The Arrow of Time, the Nature of Spacetime, and Quantum Measurement
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
26-2 Spacetime and the Spacetime Interval We Usually Think of Time and Space As Being Quite Different from One Another
Answer to Essential Question 26.1: (a) The obvious answer is that you are at rest. However, the question really only makes sense when we ask what the speed is measured with respect to. Typically, we measure our speed with respect to the Earth’s surface. If you answer this question while traveling on a plane, for instance, you might say that your speed is 500 km/h. Even then, however, you would be justified in saying that your speed is zero, because you are probably at rest with respect to the plane. (b) Your speed with respect to a point on the Earth’s axis depends on your latitude. At the latitude of New York City (40.8° north) , for instance, you travel in a circular path of radius equal to the radius of the Earth (6380 km) multiplied by the cosine of the latitude, which is 4830 km. You travel once around this circle in 24 hours, for a speed of 350 m/s (at a latitude of 40.8° north, at least). (c) The radius of the Earth’s orbit is 150 million km. The Earth travels once around this orbit in a year, corresponding to an orbital speed of 3 ! 104 m/s. This sounds like a high speed, but it is too small to see an appreciable effect from relativity. 26-2 Spacetime and the Spacetime Interval We usually think of time and space as being quite different from one another. In relativity, however, we link time and space by giving them the same units, drawing what are called spacetime diagrams, and plotting trajectories of objects through spacetime. -
Time Reversal Symmetry in Cosmology and the Creation of a Universe–Antiuniverse Pair
universe Review Time Reversal Symmetry in Cosmology and the Creation of a Universe–Antiuniverse Pair Salvador J. Robles-Pérez 1,2 1 Estación Ecológica de Biocosmología, Pedro de Alvarado, 14, 06411 Medellín, Spain; [email protected] 2 Departamento de Matemáticas, IES Miguel Delibes, Miguel Hernández 2, 28991 Torrejón de la Calzada, Spain Received: 14 April 2019; Accepted: 12 June 2019; Published: 13 June 2019 Abstract: The classical evolution of the universe can be seen as a parametrised worldline of the minisuperspace, with the time variable t being the parameter that parametrises the worldline. The time reversal symmetry of the field equations implies that for any positive oriented solution there can be a symmetric negative oriented one that, in terms of the same time variable, respectively represent an expanding and a contracting universe. However, the choice of the time variable induced by the correct value of the Schrödinger equation in the two universes makes it so that their physical time variables can be reversely related. In that case, the two universes would both be expanding universes from the perspective of their internal inhabitants, who identify matter with the particles that move in their spacetimes and antimatter with the particles that move in the time reversely symmetric universe. If the assumptions considered are consistent with a realistic scenario of our universe, the creation of a universe–antiuniverse pair might explain two main and related problems in cosmology: the time asymmetry and the primordial matter–antimatter asymmetry of our universe. Keywords: quantum cosmology; origin of the universe; time reversal symmetry PACS: 98.80.Qc; 98.80.Bp; 11.30.-j 1. -
The Second Law of Thermodynamics Forbids Time Travel
Cosmology, 2014, Vol. 18. 212-222 Cosmology.com, 2014 The Second Law Of Thermodynamics Forbids Time Travel Marko Popovic Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT 84602, USA Abstract Four space-time coordinates define one thermodynamic parameter - Volume. Cell/ organism growth is one of the most fundamental properties of living creatures. The growth is characterized by irreversible change of the volume of the cell/organism. This irreversible change of volume (growth of the cell/organism) makes the system irreversibly change its thermodynamic state. Irreversible change of the systems thermodynamic state makes impossible return to the previous state characterized by state parameters. The impossibility to return the system to the previous state leads to conclusion that even to artificially turn back the arrow of time (as a parameter), it is not possible to turn back the state of the organism and its surroundings. Irreversible change of thermodynamic state of the organism is also consequence of the accumulation of entropy during life. So even if we find the way to turn back the time arrow it is impossible to turn back the state of the thermodynamic system (including organism) because of irreversibility of thermodynamic/ physiologic processes in it. Keywords: Time travel, Entropy, Living Organism, Surroundings, Irreversibility Cosmology, 2014, Vol. 18. 212-222 Cosmology.com, 2014 1. Introduction The idea of time travel has fascinated humanity since ancient times and can be found in texts as old as Mahabharata and Talmud. Later it continued to be developed in literature (i.e. Dickens' “A Christmas Carol”, or Twain's “A Connecticut Yankee in King Arthur's Court”…). -
The Arrow of Time Volume 7 Paul Davies Summer 2014 Beyond Center for Fundamental Concepts in Science, Arizona State University, Journal Homepage P.O
The arrow of time Volume 7 Paul Davies Summer 2014 Beyond Center for Fundamental Concepts in Science, Arizona State University, journal homepage P.O. Box 871504, Tempe, AZ 852871504, USA. www.euresisjournal.org [email protected] Abstract The arrow of time is often conflated with the popular but hopelessly muddled concept of the “flow” or \passage" of time. I argue that the latter is at best an illusion with its roots in neuroscience, at worst a meaningless concept. However, what is beyond dispute is that physical states of the universe evolve in time with an objective and readily-observable directionality. The ultimate origin of this asymmetry in time, which is most famously captured by the second law of thermodynamics and the irreversible rise of entropy, rests with cosmology and the state of the universe at its origin. I trace the various physical processes that contribute to the growth of entropy, and conclude that gravitation holds the key to providing a comprehensive explanation of the elusive arrow. 1. Time's arrow versus the flow of time The subject of time's arrow is bedeviled by ambiguous or poor terminology and the con- flation of concepts. Therefore I shall begin my essay by carefully defining terms. First an uncontentious statement: the states of the physical universe are observed to be distributed asymmetrically with respect to the time dimension (see, for example, Refs. [1, 2, 3, 4]). A simple example is provided by an earthquake: the ground shakes and buildings fall down. We would not expect to see the reverse sequence, in which shaking ground results in the assembly of a building from a heap of rubble. -
Spacetime Symmetries and the Cpt Theorem
SPACETIME SYMMETRIES AND THE CPT THEOREM BY HILARY GREAVES A dissertation submitted to the Graduate School|New Brunswick Rutgers, The State University of New Jersey in partial fulfillment of the requirements for the degree of Doctor of Philosophy Graduate Program in Philosophy Written under the direction of Frank Arntzenius and approved by New Brunswick, New Jersey May, 2008 ABSTRACT OF THE DISSERTATION Spacetime symmetries and the CPT theorem by Hilary Greaves Dissertation Director: Frank Arntzenius This dissertation explores several issues related to the CPT theorem. Chapter 2 explores the meaning of spacetime symmetries in general and time reversal in particular. It is proposed that a third conception of time reversal, `geometric time reversal', is more appropriate for certain theoretical purposes than the existing `active' and `passive' conceptions. It is argued that, in the case of classical electromagnetism, a particular nonstandard time reversal operation is at least as defensible as the standard view. This unorthodox time reversal operation is of interest because it is the classical counterpart of a view according to which the so-called `CPT theorem' of quantum field theory is better called `PT theorem'; on this view, a puzzle about how an operation as apparently non- spatio-temporal as charge conjugation can be linked to spacetime symmetries in as intimate a way as a CPT theorem would seem to suggest dissolves. In chapter 3, we turn to the question of whether the CPT theorem is an essentially quantum-theoretic result. We state and prove a classical analogue of the CPT theorem for systems of tensor fields. This classical analogue, however, ii appears not to extend to systems of spinor fields. -
The Philosophy and Physics of Time Travel: the Possibility of Time Travel
University of Minnesota Morris Digital Well University of Minnesota Morris Digital Well Honors Capstone Projects Student Scholarship 2017 The Philosophy and Physics of Time Travel: The Possibility of Time Travel Ramitha Rupasinghe University of Minnesota, Morris, [email protected] Follow this and additional works at: https://digitalcommons.morris.umn.edu/honors Part of the Philosophy Commons, and the Physics Commons Recommended Citation Rupasinghe, Ramitha, "The Philosophy and Physics of Time Travel: The Possibility of Time Travel" (2017). Honors Capstone Projects. 1. https://digitalcommons.morris.umn.edu/honors/1 This Paper is brought to you for free and open access by the Student Scholarship at University of Minnesota Morris Digital Well. It has been accepted for inclusion in Honors Capstone Projects by an authorized administrator of University of Minnesota Morris Digital Well. For more information, please contact [email protected]. The Philosophy and Physics of Time Travel: The possibility of time travel Ramitha Rupasinghe IS 4994H - Honors Capstone Project Defense Panel – Pieranna Garavaso, Michael Korth, James Togeas University of Minnesota, Morris Spring 2017 1. Introduction Time is mysterious. Philosophers and scientists have pondered the question of what time might be for centuries and yet till this day, we don’t know what it is. Everyone talks about time, in fact, it’s the most common noun per the Oxford Dictionary. It’s in everything from history to music to culture. Despite time’s mysterious nature there are a lot of things that we can discuss in a logical manner. Time travel on the other hand is even more mysterious. -
1 How Could Relativity Be Anything Other Than Physical?
How Could Relativity be Anything Other Than Physical? Wayne C. Myrvold Department of Philosophy The University of Western Ontario [email protected] Forthcoming in Studies in History and Philosophy of Modern Physics. Special Issue: Physical Relativity, 10 years on Abstract Harvey Brown’s Physical Relativity defends a view, the dynamical perspective, on the nature of spacetime that goes beyond the familiar dichotomy of substantivalist/relationist views. A full defense of this view requires attention to the way that our use of spacetime concepts connect with the physical world. Reflection on such matters, I argue, reveals that the dynamical perspective affords the only possible view about the ontological status of spacetime, in that putative rivals fail to express anything, either true or false. I conclude with remarks aimed at clarifying what is and isn’t in dispute with regards to the explanatory priority of spacetime and dynamics, at countering an objection raised by John Norton to views of this sort, and at clarifying the relation between background and effective spacetime structure. 1. Introduction Harvey Brown’s Physical Relativity is a delightful book, rich in historical details, whose main thrust is to an advance a view of the nature of spacetime structure, which he calls the dynamical perspective, that goes beyond the familiar dichotomy of substantivalism and relationism. The view holds that spacetime structure and dynamics are intrinsically conceptually intertwined and that talk of spacetime symmetries and asymmetries is nothing else than talk of the symmetries and asymmetries of dynamical laws. Brown has precursors in this; I count, for example, Howard Stein (1967) and Robert DiSalle (1995) among them. -
A Measure of Change Brittany A
University of South Carolina Scholar Commons Theses and Dissertations Spring 2019 Time: A Measure of Change Brittany A. Gentry Follow this and additional works at: https://scholarcommons.sc.edu/etd Part of the Philosophy Commons Recommended Citation Gentry, B. A.(2019). Time: A Measure of Change. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/5247 This Open Access Dissertation is brought to you by Scholar Commons. It has been accepted for inclusion in Theses and Dissertations by an authorized administrator of Scholar Commons. For more information, please contact [email protected]. Time: A Measure of Change By Brittany A. Gentry Bachelor of Arts Houghton College, 2009 ________________________________________________ Submitted in Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy in Philosophy College of Arts and Sciences University of South Carolina 2019 Accepted by Michael Dickson, Major Professor Leah McClimans, Committee Member Thomas Burke, Committee Member Alexander Pruss, Committee Member Cheryl L. Addy, Vice Provost and Dean of the Graduate School ©Copyright by Brittany A. Gentry, 2019 All Rights Reserved ii Acknowledgements I would like to thank Michael Dickson, my dissertation advisor, for extensive comments on numerous drafts over the last several years and for his patience and encouragement throughout this process. I would also like to thank my other committee members, Leah McClimans, Thomas Burke, and Alexander Pruss, for their comments and recommendations along the way. Finally, I am grateful to fellow students and professors at the University of South Carolina, the audience at the International Society for the Philosophy of Time conference at Wake Forest University, NC, and anonymous reviewers for helpful comments on various drafts of portions of this dissertation. -
1 Temporal Arrows in Space-Time Temporality
Temporal Arrows in Space-Time Temporality (…) has nothing to do with mechanics. It has to do with statistical mechanics, thermodynamics (…).C. Rovelli, in Dieks, 2006, 35 Abstract The prevailing current of thought in both physics and philosophy is that relativistic space-time provides no means for the objective measurement of the passage of time. Kurt Gödel, for instance, denied the possibility of an objective lapse of time, both in the Special and the General theory of relativity. From this failure many writers have inferred that a static block universe is the only acceptable conceptual consequence of a four-dimensional world. The aim of this paper is to investigate how arrows of time could be measured objectively in space-time. In order to carry out this investigation it is proposed to consider both local and global arrows of time. In particular the investigation will focus on a) invariant thermodynamic parameters in both the Special and the General theory for local regions of space-time (passage of time); b) the evolution of the universe under appropriate boundary conditions for the whole of space-time (arrow of time), as envisaged in modern quantum cosmology. The upshot of this investigation is that a number of invariant physical indicators in space-time can be found, which would allow observers to measure the lapse of time and to infer both the existence of an objective passage and an arrow of time. Keywords Arrows of time; entropy; four-dimensional world; invariance; space-time; thermodynamics 1 I. Introduction Philosophical debates about the nature of space-time often centre on questions of its ontology, i.e. -
Time in Cosmology
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Philsci-Archive Time in Cosmology Craig Callender∗ C. D. McCoyy 21 August 2017 Readers familiar with the workhorse of cosmology, the hot big bang model, may think that cosmology raises little of interest about time. As cosmological models are just relativistic spacetimes, time is under- stood just as it is in relativity theory, and all cosmology adds is a few bells and whistles such as inflation and the big bang and no more. The aim of this chapter is to show that this opinion is not completely right...and may well be dead wrong. In our survey, we show how the hot big bang model invites deep questions about the nature of time, how inflationary cosmology has led to interesting new perspectives on time, and how cosmological speculation continues to entertain dramatically different models of time altogether. Together these issues indicate that the philosopher interested in the nature of time would do well to know a little about modern cosmology. Different claims about time have long been at the heart of cosmology. Ancient creation myths disagree over whether time is finite or infinite, linear or circular. This speculation led to Kant complaining in his famous antinomies that metaphysical reasoning about the nature of time leads to a “euthanasia of reason”. But neither Kant’s worry nor cosmology becoming a modern science succeeded in ending the speculation. Einstein’s first model of the universe portrays a temporally infinite universe, where space is edgeless and its material contents unchanging. -
The Origin of the Universe and the Arrow of Time
The Origin of the Universe and the Arrow of Time Sean M Carroll Caltech, Pasadena, CA One of the most obvious facts about the universe is that the past is different from the future. The world around us is full of irreversible processes: we can turn an egg into an omelet, but can't turn an omelet into an egg. Physicists have codified this difference into the Second Law of Thermodynamics: the entropy of a closed system always increases with time. But why? The ultimate explanation is to be found in cosmology: special conditions in the early universe are responsible for the arrow of time. I will talk about the nature of time, the origin of entropy, and how what happened before the Big Bang may be responsible for the arrow of time we observe today. Sean Carroll is a Senior Research Associate in Physics at the California Institute of Technology. He received his Ph.D. in 1993 from Harvard University, and has previously worked as a postdoctoral researcher at the Center for Theoretical Physics at MIT and at the Institute for Theoretical Physics at the University of California, Santa Barbara, as well as on the faculty at the University of Chicago. His research ranges over a number of topics in theoretical physics, focusing on cosmology, field theory, particle physics, and gravitation. Carroll is the author of From Eternity to Here: The Quest for the Ultimate Theory of Time, an upcoming popular-level book on cosmology and the arrow of time. He has also written a graduate textbook, Spacetime and Geometry: An Introduction to General Relativity, and recorded a set of lectures on cosmology for the Teaching Company. -
Causality Is an Effect, II
entropy Article Causality Is an Effect, II Lawrence S. Schulman Physics Department, Clarkson University, Potsdam, NY 13699-5820, USA; [email protected] Abstract: Causality follows the thermodynamic arrow of time, where the latter is defined by the direction of entropy increase. After a brief review of an earlier version of this article, rooted in classical mechanics, we give a quantum generalization of the results. The quantum proofs are limited to a gas of Gaussian wave packets. Keywords: causality; arrow of time; entropy increase; quantum generalization; Gaussian wave packets 1. Introduction The history of multiple time boundary conditions goes back—as far as I know—to Schottky [1,2], who, in 1921, considered a single slice of time inadequate for prediction or retrodiction (see AppendixA). There was later work of Watanabe [ 3] concerned with predic- tion and retrodiction. Then, Schulman [4] uses this as a conceptual way to eliminate “initial conditions” prejudice from Gold’s [5] rationale for the arrow of time and Wheeler [6,7] discusses two time boundary conditions. Gell–Mann and Hartle also contributed to this subject [8] and include a review of some previous work. Finally, Aharonov et al. [9,10] pro- posed that this could solve the measurement problem of quantum mechanics, although this is disputed [11]. See also AppendixB. This formalism has also allowed me to come to a conclusion: effect follows cause in the direction of entropy increase. This result is not unanticipated; most likely everything Citation: Schulman, L.S. Causality Is having to do with arrows of time has been anticipated. What is unusual, however, is the an Effect, II.