Lessons for Legal Theory from Quantum Mechanics
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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. -
An Energy and Determinist Approach of Quantum Mechanics Patrick Vaudon
An energy and determinist approach of quantum mechanics Patrick Vaudon To cite this version: Patrick Vaudon. An energy and determinist approach of quantum mechanics. 2018. hal-01714971v2 HAL Id: hal-01714971 https://hal.archives-ouvertes.fr/hal-01714971v2 Preprint submitted on 15 Mar 2018 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. An energy and determinist approach of quantum mechanics Patrick VAUDON Xlim lab – University of Limoges - France 0 Table of contents First part Classical approach of DIRAC equation and its solutions Introduction ............................................................................................................................................. 4 DIRAC equation ...................................................................................................................................... 9 DIRAC bi-spinors ................................................................................................................................. 16 Spin ½ of the electron .......................................................................................................................... -
The Mechanical Problems in the Corpus of Aristotle
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications, Classics and Religious Studies Department Classics and Religious Studies July 2007 The Mechanical Problems in the Corpus of Aristotle Thomas Nelson Winter University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/classicsfacpub Part of the Classics Commons Winter, Thomas Nelson, "The Mechanical Problems in the Corpus of Aristotle" (2007). Faculty Publications, Classics and Religious Studies Department. 68. https://digitalcommons.unl.edu/classicsfacpub/68 This Article is brought to you for free and open access by the Classics and Religious Studies at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications, Classics and Religious Studies Department by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Th e Mechanical Problems in the Corpus of Aristotle Th omas N. Winter Lincoln, Nebraska • 2007 Translator’s Preface. Who Wrote the Mechanical Problems in the Aristotelian Corpus? When I was translating the Mechanical Problems, which I did from the TLG Greek text, I was still in the fundamentalist authorship mode: that it survives in the corpus of Aristotle was then for me prima facie Th is paper will: evidence that Aristotle was the author. And at many places I found in- 1) off er the plainest evidence yet that it is not Aristotle, and — 1 dications that the date of the work was apt for Aristotle. But eventually, 2) name an author. I saw a join in Vitruvius, as in the brief summary below, “Who Wrote Th at it is not Aristotle does not, so far, rest on evidence. -
The World As Will and Quantum Mechanics
(https://thephilosophicalsalon.com) ! HOME (HTTPS://THEPHILOSOPHICALSALON.COM/) ABOUT (HTTPS://THEPHILOSOPHICALSALON.COM/ABOUT/) CONTACT US (HTTPS://THEPHILOSOPHICALSALON.COM/CONTACT/) DEBATES THE WORLD AS WILL AND JUL QUANTUM 22 2019 MECHANICS BY BENJAMIN WINTERHALTER (HTTPS://THEPHILOSOPHICALSALON.COM/AUTHOR/BENJAMININTERHALTER/) 4" SHARE 0# COMMENT 10♥ LOVE here is, unfortunately, no such thing as fate. If we accept that quantum mechanics— for all the strangeness associated with it—gives an accurate description of the T universe’s basic ontology, we should also accept that the will is real. The evidence for quantum mechanics is extremely strong, and physicists, including Alan Guth, David Kaiser, and Andrew Friedman (https://www.quantamagazine.org/physicists-are-closing-the-bell-test- loophole-20170207/), have closed some of the few remaining loopholes around the reality of quantum entanglement, a phenomenon wherein the state of a particle cannot be described independently of the state of at least one other. (Albert Einstein called entanglement “spooky action at a distance.”) But the existentially terrifying prospect of free will contains a shimmering surprise: In the conception of free will that’s compatible with quantum mechanics, exercises of the will—intentions or desires that lead to bodily actions—are fundamentally limited, finite, and constrained. In a word, entangled. According to the American philosopher John Searle’s 2004 book Freedom and Neurobiology, the fact of quantum indeterminacy—the ineradicable uncertainty in our knowledge of physical systems, first formulated by the German physicist Werner Heisenberg—does not guarantee that free will exists. Indeterminacy is a necessary but not sufficient condition for the belief that there is no such thing as fate. -
Abstract for Non Ideal Measurements by David Albert (Philosophy, Columbia) and Barry Loewer (Philosophy, Rutgers)
Abstract for Non Ideal Measurements by David Albert (Philosophy, Columbia) and Barry Loewer (Philosophy, Rutgers) We have previously objected to "modal interpretations" of quantum theory by showing that these interpretations do not solve the measurement problem since they do not assign outcomes to non_ideal measurements. Bub and Healey replied to our objection by offering alternative accounts of non_ideal measurements. In this paper we argue first, that our account of non_ideal measurements is correct and second, that even if it is not it is very likely that interactions which we called non_ideal measurements actually occur and that such interactions possess outcomes. A defense of of the modal interpretation would either have to assign outcomes to these interactions, show that they don't have outcomes, or show that in fact they do not occur in nature. Bub and Healey show none of these. Key words: Foundations of Quantum Theory, The Measurement Problem, The Modal Interpretation, Non_ideal measurements. Non_Ideal Measurements Some time ago, we raised a number of rather serious objections to certain so_called "modal" interpretations of quantum theory (Albert and Loewer, 1990, 1991).1 Andrew Elby (1993) recently developed one of these objections (and added some of his own), and Richard Healey (1993) and Jeffrey Bub (1993) have recently published responses to us and Elby. It is the purpose of this note to explain why we think that their responses miss the point of our original objection. Since Elby's, Bub's, and Healey's papers contain excellent descriptions both of modal theories and of our objection to them, only the briefest review of these matters will be necessary here. -
Aristotle (384-322 BCE)
Aristotle (384-322 BCE) The Pythagoreans, Socrates, and Plato attempted to reconcile an element of human freedom with material determinism and causal law. But the first major philosopher to argue convincingly for some indeterminism was probably Aristotle. This is despite the fact that he described a causal chain back to a prime mover or first cause, and he elaborated the four possible causes (material, efficient, formal, and final). In his Physics and Metaphysics Aristotle also said there were "accidents" caused by "chance(τυχή)." In his Physics, he clearly reckoned chance among the causes. Aristotle might have added chance as a fifth cause - an uncaused or self-caused cause - that happens when two causal chains come together by accident (συμβεβεκός). He noted that the early physicists found no place for chance among the causes. Aristotle knew that many decisions were quite predictable based on habit and character, but they were no less free if one's character itself and predictable habits were developed freely in the past and were changeable in the future. This was the view of Eastern philosophies and religions. Our karma has been determined by our past actions (even from past lives), and strongly influences our current actions, but we are free to improve our karma by future good actions. As a principal architect of the concept of causality, and the formulator of the four causes, Aristotle's statements on indefinite causes are perhaps his most significant contribution to freedom, in the world and in human decisions. In his Metaphysics, Aristotle makes the case for chance and uncaused causes (causa sui) and in the Nicomachean Ethics he shows our actions can be voluntary and "up to us" so that we can be morally responsible. -
An Argument for 4D Blockworld from a Geometric Interpretation of Non-Relativistic Quantum Mechanics Michael Silberstein1,3, Michael Cifone3 and W.M
An Argument for 4D Blockworld from a Geometric Interpretation of Non-relativistic Quantum Mechanics Michael Silberstein1,3, Michael Cifone3 and W.M. Stuckey2 Abstract We use a new distinctly “geometrical” interpretation of non-relativistic quantum mechanics (NRQM) to argue for the fundamentality of the 4D blockworld ontology. Our interpretation rests on two formal results: Kaiser, Bohr & Ulfbeck and Anandan showed independently that the Heisenberg commutation relations of NRQM follow from the relativity of simultaneity (RoS) per the Poincaré Lie algebra, and Bohr, Ulfbeck & Mottelson showed that the density matrix for a particular NRQM experimental outcome may be obtained from the spacetime symmetry group of the experimental configuration. Together these formal results imply that contrary to accepted wisdom, NRQM, the measurement problem and so-called quantum non-locality do not provide reasons to abandon the 4D blockworld implication of RoS. After discussing the full philosophical implications of these formal results, we motivate and derive the Born rule in the context of our ontology of spacetime relations via Anandan. Finally, we apply our explanatory and descriptive methodology to a particular experimental set-up (the so-called “quantum liar experiment”) and thereby show how the blockworld view is not only consistent with NRQM, not only an implication of our geometrical interpretation of NRQM, but it is necessary in a non-trivial way for explaining quantum interference and “non-locality” from the spacetime perspective. 1 Department of Philosophy, Elizabethtown College, Elizabethtown, PA 17022, [email protected] 2 Department of Physics, Elizabethtown College, Elizabethtown, PA 17022, [email protected] 3 Department of Philosophy, University of Maryland, College Park, MD 20742, [email protected] 2 1. -
Politics Aristotle
Politics Aristotle Translated by Benjamin Jowett Batoche Books Kitchener 1999 Contents BOOK ONE .............................................................................. 3 BOOK TWO ........................................................................... 22 BOOK THREE ....................................................................... 51 BOOK FOUR ......................................................................... 80 BOOK FIVE ......................................................................... 108 BOOK SIX ........................................................................... 140 BOOK SEVEN ..................................................................... 152 BOOK EIGHT ...................................................................... 180 BOOK ONE Part I Every state is a community of some kind, and every community is es- tablished with a view to some good; for mankind always act in order to obtain that which they think good. But, if all communities aim at some good, the state or political community, which is the highest of all, and which embraces all the rest, aims at good in a greater degree than any other, and at the highest good. Some people think that the qualifications of a statesman, king, house- holder, and master are the same, and that they differ, not in kind, but only in the number of their subjects. For example, the ruler over a few is called a master; over more, the manager of a household; over a still larger number, a statesman or king, as if there were no difference be- tween a great household and a small state. The distinction which is made between the king and the statesman is as follows: When the government is personal, the ruler is a king; when, according to the rules of the politi- cal science, the citizens rule and are ruled in turn, then he is called a statesman. But all this is a mistake; for governments differ in kind, as will be evident to any one who considers the matter according to the method which has hitherto guided us. -
Yet Again, Quantum Indeterminacy Is Not Worldly Indecision
Noname manuscript No. (will be inserted by the editor) Yet Again, Quantum Indeterminacy is not Worldly Indecision Alberto Corti January 18, 2021 Pre-print. Accepted in Synthese. The link to the published version will be added soon. Abstract It has been argued that non-relativistic quantum mechanics is the best hunting ground for genuine examples of metaphysical indeterminacy. Ap- proaches to metaphysical indeterminacy can be divided into two families: meta-level and object-level accounts. It has been shown (Darby, 2010; Skow, 2010) that the most popular version of the meta-level accounts, namely the metaphysical supervaluationism proposed by Barnes and Williams (2011), fails to deal with quantum indeterminacy. Such a fact has been taken by many as a challenge to adapt supervaluationism to quantum cases. In this paper, I will focus on the very last of these attempts, i.e. the situation semantics account proposed by Darby and Pickup (2019). After having shown where quantum indeterminacy arises and having surveyed the assumptions endorsed by the participants of the debate, I turn to Darby and Pickup's proposal. I argue that, despite the machinery introduced, their account still fails to account for quantum indeterminacy. After considering some possible counterarguments, I suggest in the conclusion that one can plausibly extend the argument to those meta-level approaches that treat quantum indeterminacy as worldly indeci- sion. Keywords Metaphysical Indeterminacy · Meta-Level Accounts · Quantum Mechanics · Metaphysics of Science · Situation Semantics Alberto Corti [email protected] Department of Philosophy, University of Geneva. Department of Pure and Applied Sciences, University of Urbino. 2 Alberto Corti 1 Introduction Metaphysical indeterminacy (henceforth `MI') is the idea that indeterminacy is a feature of the world itself, rather than a feature imputable to the words we use (Fine, 1975) or to our knowledge (Williamson, 1994). -
Like Other Physical Theories, Quantum Mechanics Deals with Repeatable
Chapter 16 Free Will 16.1 The Problem The nature and existence of free will are traditional philosophical topics. One can easily see why by noting that the notions of free will and moral responsibility are related. The nature of the connection is a matter of debate; however, one can minimally say that paradigmatic cases of moral responsibility occur only when the agent acted of his own free will. Many have viewed free will as threatened both by theology and science.1 Leaving theology aside, the main threat coming from science has been represented by determinism, which we must now briefly consider. Determinism is the view that if at a time two isolated systems are described by the same state equation, then they have always been and will always be described the same equations and that two systems in the very same state always display the same properties. In effect, determinism is equivalent to the combination of evolutionary and value determinism. Classical mechanics is often taken to embody determinism, but to what 1 The theological problem is this. The traditional orthodox God knows the future. If God knows today that tomorrow at 3:23 pm I shall mow the lawn, then it looks as if mowing the lawn is not really up to me, since if I were to abstain from it I would turn God’s knowledge into mere belief, something that both philosophy and piety seem to prevent. Note, by the way, that the problem, albeit in a slightly different version, remains even if we dispose of God. -
On Perfect Friendship: an Outline and a Guide to Aristotle's Philosophy of Friendship
Colby College Digital Commons @ Colby Honors Theses Student Research 2010 On Perfect Friendship: An Outline and a Guide to Aristotle's Philosophy of Friendship Kristen Psaty Colby College Follow this and additional works at: https://digitalcommons.colby.edu/honorstheses Part of the Ethics and Political Philosophy Commons, Feminist Philosophy Commons, History of Philosophy Commons, and the Other Philosophy Commons Colby College theses are protected by copyright. They may be viewed or downloaded from this site for the purposes of research and scholarship. Reproduction or distribution for commercial purposes is prohibited without written permission of the author. Recommended Citation Psaty, Kristen, "On Perfect Friendship: An Outline and a Guide to Aristotle's Philosophy of Friendship" (2010). Honors Theses. Paper 589. https://digitalcommons.colby.edu/honorstheses/589 This Honors Thesis (Open Access) is brought to you for free and open access by the Student Research at Digital Commons @ Colby. It has been accepted for inclusion in Honors Theses by an authorized administrator of Digital Commons @ Colby. ON PERFECT FRIENDSHIP: An Outline and a Guide to Aristotle’s Philosophy of Friendship By Kristen Psaty Honors Thesis Philosophy Department © 2010 1 For Megan The one who brings out the best in me. To Kyle My other self . & to the ∆ΠΠ 2 “This has always been a man's world, and none of the reasons that have been offered in explanation have seemed adequate.” -Simone de Beauvoir Special Thanks to Lydia Moland, Valerie Dionne, Holly Moore and Thanks also to readers Amy Holmen and Elise Breed. 3 Table of Contents INTRODUCTION ………………………………………………. 6 CHAPTER I. ……………………………………………………. 13 An Introduction to Aristotle on Friendship CHAPTER II. -
Quantum Relational Indeterminacy
Article Quantum relational indeterminacy CALOSI, Claudio, MARIANI, Cristian Reference CALOSI, Claudio, MARIANI, Cristian. Quantum relational indeterminacy. Studies in History and Philosophy of Science. B, Studies in History and Philosophy of Modern Physics, 2020, p. 28 DOI : 10.1016/j.shpsb.2020.06.002 Available at: http://archive-ouverte.unige.ch/unige:140824 Disclaimer: layout of this document may differ from the published version. 1 / 1 Quantum Relational Indeterminacy Claudio Calosi & Cristian Mariani [in Studies in Hist. and Phil. of Modern Physics] Sometime we see a cloud that's dragonish, a vapour sometime like a bear or lion, a towered citadel, a pendent rock, a forked mountain, or blue promontory with trees upon't that nod unto the world and mock our eyes with air. Thou hast seen these signs; They are black vesper's pageants. W. Shakespeare, Antony and Cleopatra IV. 14: 3-10. Abstract The paper presents the first thorough investigation of quantum metaphys- ical indeterminacy (MI) in the context of the Relational Interpretation of Quantum Mechanics (RQM). We contend that the interaction between MI and RQM is mutually beneficial. On the one hand, MI provides a metaphysical framework for RQM that has been neglected in the liter- ature, and that promises to undermine some objections that are often raised against RQM. On the other hand, RQM might serve as an example of fundamental quantum MI. Introduction In his recent paper The Sky is Blue and Birds Flies Through it (2018), the leading physicist Carlo Rovelli distinguishes three equally important kinds of development that can move us forward in understanding the quantum world.