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Discrete states of redshift and galaxy dynamics. I - Internal motions in single galaxies

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Abstract

This paper develops the concept that the redshift can occur only in specific discrete values. The key to the development is a dual-redshift model for individual galaxies. Well-known local galaxies, especially M31 in great detail, are shown to consist of two basic opposed streams of outflowing material which have an intrinsic difference of redshift of 70-75 km/s. A smooth symmetrical rotation and expansion curve coupled with the multiple-redshift model is sufficient to account for all the redshift data. The paper is almost entirely empirical and draws upon large amounts of the best data available on galaxies. Where definite differences exist in the form of the data as predicted by conventional dynamics and the discrete redshift concept, the data favor the latter.

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... Neste primeiro artigo, ele analisa os movimentos internos de galáxias individuais medidos pelos desvios para o vermelho. Ele apresenta distribuições de z que aparecem em múltiplos discretos de cz = 70−75 km/s [71]. Em trabalhos posteriores, ele refinaria o passo da quantização para cz = 72 km/s, como no estudo de galáxias binárias (ver fig. ...
... Figura 9.2: Esquerda: figura 1 de Tifft[74] com a distribuição de desvios, expressos em km/s, para uma amostra de galáxias binárias. Os picos em 72 km/s e seus múltiplos são aparentes (ver também[71]). Direita: figura 1 de Karlsson[73] com a distribuição de desvios para o vermelho z de uma amostra de 574 quasares. ...
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Este livro contém uma coletânea de textos onde apresento as minhas reflexões sobre vários aspectos da cosmologia moderna. Ele surgiu de minha experiência como professor de cosmologia relativista no curso de graduação em física do Departamento de Física da Universidade Federal de Minas Gerais, durante o período de 2001 a 2010. O público alvo é, primordialmente, constituído por estudantes de física e astronomia que cursam a graduação, mas leitores em nível de pós-graduação e pesquisadores em astrofísica e cosmologia também poderão encontrar algum proveito na leitura destes Ensaios. Por outro lado, a maioria dos ensaios não exige conhecimento da matemática de graduação universitária. Um ensaio, "A escuridão do espaço profundo", foi escrito em colaboração com meu colega da Universidade Estadual de Maringá, PR, Prof. Marcos César Danhoni Neves. A ele, os meus sinceros agradecimentos. Agradeço também, em especial, ao Prof. Reynier Peletier do Instituto Astronômico Kapteyn, da Universidade de Groningen, Holanda, pela facilitação do uso do computador do Instituto Kapteyn, que muito me ajudou, particularmente na confecção de muitas figuras e diagramas que aparecem nos Ensaios. A capa é a reprodução de uma imagem obtida pelo "Two Micron All Sky Survey" (2MASS), um projeto conjunto da Universidade de Massachusetts e do Centro de Análise e Processamento de Infravermelho do Instituto de Tecnologia da Califórnia, financiado pela NASA e pela NSF ("National Science Foundation"). Todos os Ensaios desta coleção aparecem também em minha página eletrônica pessoal no Departamento de Física (http://www.fisica.ufmg.br/dsoares/) nas seções "Tópicos em cosmologia relativista" e "Textos & Notícias" Domingos Soares Belo Horizonte, MG, outubro de 2021
... In this first paper, he analyses the internal motions of individual galaxies measured by the redshifts. He shows distributions of z which appear in discrete multiples of cz = 70 − 75 km/s [19]. In later studies, he would refine the quantization step to cz = 72 km/s, as in the study of binary galaxies (see fig. 2 ...
... [22] with the distribution of shifts, expressed in km/s, for a sample of binary galaxies. The peaks at 72 km/s and their multiples are apparent (see also [19]). Right: figure 1 of Karlsson [21] with the distribution of redshifts z for a sample of 574 quasars. ...
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Cosmologist Edward Harrison (1919-2007) created an instructive image regarding the redshifts observed in modern astrophysics. The light detected by our telescopes is affected by three types of redshifts that perform a true dance of ∆λs, the Harrison ballet. Inspired in the work of astronomer Halton Arp (1927-2013) --- the "Galileo of Palomar" ---, I present the contemporary version of the ballet by adding to the three types two more characteristics, which prove to be very important in modern cosmology: the anomalous redshifts and the quantization of redshifts. I also discuss a Machian relativistic cosmology that aims to incorporate these new observational features.
... Neste primeiro artigo, ele analisa os movimentos internos de galáxias individuais medidos pelos desvios para o vermelho. Ele apresenta distribuições de z que aparecem em múltiplos discretos de cz = 70− 75 km/s [19]. Em trabalhos posteriores, ele refinaria o passo da quantização para cz = 72 km/s, como no estudo de galáxias binárias (ver fig. 2 abaixo). ...
... As investigações de Geoffrey Burbidge, publicada em 1968 [20], e do astrônomo sueco K. G. Karlsson, publicada em 1977 [21], apresentaram as periodicidades para grandes desvios para o vermelho. Eles encontraram uma progressão geométrica, denominada série de Karlsson, dada por ∆ log(1 + z) = constante = 0, 089 ou, escrevendo de outra forma, [19]). Direita: figura 1 de Karlsson [21] com a distribuição de desvios para o vermelho z de uma amostra de 574 quasares. ...
Preprint
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O cosmólogo Edward Harrison (1919-2007) criou uma imagem instrutiva a respeito dos desvios para o vermelho observados na astrofísica moderna. A luz detectada por nossos telescópios está afetada por três tipos de desvios para o vermelho, os quais executam uma verdadeira dança de lambdas, o "balé de Harrison". Inspirado no trabalho do astrônomo Halton Arp (1927-2013) --- o "Galileu de Palomar" ---, apresento a versão contemporânea do balé, acrescentando aos três tipos mais duas características que se mostram muito importantes na cosmologia moderna: os desvios anômalos e a quantização dos desvios para o vermelho. Discuto também uma cosmologia relativista machiana que pretende incorporar estas novas características observacionais.
... In order to find the time, that will be independent of one's choice of coordinates, an upper limit of measurable time from an event, back to the big-bang singularity was proposed by Suchard [6]. Tifft put forward the idea that the observed redshift quantization of galaxies could possibly explain an underlying time quantization scheme [7]. A more recent developments on time quantized models are based on quasi-local invariant observables by Elze [8] and a perturbative approach to quantization by Barbero et.al [9]. ...
... In a homogeneous and isotropic universe we also expect the redshift distribution of extragalactic objects to approximate to a continuous and aperiodic distribution. However, Tifft [366,367,368] affirmed that there was a periodicity of 70-75 km/s in the redshift of the galaxies. In an improved correction for the optimum solar vector, the periodicity is found to be 37 km/s (which includes Tifft's result for twice this velocity) with a probability of finding this period by chance of 2.7 × 10 −5 [369]. ...
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The main foundations of the standard Λ\Lambda CDM model of cosmology are that: 1) The redshifts of the galaxies are due to the expansion of the Universe plus peculiar motions; 2) The cosmic microwave background radiation and its anisotropies derive from the high energy primordial Universe when matter and radiation became decoupled; 3) The abundance pattern of the light elements is explained in terms of primordial nucleosynthesis; and 4) The formation and evolution of galaxies can be explained only in terms of gravitation within a inflation+dark matter+dark energy scenario. Numerous tests have been carried out on these ideas and, although the standard model works pretty well in fitting many observations, there are also many data that present apparent caveats to be understood with it. In this paper, I offer a review of these tests and problems, as well as some examples of alternative models.
... In a homogeneous and isotropic universe we also expect the redshift distribution of extragalactic objects to approximate to a continuous and aperiodic distribution. However, Tifft [366][367][368] affirmed that there was a periodicity of 70-75 km/s in the redshift of the galaxies. In an improved correction for the optimum solar vector, the periodicity is found to be 37 km/s (which includes Tifft's result for twice this velocity) with a probability of finding this period by chance of 2.7×10 −5 [369]. ...
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The main foundations of the standard Λ\Lambda CDM model of cosmology are that: 1) The redshifts of the galaxies are due to the expansion of the Universe plus peculiar motions; 2) The cosmic microwave background radiation and its anisotropies derive from the high energy primordial Universe when matter and radiation became decoupled; 3) The abundance pattern of the light elements is explained in terms of primordial nucleosynthesis; and 4) The formation and evolution of galaxies can be explained only in terms of gravitation within a inflation+dark matter+dark energy scenario. Numerous tests have been carried out on these ideas and, although the standard model works pretty well in fitting many observations, there are also many data that present apparent caveats to be understood with it. In this paper, I offer a review of these tests and problems, as well as some examples of alternative models.
... are the associated Legendre polynomials, n is the gravitational equivalent of the principal quantum number, l is the gravitational equivalent of the orbital quantum number and m is the gravitational equivalent of the magnetic quantum number. For physical reasons, only the following combination of gravitational quantum numbers, extension of the previous method in the two body problem with comparable rest mass, the quantization in galaxy pairs can be obtained (Tifft's effect[16]).The inertial forces 0 D D m V V appear for m=0states (static states), in which the Newton and non-differentiable forces balance each other: dynamical states) the inertial, Newton and non-differentiable forces are in balance in every field ...
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... Many of the galaxies spatially near M31 appear to be dynamically affected by its presence and motion. Arp [39] managed to circumvent the problem by correcting velocities of more massive galaxies in the Local Group for redshift quantization [40,41], bringing the question of the local circular velocity of the Galaxy into the controversial arena of quasar redshifts. Arp's solution of 251 km s −1 for the Sun's motion relative to neighbouring galaxies [39] agrees closely with the Carlberg and Innanen result, but the methodology raises questions about its validity. ...
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... In order to find the time, that will be independent of one's choice of coordinates, an upper limit of measurable time from an event, back to the big-bang singularity was proposed by Suchard [6]. Tifft put forward the idea that the observed redshift quantization of galaxies could possibly explain an underlying time quantization scheme [7]. A more recent developments on time quantized models are based on quasi-local invariant observables by Elze [8] and a perturbative approach to quantization by Barbero et.al [9]. ...
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In this paper, we examine an ansatz, where anti-commutation rules hold only as integrated averages over time intervals, and not at every instant, giving rise to a time-discrete form solution to the Klein-Gordon equation. This coarse-grained validation of the anti-commutation rules enables us to show that the relativistic energy-momentum relation holds only over discrete time intervals (or at discrete time instants), fitting well with the known time-energy uncertainty relation. How this time-discrete scheme, when applied to 4-vector notation in relativity, could quantize the line-element and thereby quantizing the physical attributes associated with time, space and matter is sketched. By associating this time-discrete energy-momentum conservation, with the conservation of physical quantities of a particle in relativistic motion, we identify particle-instants, separated by particle-intervals and thereby show that, more precisely one determines a particle's physical attributes associated with particle-instants, the less precisely its attributes associated with particle-intervals can be known, and vice-versa, and how this scheme could potentially be extended to discuss the Zeno's arrow paradox within the classical limit is presented. As the solutions of the Dirac equation can be used to construct solutions to the Klein-Gordon equation, we apply this temporal quantization rule to the Dirac equation and ask how it interprets the solutions associated with the Dirac equation under such conditions. Finally, we introduce the general relativistic effects to a line-element associated with a particle in relativistic motion and obtain a time quantized line-element associated with gravity.
... These last two Milky Way Subgroup and Galaxy low density black holes would actually fit the quantized galactic distances and quantized redshift phenomenon researched in the late 90s [47,48,49,50,51]. Other scientists (including Hawking) tried to find this periodicity with the latest data but found no correlation, or that could not be explained by grouping or selection effects [47]. ...
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... Though it justifies electron-positron immediately annihilate each other. 20 it also explains why proton and antiproton or neutron and antineutron fails to produce Gamma ray photons directly 21 If Dirac's hypothesis of 2mc 2 (Ref. 23) would have been the only way to annihilation, 22 even in the later case, photon must have been generated. ...
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... Many of the galaxies spatially near M31 appear to be dynamically affected by its presence and motion. Arp [39] managed to circumvent the problem by correcting velocities of more massive galaxies in the Local Group for redshift quantization [40,41], bringing the question of the local circular velocity of the Galaxy into the controversial arena of quasar redshifts. Arp's solution of 251 km s −1 for the Sun's motion relative to neighbouring galaxies [39] agrees closely with the Carlberg & Innanen result, but the methodology raises questions about its validity. ...
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... W.G. Tifft (Tifft 1976(Tifft , 1977(Tifft , 1979(Tifft , 1991 claims to have measured 'quantization' in extragalactic redshifts. Setterfield invokes these results to build a cosmological redshift model. ...
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... So the general increase in redshift with distance may hold, but there also exist components of "intrinsic" redshift, due to the interaction of the stars themselves. Moreover, Doppler expansion offers little explanation for the William Tifft's discovered quantization of redshift with distance from a rotational center 28,29,30 . As the planet spacing in a Bode's Law quantization suggests some sort of interaction between the planets, so Tifft's quantization suggests interaction between the sources of the redshifted light. ...
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