DICTIONARY of TERMS and LEGAL DEFINITIONS RELATED to HAZARDOUS, L\Jf~Nt~AL and SOLID WASTE
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Quantum Mechanics and Relativity): 21St Century Analysis
Noname manuscript No. (will be inserted by the editor) Joule's 19th Century Energy Conservation Meta-Law and the 20th Century Physics (Quantum Mechanics and Relativity): 21st Century Analysis Vladik Kreinovich · Olga Kosheleva Received: December 22, 2019 / Accepted: date Abstract Joule's Energy Conservation Law was the first \meta-law": a gen- eral principle that all physical equations must satisfy. It has led to many important and useful physical discoveries. However, a recent analysis seems to indicate that this meta-law is inconsistent with other principles { such as the existence of free will. We show that this conclusion about inconsistency is based on a seemingly reasonable { but simplified { analysis of the situation. We also show that a more detailed mathematical and physical analysis of the situation reveals that not only Joule's principle remains true { it is actually strengthened: it is no longer a principle that all physical theories should satisfy { it is a principle that all physical theories do satisfy. Keywords Joule · Energy Conservation Law · Free will · General Relativity · Planck's constant 1 Introduction Joule's Energy Conservation Law: historically the first meta-law. Throughout the centuries, physicists have been trying to come up with equa- tions and laws that describe different physical phenomenon. Before Joule, how- ever, there were no general principles that restricted such equations. James Joule showed, in [13{15], that different physical phenomena are inter-related, and that there is a general principle covering all the phenom- This work was supported in part by the US National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science) and HRD-1242122 (Cyber-ShARE Center of Excellence). -
Noether's Theorems and Gauge Symmetries
Noether’s Theorems and Gauge Symmetries Katherine Brading St. Hugh’s College, Oxford, OX2 6LE [email protected] and Harvey R. Brown Sub-faculty of Philosophy, University of Oxford, 10 Merton Street, Oxford OX1 4JJ [email protected] August 2000 Consideration of the Noether variational problem for any theory whose action is invariant under global and/or local gauge transformations leads to three distinct the- orems. These include the familiar Noether theorem, but also two equally important but much less well-known results. We present, in a general form, all the main results relating to the Noether variational problem for gauge theories, and we show the rela- tionships between them. These results hold for both Abelian and non-Abelian gauge theories. 1 Introduction There is widespread confusion over the role of Noether’s theorem in the case of local gauge symmetries,1 as pointed out in this journal by Karatas and Kowalski (1990), and Al-Kuwari and Taha (1991).2 In our opinion, the main reason for the confusion is failure to appreciate that Noether offered two theorems in her 1918 work. One theorem applies to symmetries associated with finite dimensional arXiv:hep-th/0009058v1 8 Sep 2000 Lie groups (global symmetries), and the other to symmetries associated with infinite dimensional Lie groups (local symmetries); the latter theorem has been widely forgotten. Knowledge of Noether’s ‘second theorem’ helps to clarify the significance of the results offered by Al-Kuwari and Taha for local gauge sym- metries, along with other important and related work such as that of Bergmann (1949), Trautman (1962), Utiyama (1956, 1959), and Weyl (1918, 1928/9). -
Oil and Gas Conservation Law in Review
The Pennsylvania Oil and Gas Conservation Law: A Summary of the Statutory Provisions 58 P.S. §§ 401-419 (March 2009) Prepared by Anna M. Clovis, Research Assistant Under the Supervision of Ross H. Pifer, J.D., LL.M., Director The Agricultural Law Resource and Reference Center Penn State Dickinson School of Law http://www.dsl.psu.edu/centers/aglaw.cfm The Oil and Gas Conservation Law (OGC Law) is one of the primary laws that regulate the extraction of natural gas in Pennsylvania. The OGC Law has been summarized in a section- by-section manner in this research publication, which provides an overview of the issues regulated by the OGC Law. To obtain detailed information on the individual statutory sections, the full text of the OGC Law should be reviewed. Declaration of Policy The OGC Law reflects a policy “to foster, encourage, and promote the development, production, and utilization” of Pennsylvania’s oil and natural gas resources. Development activities should occur in a manner to prevent the waste of oil and natural gas. Oil and natural gas operations should be regulated to ensure that “the Commonwealth shall realize and enjoy the maximum benefit of these natural resources.” Since strata above the Onondaga horizon have been extensively developed since 1850, it would be impractical to include shallow wells within the regulations of the OGC Law. Section 1: Short Title (58 P.S. § 401) This statute shall be known as the “Oil and Gas Conservation Law.” Section 2: Definitions (58 P.S. § 402) This section provides statutory definitions for various oil and gas terms used in the OGC Law. -
Parties to Crime and Vicarious Liability
CHAPTER 6: PARTIES TO CRIME AND VICARIOUS LIABILITY The text discusses parties to crime in terms of accessories and accomplices. Accessories are defined as accessory before the fact – those who help prepare for the crime – and accessories after the fact – those who assist offenders after the crime. Accomplices are defined as those who participate in the crime. Under the common law, accessories were typically not punished as much as accomplices or principle offenders; on the other hand, accomplices were usually punished the same as principal offenders. Accomplices and Accessories Before the Fact Under Ohio’s statutes, accomplices and accessories before the fact are now treated similarly, while accessories after the fact are treated separately under the obstruction of justice statute discussed later. Under Ohio’s complicity staute: (A) No person acting with the kind of culpability required for an offense…shall do any of the following: Solicit or procure another to commit the offense; Aid or abet another in committing the offense; Conspire with another to commit the offense… ; Cause an innocent or irresponsible person to commit the offense. (Ohio Revised Code, § 2923.03, 1986, available at http://codes.ohio.gov/orc/2923.03). Note that parts of the complicity statute – (A)(1) and (A)(3) – mention both solicitation and conspiracy. These two crimes are discussed in Chapter 7. The punishment for complicity is the same as for the principal offender; that is, if Offender A robs a liquor store and Offender B drives the getaway car, both offenders are subject to the same punishment, even though Offender A would be charged with robbery and Offender B would be charged with complicity (Ohio Revised Code, § 2923.03 (F), 1986, available at http://codes.ohio.gov/orc/2923.03). -
Virginia Model Jury Instructions – Criminal
Virginia Model Jury Instructions – Criminal Release 20, September 2019 NOTICE TO USERS: THE FOLLOWING SET OF UNANNOTATED MODEL JURY INSTRUCTIONS ARE BEING MADE AVAILABLE WITH THE PERMISSION OF THE PUBLISHER, MATTHEW BENDER & COMPANY, INC. PLEASE NOTE THAT THE FULL ANNOTATED VERSION OF THESE MODEL JURY INSTRUCTIONS IS AVAILABLE FOR PURCHASE FROM MATTHEW BENDER® BY WAY OF THE FOLLOWING LINK: https://store.lexisnexis.com/categories/area-of-practice/criminal-law-procedure- 161/virginia-model-jury-instructions-criminal-skuusSku6572 Matthew Bender is a registered trademark of Matthew Bender & Company, Inc. Instruction No. 2.050 Preliminary Instructions to Jury Members of the jury, the order of the trial of this case will be in four stages: 1. Opening statements 2. Presentation of the evidence 3. Instructions of law 4. Final argument After the conclusion of final argument, I will instruct you concerning your deliberations. You will then go to your room, select a foreperson, deliberate, and arrive at your verdict. Opening Statements First, the Commonwealth's attorney may make an opening statement outlining his or her case. Then the defendant's attorney also may make an opening statement. Neither side is required to do so. Presentation of the Evidence [Second, following the opening statements, the Commonwealth will introduce evidence, after which the defendant then has the right to introduce evidence (but is not required to do so). Rebuttal evidence may then be introduced if appropriate.] [Second, following the opening statements, the evidence will be presented.] Instructions of Law Third, at the conclusion of all evidence, I will instruct you on the law which is to be applied to this case. -
Application of Axiomatic Formal Theory to the Abraham--Minkowski
Application of axiomatic formal theory to the Abraham{Minkowski controversy Michael E. Crenshaw∗ Charles M. Bowden Research Laboratory, US Army Combat Capabilities Development Command (DEVCOM) - Aviation and Missile Center, Redstone Arsenal, AL 35898, USA (Dated: August 23, 2019) A transparent linear dielectric in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system. The energy{momentum tensor that is derived from Maxwellian continuum electrodynamics for this closed system is inconsistent with conservation of momentum; that is the foundational issue of the century-old Abraham{Minkowski controversy. The long-standing resolution of the Abraham{Minkowski controversy is to view continuum electrodynam- ics as a subsystem and write the total energy{momentum tensor as the sum of an electromagnetic energy{momentum tensor and a phenomenological material energy{momentum tensor. We prove that if we add a material energy{momentum tensor to the electromagnetic energy{momentum ten- sor, in the prescribed manner, then the total energy, the total linear momentum, and the total angular momentum are constant in time, but other aspects of the conservation laws are violated. Specifically, the four-divergence of the total (electromagnetic plus material) energy{momentum ten- sor is self-inconsistent and violates Poynting's theorem. Then, the widely accepted resolution of the Abraham{Minkowski dilemma is proven to be manifestly false. The fundamental physical principles of electrodynamics, conservation laws, and special relativity are intrinsic to the vacuum; the ex- tant dielectric versions of physical principles are non-fundamental extrapolations from the vacuum theory. Because the resolution of the Abraham{Minkowski momentum controversy is proven false, the extant theoretical treatments of macroscopic continuum electrodynamics, dielectric special rel- ativity, and energy{momentum conservation in a simple linear dielectric are mutually inconsistent for macroscopic fields in matter. -
Conservation Laws in Arbitrary Space-Times Annales De L’I
ANNALES DE L’I. H. P., SECTION A I. M. BENN Conservation laws in arbitrary space-times Annales de l’I. H. P., section A, tome 37, no 1 (1982), p. 67-91 <http://www.numdam.org/item?id=AIHPA_1982__37_1_67_0> © Gauthier-Villars, 1982, tous droits réservés. L’accès aux archives de la revue « Annales de l’I. H. P., section A » implique l’accord avec les conditions générales d’utilisation (http://www.numdam. org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ Ann. Henri Poincaré, Section A : Vol. XXXVII, n° 1. 1982, 67 Physique theorique.’ Conservation laws in arbitrary space-times I. M. BENN Department of Physics, University of Lancaster, Lancaster, U. K. ABSTRACT. - Definitions of energy and angular momentum are dis- cussed within the context of field theories in arbitrary space-times. It is shown that such definitions rely upon the existence of symmetries of the space-time geometry. The treatment of that geometry as a background is contrasted with Einstein’s theory of dynamical geometry : general rela- tivity. It is shown that in the former case symmetries lead to the existence of closed 3-forms, whereas in the latter they lead to the existence of 2-forms which are closed in source-free regions, thus allowing mass and angular momentum to be defined as de Rham periods. INTRODUCTION The concepts of energy and angular momentum are perhaps two of the most deeply rooted concepts of physics, yet in general relativity their exact role is still open to question [7]] [2 ]. -
Bond University Research Repository Challenging Conceptions Of
Bond University Research Repository Challenging Conceptions of Accessory Liability in Private Law Ridge, Pauline; Dietrich, Joachim Published in: Cambridge Law Journal DOI: 10.1017/S0008197319000345 Published: 01/07/2019 Document Version: Peer reviewed version Link to publication in Bond University research repository. Recommended citation(APA): Ridge, P., & Dietrich, J. (2019). Challenging Conceptions of Accessory Liability in Private Law. Cambridge Law Journal, 78(2), 383-408. https://doi.org/10.1017/S0008197319000345 General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. For more information, or if you believe that this document breaches copyright, please contact the Bond University research repository coordinator. Download date: 09 Oct 2020 CHALLENGING CONCEPTIONS OF ACCESSORY LIABILITY IN PRIVATE LAW PAULINE RIDGE* AND JOACHIM DIETRICH** This article concerns recent challenges to the utility of ‘accessory liability’ as an organising principle or concept in private law and argues that accessory liability is a coherent body of law with common features that is worthy of separate, holistic treatment. We defend a conceptual framework for accessory liability which is dynamic in its operation and which does not dictate the precise legal content of accessory liability in different contexts. Such a conception of accessory liability has come under challenge from recent cases and commentary which either minimise the scope and analytical relevance of accessory liability altogether in equity and tort law or propound a conceptual framework for accessory liability that is fixed in its application and uniform in its content across the whole of private law. -
This Resource Defines Terms That Are Used in Or Support the Risk Assessment Document
GLOSSARY This resource defines terms that are used in or support the risk assessment document. These definitions were based on terms defined in documents included in the reference section, with modifications as appropriate to address the City of New Rochelle specific definitions and requirements. 100-year flood – A flood that has a 1-percent chance of being equaled or exceeded in any given year. This flood event is also referred to as the base flood. The term "100-year flood" can be misleading; it is not the flood that will occur once every 100 years. Rather, it is the flood elevation that has a 1- percent chance of being equaled or exceeded each year. Therefore, the 100-year flood could occur more than once in a relatively short period of time. The 100-year flood, which is the standard used by most federal and state agencies, is used by the National Flood Insurance Program (NFIP) as the standard for floodplain management to determine the need for flood insurance. 500-year flood – A flood that has a 0.2-percent chance of being equaled or exceeded in any one year. Aggregate Data – Data gathered together across an area or region (for example, census tract or census block data). Annualized Loss – The estimated long-term value of losses from potential future hazard occurrences of a particular type in any given single year in a specified geographic area. In other words, the average annual loss that is likely to be incurred each year based on frequency of occurrence and loss estimates. Note that the loss in any given year can be substantially higher or lower than the estimated annualized loss. -
Classification of a Sample of Felony Offenses
NORTH CAROLINA SENTENCING AND POLICY ADVISORY COMMISSION CLASSIFICATION OF A SAMPLE OF OFFENSES (Effective 12/1/17) CLASS A FELONIES Maximum Punishment of Death or Life Without Parole First-Degree Murder. (14-17) CLASS B1 FELONIES Maximum Punishment of Life Without Parole First-Degree Forcible Sexual Offense. (14-27.26)/First-Degree Second-Degree Murder. (14-17(b)) Statutory Sexual Offense. (14-27.29) First-Degree Forcible Rape. (14-27.21)/First-Degree Statutory Rape (14-27.24) CLASS B2 FELONIES Maximum Punishment of 484* Months Second-Degree Murder. (14-17(b)(1) and (2)) CLASS C FELONIES Maximum Punishment of 231* Months Second-Degree Forcible Rape. (14-27.22) First-Degree Kidnapping. (14-39) Second-Degree Forcible Sexual Offense. (14-27.27) Embezzlement (amount involved $100,000 or more). (14-90) Assault W/D/W/I/K/I/S/I. (14-32(a)) CLASS D FELONIES Maximum Punishment of 204* Months Voluntary Manslaughter. (14-18) Child Abuse Inflicting Serious Physical Injury. (14-318.4(a)) First-Degree Burglary. (14-51) Death by Vehicle. (20-141.4(a)(1)) First-Degree Arson. (14-58) Sell or Deliver a Controlled Substance to a Person Under 16 But Armed Robbery. (14-87) More than 13 Years of Age. (90-95(e)(5)) CLASS E FELONIES Maximum Punishment of 88* Months Sexual Activity by a Substitute Parent or Custodian. (14-27.31) Assault with a Firearm on a Law Enforcement Officer. (14-34.5) Assault W/D/W/I/S/I. (14-32(b)) Second-Degree Kidnapping. (14-39) Assault W/D/W/I/K. -
CHAPTER VI Fundamental Equations of Relativistic Fluid Dynamics
CHAPTER VI Fundamental equations of relativistic fluid dynamics When the energy density becomes large—as may happen for instance in compact astrophysical objects, in the early Universe, or in high-energy collisions of heavy nuclei—the “atoms” constituting a fluid can acquire very high kinetic energies, that become comparable to their (rest) mass energy. A non-relativistic description of the medium is then no longer adapted, and must be replaced by a relativistic model. Some introductory elements of such a description are presented in this Chapter— in which the basic laws governing the dynamics of relativistic fluids are formulated and discussed—, and the following one—which will deal with a few simple analytically tractable solutions of the equations. As in the non-relativistic case, the basic equations governing the motion of a fluid in the rel- ativistic regime are nothing but formulations of the most fundamental laws of physics, namely conservation laws for “particle number”—in fact, for the conserved quantum numbers carried by particles—, and for energy and momentum (Sec. VI.1). Precisely because the equations simply express general conservation laws, they are not very specific, and contain at first too many degrees of freedom to be tractable. To make progress, it is necessary to introduce models for the fluid under consideration, leading for instance to distinguishing between perfect and dissipative fluids. A convenient way to specify the constitutive equations characteristic of such models is to do so in terms of a fluid four-velocity, which generalizes the non-relativistic flow velocity, yet in a non-unique way (Sec. -
Conservation Laws in Physics ∑
1 CONSERVATION LAWS IN PHYSICS 1. Up to this point we have dealt only with Newton’s laws of dynamics: a) Fma (First and second laws) b) FFAB BA (Third law). 2. We now turn to a discussion of the conservation laws of physics: a) conservation of energy b) conservation of linear momentum c) conservation of angular momentum 3. We will use Newton’s laws to derive these important conservation theorems (or laws). It is important to understand that we will not “prove” the conservation laws, but simply derive them as consequences of Newton’s laws. 4. A conservation law or theorem states that a certain defined quantity remains constant no matter what changes may occur. This quantity has the same numerical value before and after the changes occurred. For example, forces may act on an object between some initial and final time, or between some initial or final position, but certain quantities have the same value in the final state as it had in the initial state. 5. The application of these conservation laws allows us to reach certain conclusions about the state of an object without the need for a detailed analysis of all of the various forces acting on it in a given situation in the course of its motion. The quantities: kinetic energy, work, potential energy, linear momentum, and angular 2 momentum, will be defined, and Newton’s laws will be used to derive various conclusions about them. The use of the conservation laws will enable us to solve certain dynamical problems more easily than by the direct application of Newton’s laws.