Universe on a String
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The Universe, Life and Everything…
Our current understanding of our world is nearly 350 years old. Durston It stems from the ideas of Descartes and Newton and has brought us many great things, including modern science and & increases in wealth, health and everyday living standards. Baggerman Furthermore, it is so engrained in our daily lives that we have forgotten it is a paradigm, not fact. However, there are some problems with it: first, there is no satisfactory explanation for why we have consciousness and experience meaning in our The lives. Second, modern-day physics tells us that observations Universe, depend on characteristics of the observer at the large, cosmic Dialogues on and small, subatomic scales. Third, the ongoing humanitarian and environmental crises show us that our world is vastly The interconnected. Our understanding of reality is expanding to Universe, incorporate these issues. In The Universe, Life and Everything... our Changing Dialogues on our Changing Understanding of Reality, some of the scholars at the forefront of this change discuss the direction it is taking and its urgency. Life Understanding Life and and Sarah Durston is Professor of Developmental Disorders of the Brain at the University Medical Centre Utrecht, and was at the Everything of Reality Netherlands Institute for Advanced Study in 2016/2017. Ton Baggerman is an economic psychologist and psychotherapist in Tilburg. Everything ISBN978-94-629-8740-1 AUP.nl 9789462 987401 Sarah Durston and Ton Baggerman The Universe, Life and Everything… The Universe, Life and Everything… Dialogues on our Changing Understanding of Reality Sarah Durston and Ton Baggerman AUP Contact information for authors Sarah Durston: [email protected] Ton Baggerman: [email protected] Cover design: Suzan Beijer grafisch ontwerp, Amersfoort Lay-out: Crius Group, Hulshout Amsterdam University Press English-language titles are distributed in the US and Canada by the University of Chicago Press. -
Unification of Gravity and Quantum Theory Adam Daniels Old Dominion University, [email protected]
Old Dominion University ODU Digital Commons Faculty-Sponsored Student Research Electrical & Computer Engineering 2017 Unification of Gravity and Quantum Theory Adam Daniels Old Dominion University, [email protected] Follow this and additional works at: https://digitalcommons.odu.edu/engineering_students Part of the Elementary Particles and Fields and String Theory Commons, Engineering Physics Commons, and the Quantum Physics Commons Repository Citation Daniels, Adam, "Unification of Gravity and Quantum Theory" (2017). Faculty-Sponsored Student Research. 1. https://digitalcommons.odu.edu/engineering_students/1 This Report is brought to you for free and open access by the Electrical & Computer Engineering at ODU Digital Commons. It has been accepted for inclusion in Faculty-Sponsored Student Research by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Unification of Gravity and Quantum Theory Adam D. Daniels [email protected] Electrical and Computer Engineering Department, Old Dominion University Norfolk, Virginia, United States Abstract- An overview of the four fundamental forces of objects falling on earth. Newton’s insight was that the force that physics as described by the Standard Model (SM) and prevalent governs matter here on Earth was the same force governing the unifying theories beyond it is provided. Background knowledge matter in space. Another critical step forward in unification was of the particles governing the fundamental forces is provided, accomplished in the 1860s when James C. Maxwell wrote down as it will be useful in understanding the way in which the his famous Maxwell’s Equations, showing that electricity and unification efforts of particle physics has evolved, either from magnetism were just two facets of a more fundamental the SM, or apart from it. -
Duality and Strings Dieter Lüst, LMU and MPI München
Duality and Strings Dieter Lüst, LMU and MPI München Freitag, 15. März 13 Luis made several very profound and important contributions to theoretical physics ! Freitag, 15. März 13 Luis made several very profound and important contributions to theoretical physics ! Often we were working on related subjects and I enjoyed various very nice collaborations and friendship with Luis. Freitag, 15. März 13 Luis made several very profound and important contributions to theoretical physics ! Often we were working on related subjects and I enjoyed various very nice collaborations and friendship with Luis. Duality of 4 - dimensional string constructions: • Covariant lattices ⇔ (a)symmetric orbifolds (1986/87: W. Lerche, D.L., A. Schellekens ⇔ L. Ibanez, H.P. Nilles, F. Quevedo) • Intersecting D-brane models ☞ SM (?) (2000/01: R. Blumenhagen, B. Körs, L. Görlich, D.L., T. Ott ⇔ G. Aldazabal, S. Franco, L. Ibanez, F. Marchesano, R. Rabadan, A. Uranga) Freitag, 15. März 13 Luis made several very profound and important contributions to theoretical physics ! Often we were working on related subjects and I enjoyed various very nice collaborations and friendship with Luis. Duality of 4 - dimensional string constructions: • Covariant lattices ⇔ (a)symmetric orbifolds (1986/87: W. Lerche, D.L., A. Schellekens ⇔ L. Ibanez, H.P. Nilles, F. Quevedo) • Intersecting D-brane models ☞ SM (?) (2000/01: R. Blumenhagen, B. Körs, L. Görlich, D.L., T. Ott ⇔ G. Aldazabal, S. Franco, L. Ibanez, F. Marchesano, R. Rabadan, A. Uranga) ➢ Madrid (Spanish) Quiver ! Freitag, 15. März 13 Luis made several very profound and important contributions to theoretical physics ! Often we were working on related subjects and I enjoyed various very nice collaborations and friendship with Luis. -
Unification of Nature's Fundamental Forces
Unification of Nature’s Geoffrey B. West Fredrick M. Cooper Fundamental Forces Emil Mottola a continuing search Michael P. Mattis it was explicitly recognized at the time that basic research had an im- portant and seminal role to play even in the highly programmatic en- vironment of the Manhattan Project. Not surprisingly this mode of opera- tion evolved into the remarkable and unique admixture of pure, applied, programmatic, and technological re- search that is the hallmark of the present Laboratory structure. No- where in the world today can one find under one roof such diversity of talent dealing with such a broad range of scientific and technological challenges—from questions con- cerning the evolution of the universe and the nature of elementary parti- cles to the structure of new materi- als, the design and control of weapons, the mysteries of the gene, and the nature of AIDS! Many of the original scientists would have, in today’s parlance, identified themselves as nuclear or particle physicists. They explored the most basic laws of physics and continued the search for and under- standing of the “fundamental build- ing blocks of nature’’ and the princi- t is a well-known, and much- grappled with deep questions con- ples that govern their interactions. overworked, adage that the group cerning the consequences of quan- It is therefore fitting that this area of Iof scientists brought to Los tum mechanics, the structure of the science has remained a highly visi- Alamos to work on the Manhattan atom and its nucleus, and the devel- ble and active component of the Project constituted the greatest as- opment of quantum electrodynamics basic research activity at Los Alam- semblage of scientific talent ever (QED, the relativistic quantum field os. -
Aspects of Loop Quantum Gravity
Aspects of loop quantum gravity Alexander Nagen 23 September 2020 Submitted in partial fulfilment of the requirements for the degree of Master of Science of Imperial College London 1 Contents 1 Introduction 4 2 Classical theory 12 2.1 The ADM / initial-value formulation of GR . 12 2.2 Hamiltonian GR . 14 2.3 Ashtekar variables . 18 2.4 Reality conditions . 22 3 Quantisation 23 3.1 Holonomies . 23 3.2 The connection representation . 25 3.3 The loop representation . 25 3.4 Constraints and Hilbert spaces in canonical quantisation . 27 3.4.1 The kinematical Hilbert space . 27 3.4.2 Imposing the Gauss constraint . 29 3.4.3 Imposing the diffeomorphism constraint . 29 3.4.4 Imposing the Hamiltonian constraint . 31 3.4.5 The master constraint . 32 4 Aspects of canonical loop quantum gravity 35 4.1 Properties of spin networks . 35 4.2 The area operator . 36 4.3 The volume operator . 43 2 4.4 Geometry in loop quantum gravity . 46 5 Spin foams 48 5.1 The nature and origin of spin foams . 48 5.2 Spin foam models . 49 5.3 The BF model . 50 5.4 The Barrett-Crane model . 53 5.5 The EPRL model . 57 5.6 The spin foam - GFT correspondence . 59 6 Applications to black holes 61 6.1 Black hole entropy . 61 6.2 Hawking radiation . 65 7 Current topics 69 7.1 Fractal horizons . 69 7.2 Quantum-corrected black hole . 70 7.3 A model for Hawking radiation . 73 7.4 Effective spin-foam models . -
Representation and Metaphysics Proper
Richard B. Wells ©2006 CHAPTER 4 First Epilegomenon: Representation and Metaphysics Proper The pursuit of wisdom has had a two-fold origin. Diogenes Laertius § 1. Questions Raised by Representation The outline of representation presented in Chapter 3 leaves us with a number of questions we need to address. In this chapter we will take a look back at our ideas of representation and work toward the resolution of those issues that present themselves in consequence of the theory as it stands so far. I call this look back an epilegomenon, from epi – which means “over” or “upon” – and legein – “to speak.” I employ this new term because the English language seems to have no word that adequately expresses the task at hand. “Epilogue” would imply logical conclusion, while “summary” or “epitome” would suggest a simple re-hashing of what has already been said. Our present task is more than this; we must bring out the implications of representation, Critically examine the gaps in the representation model, and attempt to unite its aggregate pieces as a system. In doing so, our aim is to push farther toward “that which is clearer by nature” although we should not expect to arrive at this destination all in one lunge. Let this be my apology for this minor act of linguistic tampering.1 In particular, Chapter 3 saw the introduction of three classes of ideas that are addressed by the division of nous in its role as the agent of construction for representations. We described these ideas as ideas of the act of representing. -
The Large Hadron Collider Lyndon Evans CERN – European Organization for Nuclear Research, Geneva, Switzerland
34th SLAC Summer Institute On Particle Physics (SSI 2006), July 17-28, 2006 The Large Hadron Collider Lyndon Evans CERN – European Organization for Nuclear Research, Geneva, Switzerland 1. INTRODUCTION The Large Hadron Collider (LHC) at CERN is now in its final installation and commissioning phase. It is a two-ring superconducting proton-proton collider housed in the 27 km tunnel previously constructed for the Large Electron Positron collider (LEP). It is designed to provide proton-proton collisions with unprecedented luminosity (1034cm-2.s-1) and a centre-of-mass energy of 14 TeV for the study of rare events such as the production of the Higgs particle if it exists. In order to reach the required energy in the existing tunnel, the dipoles must operate at 1.9 K in superfluid helium. In addition to p-p operation, the LHC will be able to collide heavy nuclei (Pb-Pb) with a centre-of-mass energy of 1150 TeV (2.76 TeV/u and 7 TeV per charge). By modifying the existing obsolete antiproton ring (LEAR) into an ion accumulator (LEIR) in which electron cooling is applied, the luminosity can reach 1027cm-2.s-1. The LHC presents many innovative features and a number of challenges which push the art of safely manipulating intense proton beams to extreme limits. The beams are injected into the LHC from the existing Super Proton Synchrotron (SPS) at an energy of 450 GeV. After the two rings are filled, the machine is ramped to its nominal energy of 7 TeV over about 28 minutes. In order to reach this energy, the dipole field must reach the unprecedented level for accelerator magnets of 8.3 T. -
Introduction to Loop Quantum Gravity
Introduction to Loop Quantum Gravity Abhay Ashtekar Institute for Gravitation and the Cosmos, Penn State A broad perspective on the challenges, structure and successes of loop quantum gravity. Addressed to Young Researchers: From Beginning Students to Senior Post-docs. Organization: 1. Historical & Conceptual Setting 2. Structure of Loop Quantum Gravity 3. Outlook: Challenges and Opportunities – p. 1. Historical and Conceptual Setting Einstein’s resistance to accept quantum mechanics as a fundamental theory is well known. However, he had a deep respect for quantum mechanics and was the first to raise the problem of unifying general relativity with quantum theory. “Nevertheless, due to the inner-atomic movement of electrons, atoms would have to radiate not only electro-magnetic but also gravitational energy, if only in tiny amounts. As this is hardly true in Nature, it appears that quantum theory would have to modify not only Maxwellian electrodynamics, but also the new theory of gravitation.” (Albert Einstein, Preussische Akademie Sitzungsberichte, 1916) – p. • Physics has advanced tremendously in the last 90 years but the the problem of unification of general relativity and quantum physics still open. Why? ⋆ No experimental data with direct ramifications on the quantum nature of Gravity. – p. • Physics has advanced tremendously in the last nine decades but the the problem of unification of general relativity and quantum physics is still open. Why? ⋆ No experimental data with direct ramifications on the quantum nature of Gravity. ⋆ But then this should be a theorist’s haven! Why isn’t there a plethora of theories? – p. ⋆ No experimental data with direct ramifications on quantum Gravity. -
From Vibrating Strings to a Unified Theory of All Interactions
Barton Zwiebach From Vibrating Strings to a Unified Theory of All Interactions or the last twenty years, physicists have investigated F String Theory rather vigorously. The theory has revealed an unusual depth. As a result, despite much progress in our under- standing of its remarkable properties, basic features of the theory remain a mystery. This extended period of activity is, in fact, the second period of activity in string theory. When it was first discov- ered in the late 1960s, string theory attempted to describe strongly interacting particles. Along came Quantum Chromodynamics— a theoryof quarks and gluons—and despite their early promise, strings faded away. This time string theory is a credible candidate for a theoryof all interactions—a unified theoryof all forces and matter. The greatest complication that frustrated the search for such a unified theorywas the incompatibility between two pillars of twen- tieth century physics: Einstein’s General Theoryof Relativity and the principles of Quantum Mechanics. String theory appears to be 30 ) zwiebach mit physics annual 2004 the long-sought quantum mechani- cal theory of gravity and other interactions. It is almost certain that string theory is a consistent theory. It is less certain that it describes our real world. Nevertheless, intense work has demonstrated that string theory incorporates many features of the physical universe. It is reasonable to be very optimistic about the prospects of string theory. Perhaps one of the most impressive features of string theory is the appearance of gravity as one of the fluctuation modes of a closed string. Although it was not discov- ered exactly in this way, we can describe a logical path that leads to the discovery of gravity in string theory. -
Introduction to Conformal Field Theory and String
SLAC-PUB-5149 December 1989 m INTRODUCTION TO CONFORMAL FIELD THEORY AND STRING THEORY* Lance J. Dixon Stanford Linear Accelerator Center Stanford University Stanford, CA 94309 ABSTRACT I give an elementary introduction to conformal field theory and its applications to string theory. I. INTRODUCTION: These lectures are meant to provide a brief introduction to conformal field -theory (CFT) and string theory for those with no prior exposure to the subjects. There are many excellent reviews already available (or almost available), and most of these go in to much more detail than I will be able to here. Those reviews con- centrating on the CFT side of the subject include refs. 1,2,3,4; those emphasizing string theory include refs. 5,6,7,8,9,10,11,12,13 I will start with a little pre-history of string theory to help motivate the sub- ject. In the 1960’s it was noticed that certain properties of the hadronic spectrum - squared masses for resonances that rose linearly with the angular momentum - resembled the excitations of a massless, relativistic string.14 Such a string is char- *Work supported in by the Department of Energy, contract DE-AC03-76SF00515. Lectures presented at the Theoretical Advanced Study Institute In Elementary Particle Physics, Boulder, Colorado, June 4-30,1989 acterized by just one energy (or length) scale,* namely the square root of the string tension T, which is the energy per unit length of a static, stretched string. For strings to describe the strong interactions fi should be of order 1 GeV. Although strings provided a qualitative understanding of much hadronic physics (and are still useful today for describing hadronic spectra 15 and fragmentation16), some features were hard to reconcile. -
Advances in Theoretical & Computational Physics
ISSN: 2639-0108 Research Article Advances in Theoretical & Computational Physics Supreme Theory of Everything Ulaanbaatar Tarzad *Corresponding author Ulaanbaatar Tarzad, Department of Physics, School of Applied Sciences, Department of Physics, School of Applied Sciences, Mongolian Mongolian University of Science and Technology, Ulaanbaatar, Mongolia, University of Science and Technology E-mail: [email protected] Submitted: 27 Mar 2019; Accepted: 24 Apr 2019; Published: 06 June 2019 Abstract Not only universe, but everything has general characters as eternal, infinite, cyclic and wave-particle duality. Everything from elementary particles to celestial bodies, from electromagnetic wave to gravity is in eternal motions, which dissects only to circle. Since everything is described only by trigonometry. Without trigonometry and mathematical circle, the science cannot indicate all the beauty of harmonic universe. Other method may be very good, but it is not perfect. Some part is very nice, another part is problematic. General Theory of Relativity holds that gravity is geometric. Quantum Mechanics describes all particles by wave function of trigonometry. In this paper using trigonometry, particularly mathematics circle, a possible version of the unification of partial theories, evolution history and structure of expanding universe, and the parallel universes are shown. Keywords: HRD, Trigonometry, Projection of Circle, Singularity, The reality of universe describes by geometry, because of that not Celestial Body, Black Hole and Parallel Universes. only gravity is geometrical, but everything is it and nothing is linear. One of the important branches of geometry is trigonometry dealing Introduction with circle and triangle. For this reason, it is easier to describe nature Today scientists describe the universe in terms of two basic partial of universe by mathematics circle. -
Anomalous Muon Magnetic Moment, Supersymmetry, Naturalness, LHC Search Limits and the Landscape
OU-HEP-210415 Anomalous muon magnetic moment, supersymmetry, naturalness, LHC search limits and the landscape Howard Baer1∗, Vernon Barger2†, Hasan Serce1‡ 1Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA 2Department of Physics, University of Wisconsin, Madison, WI 53706 USA Abstract The recent measurement of the muon anomalous magnetic moment aµ ≡ (g − 2)µ=2 by the Fermilab Muon g − 2 experiment sharpens an earlier discrepancy between theory and the BNL E821 experiment. We examine the predicted ∆aµ ≡ aµ(exp) − aµ(th) in the context of supersymmetry with low electroweak naturalness (restricting to models which give a plausible explanation for the magnitude of the weak scale). A global analy- sis including LHC Higgs mass and sparticle search limits points to interpretation within the normal scalar mass hierarchy (NSMH) SUSY model wherein first/second generation matter scalars are much lighter than third generation scalars. We present a benchmark model for a viable NSMH point which is natural, obeys LHC Higgs and sparticle mass constraints and explains the muon magnetic anomaly. Aside from NSMH models, then we find the (g − 2)µ anomaly cannot be explained within the context of natural SUSY, where a variety of data point to decoupled first/second generation scalars. The situation is worse within the string landscape where first/second generation matter scalars are pulled arXiv:2104.07597v2 [hep-ph] 16 May 2021 to values in the 10 − 50 TeV range. An alternative interpretation for SUSY models with decoupled scalar masses is that perhaps the recent lattice evaluation of the hadronic vac- uum polarization could be confirmed which leads to a Standard Model theory-experiment agreement in which case there is no anomaly.