C08023 - The Clock and the Quantum: Time and Quantum Foundations The Clock and the Quantum: Time and Quantum Foundations http://pirsa.org/podcast/C08023 Science 2012 http://blogs.law.harvard.edu/tech/rss en-ca Thu, 09 Feb 2012 04:33:40 -0500 sbradwell@perimeterinstitute.ca Thu, 09 Feb 2012 04:33:40 -0500 G 180 pirsa-admin@perimeterinstitute.ca Steve Bradwell's - Podcast Generator The Theory of Duration and Clocks In 1898, Poincaré identified two fundamental issues in the theory of time: 1)What is the basis for saying that a second today is the same as a second tomorrow? 2) How can one define simultaneity at spatially separated points? Poincaré outlined the solution to the first problem { which amounts to a theory of duration { in his 1898 paper, and in 1905 he and Einstein simultaneously solved the second problem. Einstein's daring and elegant approach so gripped the imagination of theoreticians, especially after Minkowski's introduction of spacetime,that the definition of duration, and with it the theory of clocks, has received virtually no attention for over a century. This is a remarkable state of affairs and is a major cause of the conceptual confusion surrounding the problem of time in the canonical approach to the creation of a quantum theory of gravity. In my talk I shall develop Poincaré's outline into a potentially definitive theory of duration and clocks. Julian Barbour http://streamer.perimeterinstitute.ca/mp3/16645d98-e035-4965-9eb2-24a4d45cb024.mp3 Science http://streamer.perimeterinstitute.ca/mp3/16645d98-e035-4965-9eb2-24a4d45cb024.mp3 Sun, 28 Sep 2008 10:00:00 -0400 Clocks and time in quantum theory I will examine a number of time-related issues arising in quantum theory, and in particular attempt to address the following basic questions from a quantum perspective: 1. What is a clock? 2. Why do uniformly moving clocks dilate? 3. What is the behaviour of accelerating clocks? Harvey Brown http://streamer.perimeterinstitute.ca/mp3/edb3e782-0fc6-4597-9e8c-6ecc57870540.mp3 Science http://streamer.perimeterinstitute.ca/mp3/edb3e782-0fc6-4597-9e8c-6ecc57870540.mp3 Sun, 28 Sep 2008 11:45:00 -0400 The Two State Vector Formalism. A brief review of the Two State Vector Formalism (TSVF) will be presented. It will be argued that we need to consider also backwards evolving quantum state because information given by forwards evolving quantum states is not complete. Both past and future measurements are required for providing complete information about quantum systems. Peculiar properties of pre- and post-selected quantum systems which can be efficiently analyzed in the framework of the TSVF and which can be observed using weak measurements will be described. An example is a particle reaching a certain location without being on the path that leads to and from this location. An extension of the TSVF to multiple space-time points will be discussed. Lev Vaidman http://streamer.perimeterinstitute.ca/mp3/549c49e9-5a57-4e5a-a75f-056b24cc56fb.mp3 Science http://streamer.perimeterinstitute.ca/mp3/549c49e9-5a57-4e5a-a75f-056b24cc56fb.mp3 Sun, 28 Sep 2008 15:00:00 -0400 Time in Bohmian Mechanics My favorite version of quantum mechanics is Bohmian mechanics, a theory about particle trajectories. What is so great about it is that it removes all the mystery from quantum mechanics. I will provide a Bohmian perspective on some issues about time, including time measurements (Why is there no time operator?), tunnelling times (How long did the particle stay inside the barrier?), and the problem of time in quantum gravity (How can it be that the wave function of the Wheeler-de Witt equation is time-independent?). I will particularly address the arrow of time, including the question whether quantum measurements are examples of fundamental time asymmetry (like PCT violations, as Roger Penrose has suggested) or merely of irreversibility (like thermodynamics), and the problem how to transfer Boltzmann's explanation of the arrow of time from classical to quantum mechanics. Roderich Tumulka http://streamer.perimeterinstitute.ca/mp3/09003e0f-d60f-4a85-894d-1ddb234aac3e.mp3 Science http://streamer.perimeterinstitute.ca/mp3/09003e0f-d60f-4a85-894d-1ddb234aac3e.mp3 Sun, 28 Sep 2008 16:30:00 -0400 Philosophical Theories of Time meet Quantum Gravity Phil Dowe http://streamer.perimeterinstitute.ca/mp3/7b3d2248-9d8f-4689-b01f-b69e89168be2.mp3 Science http://streamer.perimeterinstitute.ca/mp3/7b3d2248-9d8f-4689-b01f-b69e89168be2.mp3 Mon, 29 Sep 2008 10:00:00 -0400 Thinking Inside the Box: Weakly Measuring Postselected Ensembles The presumed irreversibility of quantum measurements (whatever they are) leads, in conventional approaches to quantum theory, to an asymmetry between state preparation and post-selection. Is it possible that a trajectory can be predicted from the former, yet not inferred from the latter? Especially in light of the exciting applications of non-unitary operations (i.e., postselection) in quantum information, it becomes timely to reconsider how much one can say about a post-selected subensemble. I will review the weak-measurement formalism of Aharonov, Vaidman et al., and discuss some applications and extensions. These will include a proposed experiment to study the duration of the tunneling process (a question controversial since the 1930s) and a recently completed experiment aiming to 'resolve' Hardy's retrodiction paradox. Aephraim Steinberg http://streamer.perimeterinstitute.ca/mp3/fa8eba66-11ca-43af-967a-6e96658d15c1.mp3 Science http://streamer.perimeterinstitute.ca/mp3/fa8eba66-11ca-43af-967a-6e96658d15c1.mp3 Mon, 29 Sep 2008 11:45:00 -0400 Relational time and intrinsic decoherence. One approach to the problem of time in canonical quantum gravity is to use correlations between a carefully chosen physical system and all other physical systems to provide a simulacrum of time. Time emerges as an ordering of correlated measurement results. In many ways this is an echo of an idea introduced by Poincare to give a geometric description of dynamical systems. Pullin and Gambini have addressed some objections to this approach using a consistent discretization, but in so doing introduce an intrinsic decoherence mechanism into physical theories. In this talk I will show how this approach leads to a simple form of intrinsic decoherence that has possible experimental consequences, among which are modifications to the dispersion relations of the electromagnetic field. This form of decoherence enables the emergence of semiclassical behavior of large systems. Gerard Milburn http://streamer.perimeterinstitute.ca/mp3/23ac6f5d-f8e1-4739-927b-3d8f3029b126.mp3 Science http://streamer.perimeterinstitute.ca/mp3/23ac6f5d-f8e1-4739-927b-3d8f3029b126.mp3 Mon, 29 Sep 2008 14:00:00 -0400 A Candidate of a Psi-Epistemic Theory In deBroglie-Bohm theory the quantum state plays the role of a guiding agent. In this seminar we will explore whether this is a universal feature shared by all hidden variable theories, or merely a peculiarity of the deBroglie-Bohm theory. We present the bare bones of a theory in which the quantum state represents a probability distribution and does not act as a guiding agent. The theory is also psi-epistemic according to Spekken's and Harrigan's definition. For simplicity we develop the model for a 1D discrete lattice but the generalization to higher dimensions is straightforward. The ontic state consists of a definite particle position and in addition possible non-local links between spatially separated lattice points. These non-local links comes in two types: directed links and non-directed links. Quantum superposition manifests itself through these links. Interestingly, this ontology seems to be the simplest possible and immediately suggested by the structure of quantum theory itself. For N lattice points there are N*3^(N(N-1)) ontic states growing exponentially with the Hilbert space dimension N as expected. We further require that the evolution of the probability distribution on the ontic state space is dictated by a master equation with non-negative transition rates. It is then easy to show that one can reproduce the Schroedinger equation if an only if there are positive solutions to a gigantic system of linear equations. This is a highly non-trivial problem and whether there exists such positive solutions or not is not clear at the moment. We end by speculating how one might incorporate gravity into this theory by requiring permutation invariance of the dynamical evolution law. Hans Westman http://streamer.perimeterinstitute.ca/mp3/2242dc2b-4930-4b5b-9311-9357c37e138e.mp3 Science http://streamer.perimeterinstitute.ca/mp3/2242dc2b-4930-4b5b-9311-9357c37e138e.mp3 Mon, 29 Sep 2008 14:30:00 -0400 Decoherence and the (non)emergence of classicality. It is widely believed that the dynamical mechanism of decoherence plays a key role in understanding the emergence of classicality from quantum systems, via the environment-induced superselection of a preferred set of subsystem states, the density matrices for which are approximately diagonal in the pointer basis. In this talk, I prove that the vast majority of subsystems do *not* exhibit this behavior, regardless of the Hamiltonian. This shows that the emergence of classicality is highly state-dependent (as suggested by related work of Hartle and others). Steve Weinstein http://streamer.perimeterinstitute.ca/mp3/9e656452-18ca-4276-90e2-e21659d5359d.mp3 Science http://streamer.perimeterinstitute.ca/mp3/9e656452-18ca-4276-90e2-e21659d5359d.mp3 Mon, 29 Sep 2008 15:00:00 -0400 Quantum reference frames and relationalism in quantum theory A reference frame can be treated as a physical quantum object internal to the theory. Quantum reference frames whose size, and therefore accuracy, are bounded in some way necessarily limit one's ability to prepare states and to perform quantum operations and measurements on a system. The nature of these limitations is similar in many ways to that of decoherence. We investigate how a quantum reference frame of bounded size can be 'dequantized', i.e., treated as external to the quantum formalism, in such a way as to induce an effective decoherence on any system described relative to it. In particular, we show that this decoherence has an interpretation as a lack of classical information about an ideal (infinite size) reference frame. Stephen Bartlett http://streamer.perimeterinstitute.ca/mp3/c40de2ec-2c5d-43f1-810c-7f7761bb6066.mp3 Science http://streamer.perimeterinstitute.ca/mp3/c40de2ec-2c5d-43f1-810c-7f7761bb6066.mp3 Mon, 29 Sep 2008 16:00:00 -0400 From Information Geometry to Quantum Theory The unparalleled empirical success of quantum theory strongly suggests that it accurately captures fundamental aspects of the workings of the physical world. The clear articulation of these aspects is of inestimable value --- not only for the deeper understanding of quantum theory in itself, but for its further development, particularly for the development of a theory of quantum gravity. However, such articulation has traditionally been hampered by the fact that the quantum formalism consists of postulates expressed in an abstract mathematical language to whose elementary objects (complex vectors and operators) our physical intuition cannot directly relate. Recently, there has been growing interest in elucidating these aspects by expressing, in a less abstract mathematical language, what we think quantum theory might be telling us about how nature works, and trying to derive, or reconstruct, quantum theory from these postulates. In this talk, I describe a very simple reconstruction of the finite- dimensional quantum formalism. The derivation takes places with a classical probabilistic framework equipped with the information (or Fisher-Rao) metric, and rests upon a small number of elementary ideas (such as complementarity and global gauge invariance). The complex structure of quantum formalism arises very naturally. The derivation provides a number of non-trivial insights into the quantum formalism, such as the extensive nature of the role of information geometry in determining the quantum formalism, and the importance (or lack thereof) of assumptions concerning separated systems. Philip Goyal http://streamer.perimeterinstitute.ca/mp3/05ef21be-2707-43ba-8522-b8cb20a76716.mp3 Science http://streamer.perimeterinstitute.ca/mp3/05ef21be-2707-43ba-8522-b8cb20a76716.mp3 Mon, 29 Sep 2008 16:30:00 -0400 Origin of the anthropocentric flow of time? The underlying motivation for rejecting Everett's many-worlds interpretation of quantum mechanics and instead exploring single-world interpretations is to make physical theory concordant with human experience. From this perspective, the wave function collapse and Bohm-de Broglie interpretations are anthropocentric in origin. But this does not lessen their importance. Indeed accounting for our human experience of the physical world is a key element of any physical theory. This is no less true for the theory of time where accounting for the anthropocentric notion of a unidirectional flow of time is a challenge. In this talk we examine a peculiar time asymmetry that may shed some light on this problem.The matter-antimatter arrow of time, which is associated with the weak force in neutral Kaon decay, has been an enigma for 40 years. While other arrows (cosmological, electromagnetic, thermodynamic and psychological) have been linked together, the matter-antimatter arrow stands alone. It is often regarded as having a negligible effect on time in our daily lives. The main reason for this view appears to be the relatively small violation of the Charge-Parity conjugation invariance (CP) involved. However the smallness of the violation is not necessarily an obstacle to the manifestation of macroscopic effects. For example, a small difference in a quantum-state fidelity for a single particle leads to a difference which grows exponentially with the number of particles. So provided sufficient numbers of particles are involved such a violation could yield significant effects.We examine the effect of the violation of CP invariance on the dynamics of a large system such as the universe. Provided the CPT theorem holds, the CP violation is equivalent to a violation of time reversal invariance (T). We impose the constraint that the violation should equivalent in both directions of time (past and future) with respect to the present. This implies that if H is the Hamiltonian for one direction of time, then THT the Hamiltonian for the opposite direction. We will see that any given quantum state a> that represents the present of our part of the universe is closer to its evolved state a+> in the future compared to its retro evolved state a-> in the past. In other words, our present state is more likely to be extended (slightly) into the future than the past. We will see that the end result is a never-ending extension of the present into the future. Moreover for a collection of a million neutral kaons, the fidelity between the present state and a slightly future-evolved state is a billion times larger than the fidelity between the present and an equivalent retro-evolved state. In this context, the seemingly insignificant kaons appear to be responsible for our anthropocentric view of moving through time. Joan Vaccaro http://streamer.perimeterinstitute.ca/mp3/3f06af06-4472-4fbe-9c18-b46a93d3a16f.mp3 Science http://streamer.perimeterinstitute.ca/mp3/3f06af06-4472-4fbe-9c18-b46a93d3a16f.mp3 Mon, 29 Sep 2008 17:00:00 -0400 Clocks at the Big Bang? Quantum gravity is not what you think! It has been a common viewpoint that the process of quantization ought to replace the singularities of classical general relativity by some chaotic-looking structure at the scale of the Planck length. In this talk I shall argue that whereas this is to be expected at black-hole singularities, Nature's true picture of what goes on at the Big Bang is very different, where clocks cannot exist and the conformal geometry is completely smooth. Roger Penrose http://streamer.perimeterinstitute.ca/mp3/e73f5aa8-6d90-4212-8c87-121aad270ecb.mp3 Science http://streamer.perimeterinstitute.ca/mp3/e73f5aa8-6d90-4212-8c87-121aad270ecb.mp3 Tue, 30 Sep 2008 09:00:00 -0400 Relativistic Quantum State Evolution: Narratability and Relativity In this talk I will discuss a feature of quantum state evolution in a relativistic spacetime, the feature that David Albert has recently dubbed 'non-narratability.' This is: a complete state history given along one foliation does not always, by itself (that is, without specification of the dynamics of the system), determine the history along another foliation. The question arises: is this a deep distinction between quantum and classical state evolution, that deserves our fuller attention? I will discuss some results relevant to this question. Wayne Myrvold http://streamer.perimeterinstitute.ca/mp3/b7ffe092-ebfa-4b8f-97d8-5c187c7c8ff8.mp3 Science http://streamer.perimeterinstitute.ca/mp3/b7ffe092-ebfa-4b8f-97d8-5c187c7c8ff8.mp3 Tue, 30 Sep 2008 10:00:00 -0400 On the time-energy uncertainty relation In contrast to Heisenberg's position-momentum uncertainty relation, the status of the time-energy uncertainty relation has always remained dubious, For example, it is often said that 'time' in quantum theory is not an observable and not represented by a self-adjoint operator. I will review the background of the problem and propose a view on the uncertainty relations in which the cases of position-momentum and time-energy can be treated in the same way. Jos Uffink http://streamer.perimeterinstitute.ca/mp3/70cb0b40-6a44-4223-bfde-9893c219f3a2.mp3 Science http://streamer.perimeterinstitute.ca/mp3/70cb0b40-6a44-4223-bfde-9893c219f3a2.mp3 Tue, 30 Sep 2008 11:45:00 -0400 Does a Computer have an Arrow of Time? It has sometimes - though usually informally - been suggested that the psychological arrow can be reduced to the thermodynamic arrow through information processing properties of the brain. In this talk we demonstrate that this particular suggestion cannot succeed, as, insofar as information processing (at least in the sense of a classical computer) has an arrow of time, it is not governed by the thermodynamic arrow. Owen Maroney http://streamer.perimeterinstitute.ca/mp3/3c48806b-79d3-44ba-aba2-84b44cf1047f.mp3 Science http://streamer.perimeterinstitute.ca/mp3/3c48806b-79d3-44ba-aba2-84b44cf1047f.mp3 Tue, 30 Sep 2008 14:00:00 -0400 The three - slit experiment In reference [1] R. D. Sorkin investigated a formulation of quantum mechanics as a generalized measure theory. Quantum mechanics computes probabilities from the absolute squares of complex amplitudes, and the resulting interference violates the (Kolmogorov) sum rule expressing the additivity of probabilities of mutually exclusive events.However, there is a higher order sum rule that quantum mechanics does obey, involving the probabilities of three mutually exclusive possibilities. We could imagine a yet more general theory by assuming that itviolates the next higher sum rule.An experiment is in progress in our laboratory which sets out to test the validity of this second sum rule by measuring the interference patterns produced by three slits and all the possible combinations of those slits being open or closed. We use either attenuated laser light or a heralded single photon source (using parametric down conversion) combined with single photon counting to confirm the single photon character of the measured light. We will show results that bound the possible violation of the second sum rule and will point out ways toobtain a tighter experimental bound.[1] R. D. Sorkin, Quantum Mechanics as Quantum Measure Theory,Mod. Phys. Lett. A 9, 3119 (1994). Urbasi Sinha http://streamer.perimeterinstitute.ca/mp3/366ce8ad-908b-4a2e-9909-33d12070d25d.mp3 Science http://streamer.perimeterinstitute.ca/mp3/366ce8ad-908b-4a2e-9909-33d12070d25d.mp3 Tue, 30 Sep 2008 14:30:00 -0400 Time-Energy Uncertainty and short-time Nonequilirium Thermodynamics As is well known, time-energy uncertainty generically manifests itself in the short time behavior of a system weakly coupled to a bath, in the energy non-conservation of the interaction term (H_I does not commute with H_0). Similarly, the monotonic evolution of the system density operator to its equilibrium value which is a universal property of quantum dynamical semigroups (Spohn's theorem), e.g., systems with Lindbladian evolution, is in general violated at short (non-Markovian) timescales. For example, frequent, brief non-demolition measurements of the energy states of a two level system (TLS) coupled to a bath, disturbs the thermal equilibrium between them, despite leaving the system and bath states separately unperturbed. For sufficiently short intervals between measurements (Zeno regime) the system and bath heat up immediately following the measurement. It is also possible to have net cooling in an intermediate (anti-Zeno-like) regime. The evolution of the system state away from its equilibrium value, not only violates the Markovian-dynamics version of the 2nd law (Spohn's theorem), but also Lindblad's theorem on which it rests, which is valid for any evolution described by a completely positive map. This does not imply that the evolution is not completely-positive, but rather that it is not a well-defined map at allthe evolution of the state of the system is not determined by this state alone (nor even together with the reduced state of the bath), but rather by the full joint system-bath state (this indeterminacy was shown previously, by Buzek et al., for special cleverly constructed joint states). Ref: N. Erez, G. Gordon, M. Nest & G. Kurizki, Nature 452, 724 (2008) Noam Erez http://streamer.perimeterinstitute.ca/mp3/65f09efb-2c2f-40b9-804a-74f56d7d9637.mp3 Science http://streamer.perimeterinstitute.ca/mp3/65f09efb-2c2f-40b9-804a-74f56d7d9637.mp3 Tue, 30 Sep 2008 15:00:00 -0400 Chance and Romance: a marriage of classical and quantum probability I'll sketch of a proposal for unifying classical and quantum probability, arguing first for the need to recognize a measure over phase space as a component of classical theories (indeed, of any theory satisfying certain constraints and capable of generating predictions for open systems) and then showing how to use that measure to define objective chances. Time permitting, I'll briefly address questions about the nature and interpretation of the measure. Jenann Ismael http://streamer.perimeterinstitute.ca/mp3/172daa80-973f-4144-87a2-ba6996004083.mp3 Science http://streamer.perimeterinstitute.ca/mp3/172daa80-973f-4144-87a2-ba6996004083.mp3 Tue, 30 Sep 2008 16:00:00 -0400 Newcomb's problem and Bell's theorem In recent years there has been a growing awareness that studies on quantum foundations have close relationships with other fields such as probability and information theory. In this talk I give another example of how such interdisciplinary work can be fruitful, by applying some of the lessons from quantum mechanics, in particular from Bell's theorem, to a debate on the philosophical foundations of decision theory. I argue that the basic assumptions of the popular causal decision theory -- which was developed partly in response to a puzzle proposed by the physicist William Newcomb and published by the philosopher Robert Nozick -- are analogous to the basic assumptions of a local hidden-variables theory in the context of Bell's theorem. Both have too strong a prejudice about the causal structure of the world: there are possible games the world can pose such that an agent who operates by those theories is constrained to choose losing strategies no matter what evidence he or she acquires. Eric Cavalcanti http://streamer.perimeterinstitute.ca/mp3/da097721-fa86-4d26-80c7-328ee2022635.mp3 Science http://streamer.perimeterinstitute.ca/mp3/da097721-fa86-4d26-80c7-328ee2022635.mp3 Tue, 30 Sep 2008 16:30:00 -0400 Toy Models for Retrocausality Huw Price http://streamer.perimeterinstitute.ca/mp3/ad82e579-14d2-4f18-b470-7992b43bacdb.mp3 Science http://streamer.perimeterinstitute.ca/mp3/ad82e579-14d2-4f18-b470-7992b43bacdb.mp3 Wed, 01 Oct 2008 09:00:00 -0400 Causality and Information Flow in Quantum Protocols In recent work with Bob Coecke and others, we have developed a categorical axiomatization of quantum mechanics. This analyzes the main structural features of quantum mechanics into simple and general elements, which admit an elegant diagrammatic representation. This enables an illuminating and effective analysis of quantum information protocols and computational structures. One aspect which is brought to light in this analysis is that protocols such as teleportation use entanglement to achieve a logical information flow which has an apparent retro-causal (or even `backward-in-time') component. However, there is also a physical or operational description of the same systems, based on an abstract structural characterization of quantum measurements, which is entirely causally consistent. The systematic relationship between these two descriptions suggests a novel perspective on the flow of time and information in the quantum realm. Samson Abramsky http://streamer.perimeterinstitute.ca/mp3/caf94859-5af2-48a5-b565-35bb7163a7aa.mp3 Science http://streamer.perimeterinstitute.ca/mp3/caf94859-5af2-48a5-b565-35bb7163a7aa.mp3 Wed, 01 Oct 2008 10:00:00 -0400 Time and the big bang The evidence for the big bang is now overwhelming. However, the basic question of what caused the bang remains open. One possibility is that time somehow 'emerged,' placing the universe in an inflationary state. Another, perhaps more conservative possibility, is that the big bang was a violent event in a pre-existing universe. I will describe model calculations employing the AdS/CFT correspondence which show how this is possible, and which point to a new explanation for the origin of large scale structure in the universe. Neil Turok http://streamer.perimeterinstitute.ca/mp3/2d0e1a56-b9eb-40d3-9b6c-9797b557dd37.mp3 Science http://streamer.perimeterinstitute.ca/mp3/2d0e1a56-b9eb-40d3-9b6c-9797b557dd37.mp3 Wed, 01 Oct 2008 11:45:00 -0400 Solved and unsolved problems of time in quantum gravity I will identify six 'problems of time' that arise in connection with quantum gravity and review the extent to which some of them can be regarded as solved, highlighting the very different aspects that they assume depending on one's starting point: Hamiltonian vs. path-integral, discrete vs continuous. Rafael Sorkin http://streamer.perimeterinstitute.ca/mp3/d3124603-b5e2-4189-9c36-c99a36de3b43.mp3 Science http://streamer.perimeterinstitute.ca/mp3/d3124603-b5e2-4189-9c36-c99a36de3b43.mp3 Thu, 02 Oct 2008 09:00:00 -0400 Theory Confirmation in One World and its Failure in Many I discuss how we can give a satisfactory account of theory confirmation for theories with random data, such as Copenhagen quantum theory, despite the lack of a completely satisfactory definition of probabilistic theories of nature. I also explain why neither this nor any other proposed account of scientific confirmation works for many-worlds theories Adrian Kent http://streamer.perimeterinstitute.ca/mp3/06f80085-d744-45d9-b949-8776b62a468f.mp3 Science http://streamer.perimeterinstitute.ca/mp3/06f80085-d744-45d9-b949-8776b62a468f.mp3 Thu, 02 Oct 2008 10:00:00 -0400 On the reality of time and the evolution of laws There are a number of arguments in the philosophical, physical and cosmological literatures for the thesis that time is not fundamental to the description of nature. According to this view, time should be only an approximate notion which emerges from a more fundamental, timeless description only in certain limiting approximations. My first task is to review these arguments and explain why they fail. I will then examine the opposite view, which is that time and change are fundamental and, indeed, are perhaps the only aspects of reality that are not emergent from a more fundamental, microscopic description. The argument involves several aspects of contemporary physics and cosmology including 1) the problem of the landscape of string theory, 2) cosmological inflation and the problem of initial conditions, 3) the interpretation of the “wavefunction of the universe,” and the problem of what is an observable in classical and quantum general relativity. It also involves issues in the foundations of mathematics and the issue of the proper understanding of the role of mathematics in physics. The view that time is real and not emergent is, I will argue, supported by considerations arising from all these issues It leads finally to a need for a notion of law in cosmology which replaces the freedom to choose initial conditions with a notion of laws evolving in time. The arguments presented here have been developed in collaboration with Roberto Mangabeira Unger . Lee Smolin http://streamer.perimeterinstitute.ca/mp3/9218e873-97d5-42ba-b1c7-70e498081c43.mp3 Science http://streamer.perimeterinstitute.ca/mp3/9218e873-97d5-42ba-b1c7-70e498081c43.mp3 Thu, 02 Oct 2008 11:45:00 -0400 Panel Discussion 1 Julian Barbour Huw Price Lee Smolin Roderich Tumulka William Unruh Christopher Fuchs http://streamer.perimeterinstitute.ca/mp3/65bf8e33-cad5-4451-9aaa-f5edff17b4e2.mp3 Science http://streamer.perimeterinstitute.ca/mp3/65bf8e33-cad5-4451-9aaa-f5edff17b4e2.mp3 Thu, 02 Oct 2008 14:00:00 -0400 Panel Discussion 2 (Samson Abramsky) Adrian Kent Wayne Myrvold Jos Uffink Lev Vaidman Christopher Fuchs http://streamer.perimeterinstitute.ca/mp3/c5ffa871-0e47-4c92-8259-dc9fcb91f7f0.mp3 Science http://streamer.perimeterinstitute.ca/mp3/c5ffa871-0e47-4c92-8259-dc9fcb91f7f0.mp3 Thu, 02 Oct 2008 15:15:00 -0400