Preliminary Note on the Masses of the Electron, the Proton, and the Universe

Author(s):  
A. S. Eddington

In an investigation which I hope to publish shortly, I think I have been able to improve my theory of the constanthc/2πe2and to bring it at last into a precise form. No alteration is made in the value 137 obtained in the work already published. The recent advance has been mainly due to the fresh light thrown on the foundations of wave-mechanics by Dr Dirac's book. With a fuller understanding of the “theory of 137” it has been possible to discern opportunities for extension in several directions, and it is with these developments that the present paper deals. They are still in a rudimentary state; but since the theory appears to give correctly either accurate or approximate values of the masses of the electron, the helium atom, and the cosmos in terms of the mass of the proton, it would seem to be on the right lines. Moreover the principle of “ignoration of degrees of freedom” on which the numerical predictions depend is strongly suggested by the theory of the constant 137. If my view is right the only arbitrary constant of nature is the number of particles in the universe—if the numberisarbitrary.

1. This paper develops, and to some extent amends, the theory of the relation of the proton to the electron suggested in a “Preliminary Note on the Masses of the Electron, the Proton, and the Universe.” As explained in that note, my discussion of the constant 137 opened out into a wider investigation embracing other natural constants, and it seemed necessary to pursue this before attempting to perfect the theory of 137. The first result of this extension is contained in a paper on “The Value of the Cosmical Constant.” This is primarily a theory of the mass of an electron; it is satisfactorily confirmed by the observed velocities of recession of the spiral nebulæ, and I think it must be substantially true. But the acceptance of this theory of the electron has the consequence that the relation between the electron and the proton cannot come about quite in the way I had previously had in mind. Indeed, my first impression was that it closed the door to any symmetrical kind of relation between the electron and proton. For my own part, I think it most unlikely that there is any fundamental difference in the intrinsic nature of protons and electrons, and I should regard it as a serious objection to the theory of the cosmical constant if it insisted on such a difference. It is therefore important to show that there is an opening by which the proton is easily brought into the same scheme.


2018 ◽  
Vol 43 ◽  
pp. 01022
Author(s):  
I.S. Arief ◽  
I.K. A. P. Utama ◽  
R. Hantoro ◽  
J. Prananda ◽  
Y. Safitri ◽  
...  

Energy conversion technology derived from ocean wave energy has been developed, one of them is the Power Wave sea-Pendulum System (PLTGL-SB). PLTGL composed of a pontoon which is subjected to the excitation force of ocean waves and will move the pendulum on the top of the pontoon. This study aims to analyze the best shape for PLTGL- SB’s pontoon and determine the largest deviation generated due to the movement of the pendulum vertical pontoon. Pontoon shapes studied are pontoon consisting of a large cylinder in the middle and there are two boats on the right and left, like a trimaran ship. Variations were made in this study consisted of variations of length and height boats, the draft height, wave period, the mass and the length of the pendulum arm. Best pontoon shape is determined by simulating the shape of a pontoon with Computational Fluid Dynamic (CFD). Pendulum deviation obtained by mathematical modeling pontoon two degrees of freedom (roll) and pendulum. Based on the chart Response Amplitude Operator (RAO) pontoon shape is best for PLTGL-SB is a pontoon with a 2/3 full large cylinder diameter, 1.5 cm height boats, catamarans length of 41.5 cm. Based on the results of a mathematical model of the largest deviation of the pendulum is generated when the pontoon is placed in the period of 0.8 s, with a mass and pendulum arm lengths are 19.9 g and 10.6 cm.


2019 ◽  
Vol 25 (2) ◽  
pp. 197-201
Author(s):  
Tudor-Vlad Sfârlog

Abstract The present study offers the doctrine of the right of intellectual creation new perspectives on the study of the institution of termination of the assignment contract for the patrimonial rights resulting from the intellectual creation. We believe that the present study is rich in doctrinal contributions, formulating new theses and opening the prospect for new perspectives of scientific research. Last but not least, we appreciate that the proposals made in the present study contribute not only to the activity of opinionated in the field, but also to the work of practitioners and direct beneficiaries of the legal provisions on the assignment of patrimonial rights of authors.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ben Craps ◽  
Marine De Clerck ◽  
Philip Hacker ◽  
Kévin Nguyen ◽  
Charles Rabideau

Abstract Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question to what extent OTOCs display chaotic behaviour in horizonless microstate geometries. This question is complicated by the fact that Lyapunov growth of OTOCs requires nonzero temperature, whereas constructions of microstate geometries have been mostly restricted to extremal black holes.In this paper, we compute OTOCs for a class of extremal black holes, namely maximally rotating BTZ black holes, and show that on average they display “slow scrambling”, characterized by cubic (rather than exponential) growth. Superposed on this average power-law growth is a sawtooth pattern, whose steep parts correspond to brief periods of Lyapunov growth associated to the nonzero temperature of the right-moving degrees of freedom in a dual conformal field theory.Next we study the extent to which these OTOCs are modified in certain “superstrata”, horizonless microstate geometries corresponding to these black holes. Rather than an infinite throat ending on a horizon, these geometries have a very deep but finite throat ending in a cap. We find that the superstrata display the same slow scrambling as maximally rotating BTZ black holes, except that for large enough time intervals the growth of the OTOC is cut off by effects related to the cap region, some of which we evaluate explicitly.


Among the celestial bodies the sun is certainly the first which should attract our notice. It is a fountain of light that illuminates the world! it is the cause of that heat which main­tains the productive power of nature, and makes the earth a fit habitation for man! it is the central body of the planetary system; and what renders a knowledge of its nature still more interesting to us is, that the numberless stars which compose the universe, appear, by the strictest analogy, to be similar bodies. Their innate light is so intense, that it reaches the eye of the observer from the remotest regions of space, and forcibly claims his notice. Now, if we are convinced that an inquiry into the nature and properties of the sun is highly worthy of our notice, we may also with great satisfaction reflect on the considerable progress that has already been made in our knowledge of this eminent body. It would require a long detail to enumerate all the various discoveries which have been made on this subject; I shall, therefore, content myself with giving only the most capital of them.


2019 ◽  
Vol 127 ◽  
pp. 02009
Author(s):  
Boris Shevtsov

Nonlinear oscillations in the dynamic system of gravitational and material fields are considered. The problems of singularities and caustics in gravity, expansion and baryon asymmetry of the Universe, wave prohibition of collapse into black holes, and failure of the Big Bang concept are discussed. It is assumed that the effects of the expansion of the Universe are coupling with the reverse collapse of dark matter. This hypothesis is used to substantiate the vortex and fractal structures in the distribution of matter. A system of equations is proposed for describing turbulent and fluctuation processes in gravitational and material fields. Estimates of the di usion parameters of such a system are made in comparison with the gravitational constant.


1996 ◽  
Vol 3 (1) ◽  
pp. 49-74
Author(s):  
Alan Meisel

AbstractIn the 20 years that have passed since the Karen Quinlan case exposed a simmering clinical issue to the light of day — more precisely, to the press and to judicial process — a consensus has developed in American law about how end-of-life decisionmaking should occur. To be sure, there are dissenting voices from this consensus, but they are often (though not always) about minor issues. By illustrating how this consensus has evolved, this paper explores how law is made in the American legal system and the roles that different legal and extra-legal institutions play in lawmaking.


2002 ◽  
Vol 11 (02) ◽  
pp. 83-104 ◽  
Author(s):  
GUILHERME F. MARRANGHELLO ◽  
CESAR A. Z. VASCONCELLOS ◽  
MANFRED DILLIG ◽  
J. A. DE FREITAS PACHECO

Thermodynamical properties of nuclear matter are studied in the framework of an effective many-body field theory at finite temperature, considering the Sommerfeld approximation. We perform the calculations by using the nonlinear Boguta and Bodmer model, extended by the inclusion of the fundamental baryon octet and leptonic degrees of freedom. Trapped neutrinos are also included in order to describe protoneutron star properties through the integration of the Tolman–Oppenheimer–Volkoff equations, from which we obtain, beyond the standard relations for the masses and radii of protoneutron stars as functions of the central density, new results of these quantities as functions of temperature. Our predictions include: the determination of an absolute value for the limiting mass of protoneutron stars; new structural aspects on the nuclear matter phase transition via the behavior of the specific heat and, through the inclusion of quark degrees of freedom, the properties of a hadron-quark phase transition and hybrid protoneutron stars


Diogenes ◽  
2021 ◽  
Vol 29 (2) ◽  
Author(s):  
Nikolay Alexandrov ◽  
◽  
◽  

The article is devoted to a key moment in the history of British liberalism when, under the influence of the Industrial Revolution, the need arose for a revision of classical liberal teaching. On the border between classical and social liberalism stands the figure of the British philosopher and economist John Stuart Mill who attempted to update the basic tenets of liberal ideology. Taking into account the socio-economic reality of his time, he set out to revise the foundations of liberal ideology, rethinking in modern times the problems of freedom, property and governance by expanding their perimeter in favour of the masses. This article also details Stuart Mill’s concept of individualism and collectivism in the context of freedom and the right to self-determination.


2021 ◽  
Vol 138 (1) ◽  
pp. 88-114
Author(s):  
Thino Bekker

The summary judgment procedure in South African law provides for a speedy judgment in favour of a deserving plaintiff where it can be shown that the defendant does not have a triable defence. In 2019 the Rules Board made certain drastic amendments to the procedure of summary judgment in the high court. In this article the historical development of the procedure of summary judgment will be discussed, and the new amendments to rule 32 of the Uniform Rules of Court critically evaluated. It will be argued that the amendments to rule 32 were unnecessary and that it may diminish the right to access to justice in civil disputes. It will, however, also be argued that there are some merits in the critique raised by the Rules Board in relation to rule 32 and that the Rules Board missed a golden opportunity to overhaul the entire summary judgment procedure in a more sensible manner and in line with the core constitutional values of s 34 of the Constitution. It will be argued that rule 32 should be replaced in its entirety by a new, more streamlined procedure, and some recommendations for legal reform will be made in this regard.


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