tells the stories behind these discoveries: the rivalries, epiphanies and intrigues he witnessed first hand."Jacket
55 editions published between 2000 and 2017 in 4 languages and held by 1,792 WorldCat member libraries worldwide
"It is a search for a view of the universe that unites two seemingly opposed pillars of modern science: Einstein's theory of general relativity, which deals with large scale phenomena like planets, solar systems and galaxies, and quantum theory, which deals with the world of the very small  molecules, atoms and electrons. In the last few years, physicists have made big steps toward their goal of a completely new theory of space, time and the universe, a "theory of everything." In Three Roads to Quantum Gravity, Lee Smolin, who has spent his career at the forefront of these new discoveries, presents the main ideas behind the new developments that have brought a quantum theory of gravity in sight. He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings and black holes. As he does so, he tells the stories behind these discoveries: the rivalries, epiphanies and intrigues he witnessed first hand."Jacket
Time reborn : from the crisis in physics to the future of the universe by
Lee Smolin(
Book
)
26 editions published between 2013 and 2016 in English and held by 1,304 WorldCat member libraries worldwide
"From one of our foremost thinkers and public intellectuals, a radical new view of the nature of time and the cosmos What is time? This deceptively simple question is the single most important problem facing science as we probe more deeply into the fundamentals of the universe. All of the mysteries physicists and cosmologists facefrom the Big Bang to the future of the universe, from the puzzles of quantum physics to the unification of forces and particlescome down to the nature of time. The fact that time is real may seem obvious. You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists, from Newton to Einstein to today's quantum theorists, have seen things differently. The scientific case for time being an illusion is formidable. That is why the consequences of adopting the view that time is real are revolutionary. Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues that a limited notion of time is holding physics back. It's time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics. What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilities. There are few ideas that, like our notion of time, shape our thinking about literally everything, with huge implications for physics and beyondfrom climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world"
26 editions published between 2013 and 2016 in English and held by 1,304 WorldCat member libraries worldwide
"From one of our foremost thinkers and public intellectuals, a radical new view of the nature of time and the cosmos What is time? This deceptively simple question is the single most important problem facing science as we probe more deeply into the fundamentals of the universe. All of the mysteries physicists and cosmologists facefrom the Big Bang to the future of the universe, from the puzzles of quantum physics to the unification of forces and particlescome down to the nature of time. The fact that time is real may seem obvious. You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists, from Newton to Einstein to today's quantum theorists, have seen things differently. The scientific case for time being an illusion is formidable. That is why the consequences of adopting the view that time is real are revolutionary. Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues that a limited notion of time is holding physics back. It's time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics. What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilities. There are few ideas that, like our notion of time, shape our thinking about literally everything, with huge implications for physics and beyondfrom climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world"
The singular universe and the reality of time : a proposal in natural philosophy by
Roberto Mangabeira Unger(
Book
)
21 editions published between 2014 and 2015 in English and held by 471 WorldCat member libraries worldwide
Cosmology is in crisis. The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, worldrenowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to nonscientists as well as to the physicists and cosmologists whom it challenges
21 editions published between 2014 and 2015 in English and held by 471 WorldCat member libraries worldwide
Cosmology is in crisis. The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, worldrenowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to nonscientists as well as to the physicists and cosmologists whom it challenges
La renaissance du temps : pour en finir avec la crise de la physique by
Lee Smolin(
Book
)
11 editions published between 2013 and 2017 in 6 languages and held by 97 WorldCat member libraries worldwide
 The Trouble with Physics What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilities. There are few ideas that, like our notion of time, shape our thinking about literally everything, with huge implications for physics and beyond?from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world
11 editions published between 2013 and 2017 in 6 languages and held by 97 WorldCat member libraries worldwide
 The Trouble with Physics What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilities. There are few ideas that, like our notion of time, shape our thinking about literally everything, with huge implications for physics and beyond?from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world
Time reborn by
Lee Smolin(
)
11 editions published between 2013 and 2015 in English and held by 63 WorldCat member libraries worldwide
What is time? This deceptively simple question is the single most important problem facing science as we probe more deeply into the fundamentals of the universe. All of the mysteries physicists and cosmologists facefrom the Big Bang to the future of the universe, from the puzzles of quantum physics to the unification of forces and particlescome down to the nature of time. The fact that time is real may seem obvious. You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists, from Newton to Einstein to today's quantum theorists, have seen things differently. The scientific case for time being an illusion is formidable. That is why the consequences of adopting the view that time is real are revolutionary
11 editions published between 2013 and 2015 in English and held by 63 WorldCat member libraries worldwide
What is time? This deceptively simple question is the single most important problem facing science as we probe more deeply into the fundamentals of the universe. All of the mysteries physicists and cosmologists facefrom the Big Bang to the future of the universe, from the puzzles of quantum physics to the unification of forces and particlescome down to the nature of time. The fact that time is real may seem obvious. You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists, from Newton to Einstein to today's quantum theorists, have seen things differently. The scientific case for time being an illusion is formidable. That is why the consequences of adopting the view that time is real are revolutionary
Im Universum der Zeit : auf dem Weg zu einem neuen Verständnis des Kosmos by
Lee Smolin(
Book
)
7 editions published between 2014 and 2015 in German and held by 54 WorldCat member libraries worldwide
7 editions published between 2014 and 2015 in German and held by 54 WorldCat member libraries worldwide
The rise of string theory, the fall of a science and what comes next by
Lee Smolin(
Book
)
1 edition published in 2006 in English and held by 18 WorldCat member libraries worldwide
The author argues that physics  the basis for all other science  has lost its way. He charts the rise and fall of string theory  an ambitious attempt to formulate 'a theory of everything' that explains all the forces of nature  and takes a fascinating look at what will replace it. Originally published: Boston, Mass.: Houghton Mifflin, 2006
1 edition published in 2006 in English and held by 18 WorldCat member libraries worldwide
The author argues that physics  the basis for all other science  has lost its way. He charts the rise and fall of string theory  an ambitious attempt to formulate 'a theory of everything' that explains all the forces of nature  and takes a fascinating look at what will replace it. Originally published: Boston, Mass.: Houghton Mifflin, 2006
An Answer to Everything(
Visual
)
1 edition published in 1997 in English and held by 16 WorldCat member libraries worldwide
Program 6: We now know that the universe had a beginning and how all the matter formed but there is still one outstanding question: how did the Big Bang begin? Stephen Hawking is joined by other leading scientists as they try to answer this question. Includes discussions of inflation theory, quantum mechanics, and string theory
1 edition published in 1997 in English and held by 16 WorldCat member libraries worldwide
Program 6: We now know that the universe had a beginning and how all the matter formed but there is still one outstanding question: how did the Big Bang begin? Stephen Hawking is joined by other leading scientists as they try to answer this question. Includes discussions of inflation theory, quantum mechanics, and string theory
Einstein's unfinished revolution : the search for what lies beyond the quantum by
Lee Smolin(
Book
)
7 editions published between 2019 and 2020 in English and held by 13 WorldCat member libraries worldwide
Quantum physics is the golden child of modern science. It is the basis of our understanding of atoms, radiation, and so much else, from elementary particles and basic forces to the behavior of materials
7 editions published between 2019 and 2020 in English and held by 13 WorldCat member libraries worldwide
Quantum physics is the golden child of modern science. It is the basis of our understanding of atoms, radiation, and so much else, from elementary particles and basic forces to the behavior of materials
Three roads to quantum gravity by
Lee Smolin(
Recording
)
4 editions published between 2008 and 2018 in English and held by 10 WorldCat member libraries worldwide
In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final "theory of everything." He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand
4 editions published between 2008 and 2018 in English and held by 10 WorldCat member libraries worldwide
In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final "theory of everything." He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand
A memorial to nature I : an installation by Elizabeth Turk by
Elizabeth Turk(
Book
)
1 edition published in 2001 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 7 WorldCat member libraries worldwide
Ryōshi uchū e no 3tsu no michi by Shi mo lin(
Book
)
6 editions published between 2001 and 2006 in 3 languages and held by 7 WorldCat member libraries worldwide
6 editions published between 2001 and 2006 in 3 languages and held by 7 WorldCat member libraries worldwide
Spatiu, timp, univers : trei drumuri catre gravitatia cuantica by
Lee Smolin(
Book
)
3 editions published between 2002 and 2008 in Romanian and held by 4 WorldCat member libraries worldwide
3 editions published between 2002 and 2008 in Romanian and held by 4 WorldCat member libraries worldwide
Das demokratische Experiment : über die Zukunft von Wissenschaft und Gesellschaft by
Lee Smolin(
Book
)
1 edition published in 2008 in German and held by 3 WorldCat member libraries worldwide
1 edition published in 2008 in German and held by 3 WorldCat member libraries worldwide
Towards vertex renormalization in 4d spin foams by Andrzej Banburski(
Book
)
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
A longstanding open problem in 4dimensional Spin Foam models of Quantum Gravity has been the behavior of the amplitudes under coarse graining. In this thesis, we attempt to study this question by using the recent reformulation of Spin Foam amplitudes in terms of spinors. We define a new model by imposing the holomorphic simplicity constraints in an alternative way, which facilitates greatly simplified calculations. We show that the simplification does not come at the cost of loss of the correct semiclassical limit, as the model has the same asymptotic behavior as the usual approach. Using the power of the holomorphic integration techniques, and with the introduction of two new tools: the homogeneity map and the loop identity, for the first time we give the analytic expressions for the behavior of the Spin Foam amplitudes under 4dimensional Pachner moves. We show that the coarsegraining 51 move generates nongeometrical couplings, but we find a natural truncation scheme that restricts the flow to the space of 4simplices. Under this truncation scheme, the 33 Pachner move is only invariant for symmetric configurations, while the 42 and 51 moves are invariant up to an overall possibly divergent factor depending on boundary spins. The study of the divergences shows that there is a range of parameter space for which the 42 move is finite while the 51 move diverges, which distinguishes the model from the topological case. We then show that the amplitude after the 51 move cannot be written as a symmetric local product of renormalized edge propagators, but instead has to be written in terms of a vertex amplitude. The study of the additional nonlocal function of the boundary spins shows a transition, at which the spin dependence is very slow, suggesting the existence of an approximate notion of a vertex translation symmetry. We conclude with a proposal for an amplitude, where iterated 51 Pachner moves only renormalize this nonlocal function at a vertex, and in which all the divergences can be absorbed by a single coupling constant
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
A longstanding open problem in 4dimensional Spin Foam models of Quantum Gravity has been the behavior of the amplitudes under coarse graining. In this thesis, we attempt to study this question by using the recent reformulation of Spin Foam amplitudes in terms of spinors. We define a new model by imposing the holomorphic simplicity constraints in an alternative way, which facilitates greatly simplified calculations. We show that the simplification does not come at the cost of loss of the correct semiclassical limit, as the model has the same asymptotic behavior as the usual approach. Using the power of the holomorphic integration techniques, and with the introduction of two new tools: the homogeneity map and the loop identity, for the first time we give the analytic expressions for the behavior of the Spin Foam amplitudes under 4dimensional Pachner moves. We show that the coarsegraining 51 move generates nongeometrical couplings, but we find a natural truncation scheme that restricts the flow to the space of 4simplices. Under this truncation scheme, the 33 Pachner move is only invariant for symmetric configurations, while the 42 and 51 moves are invariant up to an overall possibly divergent factor depending on boundary spins. The study of the divergences shows that there is a range of parameter space for which the 42 move is finite while the 51 move diverges, which distinguishes the model from the topological case. We then show that the amplitude after the 51 move cannot be written as a symmetric local product of renormalized edge propagators, but instead has to be written in terms of a vertex amplitude. The study of the additional nonlocal function of the boundary spins shows a transition, at which the spin dependence is very slow, suggesting the existence of an approximate notion of a vertex translation symmetry. We conclude with a proposal for an amplitude, where iterated 51 Pachner moves only renormalize this nonlocal function at a vertex, and in which all the divergences can be absorbed by a single coupling constant
An exploration of locality, conservation laws, and spin by
Trevor Rempel(
Book
)
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
Conservation rules are central to our understanding of the physical world, they place re strictions on how particles can move and dictate what can occur during an interaction. However, it is often taken for granted how a conservation law is implemented. For example, “conservation of momentum” is the condition that the sum of incoming and outgoing momenta equals zero. In particular, we place a constraint on the momenta by means of a linear function. The assumption of a linear conservation rule is intimately linked to both the geometry of momentum space and locality of the corresponding interaction. In this thesis we investigate the link between locality and conservation rules in a variety of settings. Part 1 is principally concerned with scalar particles. We begin by constructing the interaction vertex for an arbitrary scattering process in a generic spacetime, showing that curvature is not sufficient to induce a nonlocal interaction. Along the way we develop a notion of covariant Fourier transform which is used to translate between spacetime and momentum space in the presence of a nontrivial geometry. We also explore the effect on quantum fields of explicitly imposing nonlocality via the “Relative Locality” framework. It is found that the fields depend, implicitly, on a fixed point in momentum space with fields based at different points related by a nonlocal transformation. On the other hand, all nonlocal behavior in the action can be concentrated in the interaction term. In the second part of this thesis we generalize the analysis of Part 1 to particles with internal structure, specifically spin. Of particular interest was the possibility that the presence of internal degrees of freedom could provide a sufficient modification of the vertex factor to allow for nonlocal interactions. Utilizing the coadjoint orbit method we develop a classical model of the relativistic spinning particle called the “Dual Phase Space” model (DPS) which allows for a coherent analysis of the vertex factor. We find that in addition to locality in the standard spacetime variable, interactions are “local” in a second “dual” spacetime variable. Inspired by this overt “duality” we show that DPS can be reformulated as a bilocal model. Specifically, DPS can be realized as the relativistic extension of a mechanical system consisting of two particles coupled by a rigid rod with fixed angular momentum about the center of mass. Interpreted in this way the model is easily quantized and yields the correct values for the spin quantum numbers. Next we consider a spinorial parameterization of DPS which is entirely first class and reveals several insights into how spin affects the dynamics of a relativistic particle. In particular, we find that the spin motion acts as a Lorentz contraction on the fourvelocity and that, in addition to proper time, spinning particles posses a second gauge invariant observable which we call proper angle. The notion of a “halfquantum” state is also introduced as a trajectory which violates the classical equations of motion but which does not produce an exponential suppression in the path integral. In the final chapter of the thesis we explore an extension of the Dual Phase Space Model which includes continuous spin particles. This extended model is then generalized to deSitter spacetime where we present a fully covariant parameterization of the model
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
Conservation rules are central to our understanding of the physical world, they place re strictions on how particles can move and dictate what can occur during an interaction. However, it is often taken for granted how a conservation law is implemented. For example, “conservation of momentum” is the condition that the sum of incoming and outgoing momenta equals zero. In particular, we place a constraint on the momenta by means of a linear function. The assumption of a linear conservation rule is intimately linked to both the geometry of momentum space and locality of the corresponding interaction. In this thesis we investigate the link between locality and conservation rules in a variety of settings. Part 1 is principally concerned with scalar particles. We begin by constructing the interaction vertex for an arbitrary scattering process in a generic spacetime, showing that curvature is not sufficient to induce a nonlocal interaction. Along the way we develop a notion of covariant Fourier transform which is used to translate between spacetime and momentum space in the presence of a nontrivial geometry. We also explore the effect on quantum fields of explicitly imposing nonlocality via the “Relative Locality” framework. It is found that the fields depend, implicitly, on a fixed point in momentum space with fields based at different points related by a nonlocal transformation. On the other hand, all nonlocal behavior in the action can be concentrated in the interaction term. In the second part of this thesis we generalize the analysis of Part 1 to particles with internal structure, specifically spin. Of particular interest was the possibility that the presence of internal degrees of freedom could provide a sufficient modification of the vertex factor to allow for nonlocal interactions. Utilizing the coadjoint orbit method we develop a classical model of the relativistic spinning particle called the “Dual Phase Space” model (DPS) which allows for a coherent analysis of the vertex factor. We find that in addition to locality in the standard spacetime variable, interactions are “local” in a second “dual” spacetime variable. Inspired by this overt “duality” we show that DPS can be reformulated as a bilocal model. Specifically, DPS can be realized as the relativistic extension of a mechanical system consisting of two particles coupled by a rigid rod with fixed angular momentum about the center of mass. Interpreted in this way the model is easily quantized and yields the correct values for the spin quantum numbers. Next we consider a spinorial parameterization of DPS which is entirely first class and reveals several insights into how spin affects the dynamics of a relativistic particle. In particular, we find that the spin motion acts as a Lorentz contraction on the fourvelocity and that, in addition to proper time, spinning particles posses a second gauge invariant observable which we call proper angle. The notion of a “halfquantum” state is also introduced as a trajectory which violates the classical equations of motion but which does not produce an exponential suppression in the path integral. In the final chapter of the thesis we explore an extension of the Dual Phase Space Model which includes continuous spin particles. This extended model is then generalized to deSitter spacetime where we present a fully covariant parameterization of the model
Gauge models of topological phases and applications to quantum gravity by Clément Martin Lucas Hugo Delcamp(
Book
)
1 edition published in 2018 in English and held by 3 WorldCat member libraries worldwide
In 2+1 dimensions, gravity is an SU(2) topological gauge theory that can be written as BF theory. In the condensed matter literature, the Hamiltonian realization of BF theory for finite groups is known as the Kitaev model. The corresponding Hamiltonian yields magnetic and electric pointlike excitations, both supported by punctures. In this context, the cylinder plays a special role since the gluing of two cylinders results in another cylinder, hence defining an algebra on the Hilbert space of states, referred to as Ocneanu's tube algebra. By choosing specific graphstates on the cylinder, we can confirm explicitly that this algebra is equivalent to the Drinfel'd double of the gauge group. The representation theory of the Drinfel'd double can then be used to define a basis of excited states associated with any punctured Riemann surface. This result can be adapted so as to define a new basis for the gauge invariant Hilbert space of lattice gauge theories, and a fortiori loop quantum gravity, replacing the wellknown spin network basis. In doing so, we naturally shift the focus from the underlying lattice to the excitations themselves, this notion of excitations being understood with respect to a given vacuum state, namely the socalled BF vacuum. This basis diagonalizes socalled ribbon operators that provide Dirac observables. Furthermore, it has an inherent hierarchical organization allowing to design states with a multiscale structure. This turns out to be extremely precious for studying the large scale structure of the theory. It also provides a new notion of subsystems for gauge theories. Being solely based on excitations, this leads to a completely relational way of defining regions. This can be used to define a new notion of entanglement entropy for lattice gauge theories and (2+1)d gravity coupled to point particles. These techniques can also be generalized so as to define excitation bases for (3+1)d gauge models of topological phases. Two approaches are considered in this thesis. The first one consists in generalizing Ocneanu's tube algebra by replacing the cylinder with the manifold obtained by cutting open a threetorus along one direction. This defines an algebraic structure extending the Drinfel'd double that can be used in a similar fashion as in (2+1)d. The other approach relies on Heegaard splittings of threemanifolds which perform a decomposition into handlebodies along socalled Heegaard surfaces. We use this technique to encode the Hilbert space of flat connections with curvature excitations of a threemanifold into the Hilbert space of flat connections on a 2d Heegaard surface, hence making the results derived in (2+1)d available to the study of the (3+1)d case
1 edition published in 2018 in English and held by 3 WorldCat member libraries worldwide
In 2+1 dimensions, gravity is an SU(2) topological gauge theory that can be written as BF theory. In the condensed matter literature, the Hamiltonian realization of BF theory for finite groups is known as the Kitaev model. The corresponding Hamiltonian yields magnetic and electric pointlike excitations, both supported by punctures. In this context, the cylinder plays a special role since the gluing of two cylinders results in another cylinder, hence defining an algebra on the Hilbert space of states, referred to as Ocneanu's tube algebra. By choosing specific graphstates on the cylinder, we can confirm explicitly that this algebra is equivalent to the Drinfel'd double of the gauge group. The representation theory of the Drinfel'd double can then be used to define a basis of excited states associated with any punctured Riemann surface. This result can be adapted so as to define a new basis for the gauge invariant Hilbert space of lattice gauge theories, and a fortiori loop quantum gravity, replacing the wellknown spin network basis. In doing so, we naturally shift the focus from the underlying lattice to the excitations themselves, this notion of excitations being understood with respect to a given vacuum state, namely the socalled BF vacuum. This basis diagonalizes socalled ribbon operators that provide Dirac observables. Furthermore, it has an inherent hierarchical organization allowing to design states with a multiscale structure. This turns out to be extremely precious for studying the large scale structure of the theory. It also provides a new notion of subsystems for gauge theories. Being solely based on excitations, this leads to a completely relational way of defining regions. This can be used to define a new notion of entanglement entropy for lattice gauge theories and (2+1)d gravity coupled to point particles. These techniques can also be generalized so as to define excitation bases for (3+1)d gauge models of topological phases. Two approaches are considered in this thesis. The first one consists in generalizing Ocneanu's tube algebra by replacing the cylinder with the manifold obtained by cutting open a threetorus along one direction. This defines an algebraic structure extending the Drinfel'd double that can be used in a similar fashion as in (2+1)d. The other approach relies on Heegaard splittings of threemanifolds which perform a decomposition into handlebodies along socalled Heegaard surfaces. We use this technique to encode the Hilbert space of flat connections with curvature excitations of a threemanifold into the Hilbert space of flat connections on a 2d Heegaard surface, hence making the results derived in (2+1)d available to the study of the (3+1)d case
Atomos del espacio y del tiempo by
Lee Smolin(
)
2 editions published in 2004 in Spanish and held by 2 WorldCat member libraries worldwide
2 editions published in 2004 in Spanish and held by 2 WorldCat member libraries worldwide
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 Unger, Roberto Mangabeira Author
 Grinbaum, Alexeï
 Rahner, Karl 19041984
 Russell, Heidi 1973 Author
 Catholic Church
 Bohm, David 19171992
 Pratt, Sean Narrator
 Schröder, Jürgen Translator
 Salez, Morvan Translator
 Connes, Alain (1947 ...).
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Fecund universes
Lee Smolin American cosmologist
Lee Smolin americký fyzik
Lee Smolin Amerikaans astronoom
Lee Smolin amerikansk fysikar og astronom
Lee Smolin amerikansk fysiker och astronom
Lee Smolin amerikansk fysiker og astronom
Lee Smolin fisico statunitense
Lee Smolin physicien américain
Lee Smolin USamerikanischer Physiker
Smolin, Lee
Smolinas Ly
Ли Смолин
Лий Смолин
Смолин, Ли
לי סמולין
لي سمولين
لی اسمولین ستارهشناس و فیزیکدان آمریکایی
ลี สโมลิน
리 스몰린
스몰린, 리 1955
スモーリン, リー
リー・スモーリン
李·思莫林
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