INFORMATION– CONSCIOUSNESS– REALITY How a New Understanding of the Universe Can Help Answer Age-Old Questions of Existence the FRONTIERS COLLECTION
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Relational Quantum Mechanics
Relational Quantum Mechanics Matteo Smerlak† September 17, 2006 †Ecole normale sup´erieure de Lyon, F-69364 Lyon, EU E-mail: [email protected] Abstract In this internship report, we present Carlo Rovelli’s relational interpretation of quantum mechanics, focusing on its historical and conceptual roots. A critical analysis of the Einstein-Podolsky-Rosen argument is then put forward, which suggests that the phenomenon of ‘quantum non-locality’ is an artifact of the orthodox interpretation, and not a physical effect. A speculative discussion of the potential import of the relational view for quantum-logic is finally proposed. Figure 0.1: Composition X, W. Kandinski (1939) 1 Acknowledgements Beyond its strictly scientific value, this Master 1 internship has been rich of encounters. Let me express hereupon my gratitude to the great people I have met. First, and foremost, I want to thank Carlo Rovelli1 for his warm welcome in Marseille, and for the unexpected trust he showed me during these six months. Thanks to his rare openness, I have had the opportunity to humbly but truly take part in active research and, what is more, to glimpse the vivid landscape of scientific creativity. One more thing: I have an immense respect for Carlo’s plainness, unaltered in spite of his renown achievements in physics. I am very grateful to Antony Valentini2, who invited me, together with Frank Hellmann, to the Perimeter Institute for Theoretical Physics, in Canada. We spent there an incredible week, meeting world-class physicists such as Lee Smolin, Jeffrey Bub or John Baez, and enthusiastic postdocs such as Etera Livine or Simone Speziale. -
Lectures on Quantum Field Theory
QUANTUM FIELD THEORY Notes taken from a course of R. E. Borcherds, Fall 2001, Berkeley Richard E. Borcherds, Mathematics department, Evans Hall, UC Berkeley, CA 94720, U.S.A. e–mail: [email protected] home page: www.math.berkeley.edu/~reb Alex Barnard, Mathematics department, Evans Hall, UC Berkeley, CA 94720, U.S.A. e–mail: [email protected] home page: www.math.berkeley.edu/~barnard Contents 1 Introduction 4 1.1 Life Cycle of a Theoretical Physicist . ....... 4 1.2 Historical Survey of the Standard Model . ....... 5 1.3 SomeProblemswithNeutrinos . ... 9 1.4 Elementary Particles in the Standard Model . ........ 10 2 Lagrangians 11 arXiv:math-ph/0204014v1 8 Apr 2002 2.1 WhatisaLagrangian?.............................. 11 2.2 Examples ...................................... 11 2.3 The General Euler–Lagrange Equation . ...... 13 3 Symmetries and Currents 14 3.1 ObviousSymmetries ............................... 14 3.2 Not–So–ObviousSymmetries . 16 3.3 TheElectromagneticField. 17 1 3.4 Converting Classical Field Theory to Homological Algebra........... 19 4 Feynman Path Integrals 21 4.1 Finite Dimensional Integrals . ...... 21 4.2 TheFreeFieldCase ................................ 22 4.3 Free Field Green’s Functions . 23 4.4 TheNon-FreeCase................................. 24 5 0-Dimensional QFT 25 5.1 BorelSummation.................................. 28 5.2 OtherGraphSums................................. 28 5.3 TheClassicalField............................... 29 5.4 TheEffectiveAction ............................... 31 6 Distributions and Propagators 35 6.1 EuclideanPropagators . 36 6.2 LorentzianPropagators . 38 6.3 Wavefronts and Distribution Products . ....... 40 7 Higher Dimensional QFT 44 7.1 AnExample..................................... 44 7.2 Renormalisation Prescriptions . ....... 45 7.3 FiniteRenormalisations . 47 7.4 A Group Structure on Finite Renormalisations . ........ 50 7.5 More Conditions on Renormalisation Prescriptions . -
Fcaglp, Unlp, 2018
Scientific Philosophy Gustavo E. Romero IAR-CONICET/UNLP, Argentina FCAGLP, UNLP, 2018 Epistemology Episteme, as distinguished from techne, is etymologically derived from the Ancient Greek word ἐπιστήμη for knowledge or science, which comes from the verb ἐπίσταμαι, "to know". In Plato's terminology episteme means knowledge, as in "justified true belief", in contrast to doxa, common belief or opinion. The word epistemology, meaning the study of knowledge, is derived from episteme. Plato Epistemology is the general study of cognitive processes and their outcome: knowledge. Knowledge is the product of cognitive operations made by an inquiring subject. It is not a thing or a substance, but a series of brain changes in the knower. Knowledge is not independent of the knowing subject, although we often feign it is for practical reasons. Knowledge is different from belief: I can know a story, for instance, but do not believe it. Belief implies a psychological adherence to some propositions. It is possible to believe something without understanding it, so belief is not necessary associated with neither truth nor justification. Knowledge acquisition requires a modification of the brain of the knower. This can be done in different ways, hence there are different kinds of knowledge. (i) Sensory-motor knowledge: the result of learning from actions. (ii) Perceptual knowledge: the result of perceiving events, either internal or external to the subject. (iii) Conceptual or propositional knowledge: the result of ideation, conjecturing, testing, correcting. Notice that not all knowledge is beneficial: we can learn trivialities, falsehoods, or highly harmful habits The three kind of knowledge are interrelated: conceptual knowledge can improve motor skills and perception; perception is used to evaluate conjectures; motor skills can help to improve perception and build instruments such as books, that enhance the ability to learn. -
The E.P.R. Paradox George Levesque
Undergraduate Review Volume 3 Article 20 2007 The E.P.R. Paradox George Levesque Follow this and additional works at: http://vc.bridgew.edu/undergrad_rev Part of the Quantum Physics Commons Recommended Citation Levesque, George (2007). The E.P.R. Paradox. Undergraduate Review, 3, 123-130. Available at: http://vc.bridgew.edu/undergrad_rev/vol3/iss1/20 This item is available as part of Virtual Commons, the open-access institutional repository of Bridgewater State University, Bridgewater, Massachusetts. Copyright © 2007 George Levesque The E.P.R. Paradox George Levesque George graduated from Bridgewater his paper intends to discuss the E.P.R. paradox and its implications State College with majors in Physics, for quantum mechanics. In order to do so, this paper will discuss the Mathematics, Criminal Justice, and features of intrinsic spin of a particle, the Stern-Gerlach experiment, Sociology. This piece is his Honors project the E.P.R. paradox itself and the views it portrays. In addition, we will for Electricity and Magnetism advised by consider where such a classical picture succeeds and, eventually, as we will see Dr. Edward Deveney. George ruminated Tin Bell’s inequality, fails in the strange world we live in – the world of quantum to help the reader formulate, and accept, mechanics. why quantum mechanics, though weird, is valid. Intrinsic Spin Intrinsic spin angular momentum is odd to describe by any normal terms. It is unlike, and often entirely unrelated to, the classical “orbital angular momentum.” But luckily we can describe the intrinsic spin by its relationship to the magnetic moment of the particle being considered. -
No. 40. the System of Lunar Craters, Quadrant Ii Alice P
NO. 40. THE SYSTEM OF LUNAR CRATERS, QUADRANT II by D. W. G. ARTHUR, ALICE P. AGNIERAY, RUTH A. HORVATH ,tl l C.A. WOOD AND C. R. CHAPMAN \_9 (_ /_) March 14, 1964 ABSTRACT The designation, diameter, position, central-peak information, and state of completeness arc listed for each discernible crater in the second lunar quadrant with a diameter exceeding 3.5 km. The catalog contains more than 2,000 items and is illustrated by a map in 11 sections. his Communication is the second part of The However, since we also have suppressed many Greek System of Lunar Craters, which is a catalog in letters used by these authorities, there was need for four parts of all craters recognizable with reasonable some care in the incorporation of new letters to certainty on photographs and having diameters avoid confusion. Accordingly, the Greek letters greater than 3.5 kilometers. Thus it is a continua- added by us are always different from those that tion of Comm. LPL No. 30 of September 1963. The have been suppressed. Observers who wish may use format is the same except for some minor changes the omitted symbols of Blagg and Miiller without to improve clarity and legibility. The information in fear of ambiguity. the text of Comm. LPL No. 30 therefore applies to The photographic coverage of the second quad- this Communication also. rant is by no means uniform in quality, and certain Some of the minor changes mentioned above phases are not well represented. Thus for small cra- have been introduced because of the particular ters in certain longitudes there are no good determi- nature of the second lunar quadrant, most of which nations of the diameters, and our values are little is covered by the dark areas Mare Imbrium and better than rough estimates. -
Glossary Glossary
Glossary Glossary Albedo A measure of an object’s reflectivity. A pure white reflecting surface has an albedo of 1.0 (100%). A pitch-black, nonreflecting surface has an albedo of 0.0. The Moon is a fairly dark object with a combined albedo of 0.07 (reflecting 7% of the sunlight that falls upon it). The albedo range of the lunar maria is between 0.05 and 0.08. The brighter highlands have an albedo range from 0.09 to 0.15. Anorthosite Rocks rich in the mineral feldspar, making up much of the Moon’s bright highland regions. Aperture The diameter of a telescope’s objective lens or primary mirror. Apogee The point in the Moon’s orbit where it is furthest from the Earth. At apogee, the Moon can reach a maximum distance of 406,700 km from the Earth. Apollo The manned lunar program of the United States. Between July 1969 and December 1972, six Apollo missions landed on the Moon, allowing a total of 12 astronauts to explore its surface. Asteroid A minor planet. A large solid body of rock in orbit around the Sun. Banded crater A crater that displays dusky linear tracts on its inner walls and/or floor. 250 Basalt A dark, fine-grained volcanic rock, low in silicon, with a low viscosity. Basaltic material fills many of the Moon’s major basins, especially on the near side. Glossary Basin A very large circular impact structure (usually comprising multiple concentric rings) that usually displays some degree of flooding with lava. The largest and most conspicuous lava- flooded basins on the Moon are found on the near side, and most are filled to their outer edges with mare basalts. -
Feature of the Month – January 2016 Galilaei
A PUBLICATION OF THE LUNAR SECTION OF THE A.L.P.O. EDITED BY: Wayne Bailey [email protected] 17 Autumn Lane, Sewell, NJ 08080 RECENT BACK ISSUES: http://moon.scopesandscapes.com/tlo_back.html FEATURE OF THE MONTH – JANUARY 2016 GALILAEI Sketch and text by Robert H. Hays, Jr. - Worth, Illinois, USA October 26, 2015 03:32-03:58 UT, 15 cm refl, 170x, seeing 8-9/10 I sketched this crater and vicinity on the evening of Oct. 25/26, 2015 after the moon hid ZC 109. This was about 32 hours before full. Galilaei is a modest but very crisp crater in far western Oceanus Procellarum. It appears very symmetrical, but there is a faint strip of shadow protruding from its southern end. Galilaei A is the very similar but smaller crater north of Galilaei. The bright spot to the south is labeled Galilaei D on the Lunar Quadrant map. A tiny bit of shadow was glimpsed in this spot indicating a craterlet. Two more moderately bright spots are east of Galilaei. The western one of this pair showed a bit of shadow, much like Galilaei D, but the other one did not. Galilaei B is the shadow-filled crater to the west. This shadowing gave this crater a ring shape. This ring was thicker on its west side. Galilaei H is the small pit just west of B. A wide, low ridge extends to the southwest from Galilaei B, and a crisper peak is south of H. Galilaei B must be more recent than its attendant ridge since the crater's exterior shadow falls upon the ridge. -
Theoretical Models of Consciousness: a Scoping Review
brain sciences Review Theoretical Models of Consciousness: A Scoping Review Davide Sattin 1,2,*, Francesca Giulia Magnani 1, Laura Bartesaghi 1, Milena Caputo 1, Andrea Veronica Fittipaldo 3, Martina Cacciatore 1, Mario Picozzi 4 and Matilde Leonardi 1 1 Neurology, Public Health, Disability Unit—Scientific Department, Fondazione IRCCS Istituto Neurologico Carlo Besta, 20133 Milan, Italy; [email protected] (F.G.M.); [email protected] (L.B.); [email protected] (M.C.); [email protected] (M.C.); [email protected] (M.L.) 2 Experimental Medicine and Medical Humanities-PhD Program, Biotechnology and Life Sciences Department and Center for Clinical Ethics, Insubria University, 21100 Varese, Italy 3 Oncology Department, Mario Negri Institute for Pharmacological Research IRCCS, 20156 Milan, Italy; veronicaandrea.fi[email protected] 4 Center for Clinical Ethics, Biotechnology and Life Sciences Department, Insubria University, 21100 Varese, Italy; [email protected] * Correspondence: [email protected]; Tel.: +39-02-2394-2709 Abstract: The amount of knowledge on human consciousness has created a multitude of viewpoints and it is difficult to compare and synthesize all the recent scientific perspectives. Indeed, there are many definitions of consciousness and multiple approaches to study the neural correlates of consciousness (NCC). Therefore, the main aim of this article is to collect data on the various theories of consciousness published between 2007–2017 and to synthesize them to provide a general overview of this topic. To describe each theory, we developed a thematic grid called the dimensional model, which qualitatively and quantitatively analyzes how each article, related to one specific theory, debates/analyzes a specific issue. -
Wolfgang Pauli Niels Bohr Paul Dirac Max Planck Richard Feynman
Wolfgang Pauli Niels Bohr Paul Dirac Max Planck Richard Feynman Louis de Broglie Norman Ramsey Willis Lamb Otto Stern Werner Heisenberg Walther Gerlach Ernest Rutherford Satyendranath Bose Max Born Erwin Schrödinger Eugene Wigner Arnold Sommerfeld Julian Schwinger David Bohm Enrico Fermi Albert Einstein Where discovery meets practice Center for Integrated Quantum Science and Technology IQ ST in Baden-Württemberg . Introduction “But I do not wish to be forced into abandoning strict These two quotes by Albert Einstein not only express his well more securely, develop new types of computer or construct highly causality without having defended it quite differently known aversion to quantum theory, they also come from two quite accurate measuring equipment. than I have so far. The idea that an electron exposed to a different periods of his life. The first is from a letter dated 19 April Thus quantum theory extends beyond the field of physics into other 1924 to Max Born regarding the latter’s statistical interpretation of areas, e.g. mathematics, engineering, chemistry, and even biology. beam freely chooses the moment and direction in which quantum mechanics. The second is from Einstein’s last lecture as Let us look at a few examples which illustrate this. The field of crypt it wants to move is unbearable to me. If that is the case, part of a series of classes by the American physicist John Archibald ography uses number theory, which constitutes a subdiscipline of then I would rather be a cobbler or a casino employee Wheeler in 1954 at Princeton. pure mathematics. Producing a quantum computer with new types than a physicist.” The realization that, in the quantum world, objects only exist when of gates on the basis of the superposition principle from quantum they are measured – and this is what is behind the moon/mouse mechanics requires the involvement of engineering. -
Consciousness, Philosophical Issues About Ned Block New York University I
To appear in The Encyclopedia of Cognitive Science Consciousness, Philosophical Issues about Ned Block New York University I. The Hard Problem There are a number of different matters that come under the heading of ‘consciousness’. One of them is phenomenality, the feeling of say a sensation of red or a pain, that is what it is like to have such a sensation or other experience. Another is reflection on phenomenality. Imagine two infants, both of which have pain, but only one of which has a thought about that pain. Both would have phenomenal states, but only the latter would have a state of reflexive consciousness. This entry will start with phenomenality, moving later to reflexivity and then to one other kind of consciousness. The Hard Problem of consciousness is how to explain a state of consciousness in terms of its neurological basis. If neural state N is the neural basis of the sensation of red, why is N the basis of that experience rather than some other experience or none at all? Chalmers (1996) distinguishes between the Hard Problem and “easy” problems that concern the function of consciousness. The Hard Problem (though not under that name) was identified by Nagel (1974) and further analyzed in Levine (1983). There are two reasons for thinking that the Hard Problem has no solution. 1. Actual Failure. In fact, no one has been able to think of even a highly speculative answer. 2. Principled Failure. The materials we have available seem ill suited to providing an answer. As Nagel says, an answer to this question would seem to require an objective account that necessarily leaves out the subjectivity of what it is trying to explain. -
The Language of Differential Forms
Appendix A The Language of Differential Forms This appendix—with the only exception of Sect.A.4.2—does not contain any new physical notions with respect to the previous chapters, but has the purpose of deriving and rewriting some of the previous results using a different language: the language of the so-called differential (or exterior) forms. Thanks to this language we can rewrite all equations in a more compact form, where all tensor indices referred to the diffeomorphisms of the curved space–time are “hidden” inside the variables, with great formal simplifications and benefits (especially in the context of the variational computations). The matter of this appendix is not intended to provide a complete nor a rigorous introduction to this formalism: it should be regarded only as a first, intuitive and oper- ational approach to the calculus of differential forms (also called exterior calculus, or “Cartan calculus”). The main purpose is to quickly put the reader in the position of understanding, and also independently performing, various computations typical of a geometric model of gravity. The readers interested in a more rigorous discussion of differential forms are referred, for instance, to the book [22] of the bibliography. Let us finally notice that in this appendix we will follow the conventions introduced in Chap. 12, Sect. 12.1: latin letters a, b, c,...will denote Lorentz indices in the flat tangent space, Greek letters μ, ν, α,... tensor indices in the curved manifold. For the matter fields we will always use natural units = c = 1. Also, unless otherwise stated, in the first three Sects. -
Inis: Terminology Charts
IAEA-INIS-13A(Rev.0) XA0400071 INIS: TERMINOLOGY CHARTS agree INTERNATIONAL ATOMIC ENERGY AGENCY, VIENNA, AUGUST 1970 INISs TERMINOLOGY CHARTS TABLE OF CONTENTS FOREWORD ... ......... *.* 1 PREFACE 2 INTRODUCTION ... .... *a ... oo 3 LIST OF SUBJECT FIELDS REPRESENTED BY THE CHARTS ........ 5 GENERAL DESCRIPTOR INDEX ................ 9*999.9o.ooo .... 7 FOREWORD This document is one in a series of publications known as the INIS Reference Series. It is to be used in conjunction with the indexing manual 1) and the thesaurus 2) for the preparation of INIS input by national and regional centrea. The thesaurus and terminology charts in their first edition (Rev.0) were produced as the result of an agreement between the International Atomic Energy Agency (IAEA) and the European Atomic Energy Community (Euratom). Except for minor changesq the terminology and the interrela- tionships btween rms are those of the December 1969 edition of the Euratom Thesaurus 3) In all matters of subject indexing and ontrol, the IAEA followed the recommendations of Euratom for these charts. Credit and responsibility for the present version of these charts must go to Euratom. Suggestions for improvement from all interested parties. particularly those that are contributing to or utilizing the INIS magnetic-tape services are welcomed. These should be addressed to: The Thesaurus Speoialist/INIS Section Division of Scientific and Tohnioal Information International Atomic Energy Agency P.O. Box 590 A-1011 Vienna, Austria International Atomic Energy Agency Division of Sientific and Technical Information INIS Section June 1970 1) IAEA-INIS-12 (INIS: Manual for Indexing) 2) IAEA-INIS-13 (INIS: Thesaurus) 3) EURATOM Thesaurusq, Euratom Nuclear Documentation System.