Multiverse Discourse As a Scene of Response
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Anthropic Measure of Hominid (And Other) Terrestrials. Brandon Carter Luth, Observatoire De Paris-Meudon
Anthropic measure of hominid (and other) terrestrials. Brandon Carter LuTh, Observatoire de Paris-Meudon. Provisional draft, April 2011. Abstract. According to the (weak) anthropic principle, the a priori proba- bility per unit time of finding oneself to be a member of a particular popu- lation is proportional to the number of individuals in that population, mul- tiplied by an anthropic quotient that is normalised to unity in the ordinary (average adult) human case. This quotient might exceed unity for conceiv- able superhuman extraterrestrials, but it should presumably be smaller for our terrestrial anthropoid relations, such as chimpanzees now and our pre- Neanderthal ancestors in the past. The (ethically relevant) question of how much smaller can be addressed by invoking the anthropic finitude argument, using Bayesian reasonning, whereby it is implausible a posteriori that the total anthropic measure should greatly exceed the measure of the privileged subset to which we happen to belong, as members of a global civilisation that has (recently) entered a climactic phase with a timescale of demographic expansion and technical development short compared with a breeding gen- eration. As well as “economist’s dream” scenarios with continual growth, this finitude argument also excludes “ecologist’s dream” scenarios with long term stabilisation at some permanently sustainable level, but it it does not imply the inevitability of a sudden “doomsday” cut-off. A less catastrophic likelihood is for the population to decline gradually, after passing smoothly through a peak value that is accounted for here as roughly the information content ≈ 1010 of our genome. The finitude requirement limits not just the future but also the past, of which the most recent phase – characterised by memetic rather than genetic evolution – obeyed the Foerster law of hyperbolic population growth. -
String Theory. Volume 1, Introduction to the Bosonic String
This page intentionally left blank String Theory, An Introduction to the Bosonic String The two volumes that comprise String Theory provide an up-to-date, comprehensive, and pedagogic introduction to string theory. Volume I, An Introduction to the Bosonic String, provides a thorough introduction to the bosonic string, based on the Polyakov path integral and conformal field theory. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree-level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of the finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is also included. Volume II, Superstring Theory and Beyond, begins with an introduction to supersym- metric string theories and goes on to a broad presentation of the important advances of recent years. The first three chapters introduce the type I, type II, and heterotic superstring theories and their interactions. The next two chapters present important recent discoveries about strongly coupled strings, beginning with a detailed treatment of D-branes and their dynamics, and covering string duality, M-theory, and black hole entropy. A following chapter collects many classic results in conformal field theory. The final four chapters are concerned with four-dimensional string theories, and have two goals: to show how some of the simplest string models connect with previous ideas for unifying the Standard Model; and to collect many important and beautiful general results on world-sheet and spacetime symmetries. -
Symmetries of String Theory and Early Universe Cosmology
String Cosmology R. Branden- berger Introduction Symmetries of String Theory and Early T-Duality: Key Symmetry of Universe Cosmology String Theory String Gas Cosmology Structure Robert Brandenberger Perturbations Overview Physics Department, McGill University Analysis DFT Conclusions Yukawa Institute, Kyoto University, Feb. 26, 2018 1 / 61 Outline String Cosmology 1 Introduction R. Branden- berger 2 T-Duality: Key Symmetry of String Theory Introduction T-Duality: Key 3 String Gas Cosmology Symmetry of String Theory String Gas 4 String Gas Cosmology and Structure Formation Cosmology Review of the Theory of Cosmological Perturbations Structure Perturbations Overview Overview Analysis Analysis DFT 5 Double Field Theory as a Background for String Gas Conclusions Cosmology 6 Conclusions 2 / 61 Plan String Cosmology 1 Introduction R. Branden- berger 2 T-Duality: Key Symmetry of String Theory Introduction T-Duality: Key 3 String Gas Cosmology Symmetry of String Theory String Gas 4 String Gas Cosmology and Structure Formation Cosmology Review of the Theory of Cosmological Perturbations Structure Perturbations Overview Overview Analysis Analysis DFT 5 Double Field Theory as a Background for String Gas Conclusions Cosmology 6 Conclusions 3 / 61 Inflation: the Standard Model of Early Universe Cosmology String Cosmology R. Branden- berger Introduction Inflation is the standard paradigm of early universe T-Duality: Key cosmology. Symmetry of String Theory Inflation solves conceptual problems of Standard Big String Gas Bang Cosmology. Cosmology Structure Inflation predicts an almost scale-invariant spectrum of Perturbations Overview primordial cosmological perturbations with a small red Analysis tilt (Chibisov & Mukhanov, 1981). DFT Conclusions Fluctuations are nearly Gaussian and nearly adiabatic. 4 / 61 Map of the Cosmic Microwave Background (CMB) String Cosmology R. -
And Abiogenesis
Historical Development of the Distinction between Bio- and Abiogenesis. Robert B. Sheldon NASA/MSFC/NSSTC, 320 Sparkman Dr, Huntsville, AL, USA ABSTRACT Early greek philosophers laid the philosophical foundations of the distinction between bio and abiogenesis, when they debated organic and non-organic explanations for natural phenomena. Plato and Aristotle gave organic, or purpose-driven explanations for physical phenomena, whereas the materialist school of Democritus and Epicurus gave non-organic, or materialist explanations. These competing schools have alternated in popularity through history, with the present era dominated by epicurean schools of thought. Present controversies concerning evidence for exobiology and biogenesis have many aspects which reflect this millennial debate. Therefore this paper traces a selected history of this debate with some modern, 20th century developments due to quantum mechanics. It ¯nishes with an application of quantum information theory to several exobiology debates. Keywords: Biogenesis, Abiogenesis, Aristotle, Epicurus, Materialism, Information Theory 1. INTRODUCTION & ANCIENT HISTORY 1.1. Plato and Aristotle Both Plato and Aristotle believed that purpose was an essential ingredient in any scienti¯c explanation, or teleology in philosophical nomenclature. Therefore all explanations, said Aristotle, answer four basic questions: what is it made of, what does it represent, who made it, and why was it made, which have the nomenclature material, formal, e±cient and ¯nal causes.1 This aristotelean framework shaped the terms of the scienti¯c enquiry, invisibly directing greek science for over 500 years. For example, \organic" or \¯nal" causes were often deemed su±cient to explain natural phenomena, so that a rock fell when released from rest because it \desired" its own kind, the earth, over unlike elements such as air, water or ¯re. -
THE ANTHROPIC PRINCIPLE - IS the UNIVERSE SPECIALLY DESIGNED to SUPPORT LIFE? by William Reville, University College, Cork
THE ANTHROPIC PRINCIPLE - IS THE UNIVERSE SPECIALLY DESIGNED TO SUPPORT LIFE? By William Reville, University College, Cork. Scientists are often impressed by how finely-tuned the world is for the existence of life. If any of a large number of fundamental physical properties of the world were slightly different, biological life would be impossible. The observation that we inhabit a world which is uniquely suited to us has led to the development of a scientific principle called the anthropic principle. This principle asserts that we see the universe the way it is because we exist. There are two forms of the anthropic principle, a weak form and a strong form. Most scientists find the weak anthrophic principle to be a useful methodological principle, but few scientists believe in the strong form of the principle. Others claim that the anthropic principle is not a scientific principle at all, but is just an irritating tautology. The principle is lucidly described in Theories of Everything by J.D. Barrow (Clarendon Press, 1991). The weak anthropic principle recognises that the fact of human existence requires certain conditions to be met regarding the past and the present structure of the universe. In other words, the conditions we observe in the universe must be such that allowed carbon-based observers like ourselves to arise and evolve within a certain time-frame. This time-frame must reside in a window of opportunity bounded at the late end by the death of the sun and, at the early end, by the requirement that the elements that compose our bodies must be present. -
Stephen Hawking: 'There Are No Black Holes' Notion of an 'Event Horizon', from Which Nothing Can Escape, Is Incompatible with Quantum Theory, Physicist Claims
NATURE | NEWS Stephen Hawking: 'There are no black holes' Notion of an 'event horizon', from which nothing can escape, is incompatible with quantum theory, physicist claims. Zeeya Merali 24 January 2014 Artist's impression VICTOR HABBICK VISIONS/SPL/Getty The defining characteristic of a black hole may have to give, if the two pillars of modern physics — general relativity and quantum theory — are both correct. Most physicists foolhardy enough to write a paper claiming that “there are no black holes” — at least not in the sense we usually imagine — would probably be dismissed as cranks. But when the call to redefine these cosmic crunchers comes from Stephen Hawking, it’s worth taking notice. In a paper posted online, the physicist, based at the University of Cambridge, UK, and one of the creators of modern black-hole theory, does away with the notion of an event horizon, the invisible boundary thought to shroud every black hole, beyond which nothing, not even light, can escape. In its stead, Hawking’s radical proposal is a much more benign “apparent horizon”, “There is no escape from which only temporarily holds matter and energy prisoner before eventually a black hole in classical releasing them, albeit in a more garbled form. theory, but quantum theory enables energy “There is no escape from a black hole in classical theory,” Hawking told Nature. Peter van den Berg/Photoshot and information to Quantum theory, however, “enables energy and information to escape from a escape.” black hole”. A full explanation of the process, the physicist admits, would require a theory that successfully merges gravity with the other fundamental forces of nature. -
Inflation, Large Branes, and the Shape of Space
Inflation, Large Branes, and the Shape of Space Brett McInnes National University of Singapore email: [email protected] ABSTRACT Linde has recently argued that compact flat or negatively curved spatial sections should, in many circumstances, be considered typical in Inflationary cosmologies. We suggest that the “large brane instability” of Seiberg and Witten eliminates the negative candidates in the context of string theory. That leaves the flat, compact, three-dimensional manifolds — Conway’s platycosms. We show that deep theorems of Schoen, Yau, Gromov and Lawson imply that, even in this case, Seiberg-Witten instability can be avoided only with difficulty. Using a specific cosmological model of the Maldacena-Maoz type, we explain how to do this, and we also show how the list of platycosmic candidates can be reduced to three. This leads to an extension of the basic idea: the conformal compactification of the entire Euclidean spacetime also has the topology of a flat, compact, four-dimensional space. arXiv:hep-th/0410115v2 19 Oct 2004 1. Nearly Flat or Really Flat? Linde has recently argued [1] that, at least in some circumstances, we should regard cosmological models with flat or negatively curved compact spatial sections as the norm from an Inflationary point of view. Here we wish to argue that cosmic holography, in the novel form proposed by Maldacena and Maoz [2], gives a deep new interpretation of this idea, and also sharpens it very considerably to exclude the negative case. This focuses our attention on cosmological models with flat, compact spatial sections. Current observations [3] show that the spatial sections of our Universe [as defined by observers for whom local isotropy obtains] are fairly close to being flat: the total density parameter Ω satisfies Ω = 1.02 0.02 at 95% confidence level, if we allow the imposition ± of a reasonable prior [4] on the Hubble parameter. -
Fine-Tuning, Complexity, and Life in the Multiverse*
Fine-Tuning, Complexity, and Life in the Multiverse* Mario Livio Dept. of Physics and Astronomy, University of Nevada, Las Vegas, NV 89154, USA E-mail: [email protected] and Martin J. Rees Institute of Astronomy, University of Cambridge, Cambridge CB3 0HA, UK E-mail: [email protected] Abstract The physical processes that determine the properties of our everyday world, and of the wider cosmos, are determined by some key numbers: the ‘constants’ of micro-physics and the parameters that describe the expanding universe in which we have emerged. We identify various steps in the emergence of stars, planets and life that are dependent on these fundamental numbers, and explore how these steps might have been changed — or completely prevented — if the numbers were different. We then outline some cosmological models where physical reality is vastly more extensive than the ‘universe’ that astronomers observe (perhaps even involving many ‘big bangs’) — which could perhaps encompass domains governed by different physics. Although the concept of a multiverse is still speculative, we argue that attempts to determine whether it exists constitute a genuinely scientific endeavor. If we indeed inhabit a multiverse, then we may have to accept that there can be no explanation other than anthropic reasoning for some features our world. _______________________ *Chapter for the book Consolidation of Fine Tuning 1 Introduction At their fundamental level, phenomena in our universe can be described by certain laws—the so-called “laws of nature” — and by the values of some three dozen parameters (e.g., [1]). Those parameters specify such physical quantities as the coupling constants of the weak and strong interactions in the Standard Model of particle physics, and the dark energy density, the baryon mass per photon, and the spatial curvature in cosmology. -
Eternal Inflation and Its Implications
IOP PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL J. Phys. A: Math. Theor. 40 (2007) 6811–6826 doi:10.1088/1751-8113/40/25/S25 Eternal inflation and its implications Alan H Guth Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA E-mail: [email protected] Received 8 February 2006 Published 6 June 2007 Online at stacks.iop.org/JPhysA/40/6811 Abstract Isummarizetheargumentsthatstronglysuggestthatouruniverseisthe product of inflation. The mechanisms that lead to eternal inflation in both new and chaotic models are described. Although the infinity of pocket universes produced by eternal inflation are unobservable, it is argued that eternal inflation has real consequences in terms of the way that predictions are extracted from theoretical models. The ambiguities in defining probabilities in eternally inflating spacetimes are reviewed, with emphasis on the youngness paradox that results from a synchronous gauge regularization technique. Although inflation is generically eternal into the future, it is not eternal into the past: it can be proven under reasonable assumptions that the inflating region must be incomplete in past directions, so some physics other than inflation is needed to describe the past boundary of the inflating region. PACS numbers: 98.80.cQ, 98.80.Bp, 98.80.Es 1. Introduction: the successes of inflation Since the proposal of the inflationary model some 25 years ago [1–4], inflation has been remarkably successful in explaining many important qualitative and quantitative properties of the universe. In this paper, I will summarize the key successes, and then discuss a number of issues associated with the eternal nature of inflation. -
Editorial Note To: Brandon Carter, Large Number Coincidences and the Anthropic Principle in Cosmology
Gen Relativ Gravit (2011) 43:3213–3223 DOI 10.1007/s10714-011-1257-8 GOLDEN OLDIE EDITORIAL Editorial note to: Brandon Carter, Large number coincidences and the anthropic principle in cosmology George F. R. Ellis Published online: 27 September 2011 © Springer Science+Business Media, LLC 2011 Keywords Cosmology · Confrontation of cosmological theories with observational data · Anthropic principle · World ensemble · Golden Oldie Editorial The anthropic principle is one of the most controversial proposals in cosmology. It relates to why the universe is of such a nature as to allow the existence of life. This inevitably engages with the foundations of cosmology, and has philosophical as well as technical aspects. The literature on the topic is vast—the Carter paper reprinted here [10] has 226 listed citations, and the Barrow and Tipler book [3] has 1,740. Obviously I can only pick up on a few of these papers in this brief review of the impact of the paper. While there were numerous previous philosophical treatises on the topic, stretching back to speculations about the origin of the universe in ancient times (see [3]fora magisterial survey), scientific studies are more recent. A well known early one was by biologist Alfred Russell Wallace, who wrote in 1904: “Such a vast and complex uni- verse as that which we know exists around us, may have been absolutely required … in order to produce a world that should be precisely adapted in every detail for the orderly development of life culminating in man” [50]. But that was before modern cosmology was established: the idea of the expanding and evolving universe was yet to come. -
String-Inspired Running Vacuum—The ``Vacuumon''—And the Swampland Criteria
universe Article String-Inspired Running Vacuum—The “Vacuumon”—And the Swampland Criteria Nick E. Mavromatos 1 , Joan Solà Peracaula 2,* and Spyros Basilakos 3,4 1 Theoretical Particle Physics and Cosmology Group, Physics Department, King’s College London, Strand, London WC2R 2LS, UK; [email protected] 2 Departament de Física Quàntica i Astrofísica, and Institute of Cosmos Sciences (ICCUB), Universitat de Barcelona, Av. Diagonal 647, E-08028 Barcelona, Catalonia, Spain 3 Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efessiou 4, 11527 Athens, Greece; [email protected] 4 National Observatory of Athens, Lofos Nymfon, 11852 Athens, Greece * Correspondence: [email protected] Received: 15 October 2020; Accepted: 17 November 2020; Published: 20 November 2020 Abstract: We elaborate further on the compatibility of the “vacuumon potential” that characterises the inflationary phase of the running vacuum model (RVM) with the swampland criteria. The work is motivated by the fact that, as demonstrated recently by the authors, the RVM framework can be derived as an effective gravitational field theory stemming from underlying microscopic (critical) string theory models with gravitational anomalies, involving condensation of primordial gravitational waves. Although believed to be a classical scalar field description, not representing a fully fledged quantum field, we show here that the vacuumon potential satisfies certain swampland criteria for the relevant regime of parameters and field range. We link the criteria to the Gibbons–Hawking entropy that has been argued to characterise the RVM during the de Sitter phase. These results imply that the vacuumon may, after all, admit under certain conditions, a rôle as a quantum field during the inflationary (almost de Sitter) phase of the running vacuum. -
String Theory and Pre-Big Bang Cosmology
IL NUOVO CIMENTO 38 C (2015) 160 DOI 10.1393/ncc/i2015-15160-8 Colloquia: VILASIFEST String theory and pre-big bang cosmology M. Gasperini(1)andG. Veneziano(2) (1) Dipartimento di Fisica, Universit`a di Bari - Via G. Amendola 173, 70126 Bari, Italy and INFN, Sezione di Bari - Bari, Italy (2) CERN, Theory Unit, Physics Department - CH-1211 Geneva 23, Switzerland and Coll`ege de France - 11 Place M. Berthelot, 75005 Paris, France received 11 January 2016 Summary. — In string theory, the traditional picture of a Universe that emerges from the inflation of a very small and highly curved space-time patch is a possibility, not a necessity: quite different initial conditions are possible, and not necessarily unlikely. In particular, the duality symmetries of string theory suggest scenarios in which the Universe starts inflating from an initial state characterized by very small curvature and interactions. Such a state, being gravitationally unstable, will evolve towards higher curvature and coupling, until string-size effects and loop corrections make the Universe “bounce” into a standard, decreasing-curvature regime. In such a context, the hot big bang of conventional cosmology is replaced by a “hot big bounce” in which the bouncing and heating mechanisms originate from the quan- tum production of particles in the high-curvature, large-coupling pre-bounce phase. Here we briefly summarize the main features of this inflationary scenario, proposed a quarter century ago. In its simplest version (where it represents an alternative and not a complement to standard slow-roll inflation) it can produce a viable spectrum of density perturbations, together with a tensor component characterized by a “blue” spectral index with a peak in the GHz frequency range.